{"id":254,"date":"2016-12-22T19:52:28","date_gmt":"2016-12-22T19:52:28","guid":{"rendered":"http:\/\/rentabilitet.dk\/opgaver\/?page_id=254"},"modified":"2016-12-22T19:52:28","modified_gmt":"2016-12-22T19:52:28","slug":"eksponentialfunktioner","status":"publish","type":"page","link":"https:\/\/rentabilitet.dk\/opgaver\/matematik\/eksponentialfunktioner\/","title":{"rendered":"Eksponentialfunktioner"},"content":{"rendered":"<html xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:default=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<style>\n.docxpressoPlugin {\n\tfont-size: 83.35%;\n}\n\n.h5p_layout {\n    box-sizing: content-box !important;\n}\n\n.h5p_layout *{\n    float: none;\n    text-align: initial;\n\tbox-sizing: border-box;\n}\n\/*to make sure that floating elements are always inside the document bounds*\/\n.h5p_layout:after {\n    content: \" \";\n    display: block;\n    height: 0;\n    clear: both;\n    visibility: hidden;\n}\n\/* a default layout for documents 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{counter-increment: ulLFO4_1;content: counter(ulLFO4_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul {counter-reset: ulLFO4_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li:before {counter-increment: ulLFO4_2;content: counter(ulLFO4_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul {counter-reset: ulLFO4_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li:before {counter-increment: ulLFO4_3;content: counter(ulLFO4_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul {counter-reset: ulLFO4_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li:before {counter-increment: ulLFO4_4;content: counter(ulLFO4_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul ul {counter-reset: ulLFO4_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li:before {counter-increment: ulLFO4_5;content: counter(ulLFO4_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul ul ul {counter-reset: ulLFO4_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_6;content: counter(ulLFO4_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul ul ul ul {counter-reset: ulLFO4_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_7;content: counter(ulLFO4_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_8;content: counter(ulLFO4_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO4 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO4_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO4 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO4_9;content: counter(ulLFO4_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 {margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul {margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_1;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul {margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_2;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul {margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_3;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul {margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_4;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul ul {margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_5;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul ul ul {margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_6;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul ul ul ul {margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_7;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul ul ul ul ul {margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_8;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO5 ul ul ul ul ul ul ul ul ul {margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO5 li ul li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO5_9;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 {margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul {margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_1;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul {margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_2;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul {margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_3;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul {margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_4;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul ul {margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_5;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul ul ul {margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_6;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul ul ul ul {margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_7;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul ul ul ul ul {margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_8;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO6 ul ul ul ul ul ul ul ul ul {margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO6 li ul li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;font-size: 10pt !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO6_9;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 {counter-reset: ulLFO7_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul {counter-reset: ulLFO7_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li:before {counter-increment: ulLFO7_1;content: counter(ulLFO7_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul {counter-reset: ulLFO7_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li:before {counter-increment: ulLFO7_2;content: counter(ulLFO7_2, lower-latin)  \") \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul {counter-reset: ulLFO7_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li:before {counter-increment: ulLFO7_3;content: counter(ulLFO7_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul {counter-reset: ulLFO7_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li:before {counter-increment: ulLFO7_4;content: counter(ulLFO7_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul ul {counter-reset: ulLFO7_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li:before {counter-increment: ulLFO7_5;content: counter(ulLFO7_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul ul ul {counter-reset: ulLFO7_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_6;content: counter(ulLFO7_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul ul ul ul {counter-reset: ulLFO7_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_7;content: counter(ulLFO7_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_8;content: counter(ulLFO7_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO7 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO7_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO7 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO7_9;content: counter(ulLFO7_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 {counter-reset: ulLFO8_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul {counter-reset: ulLFO8_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li:before {counter-increment: ulLFO8_1;content: counter(ulLFO8_1, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul {counter-reset: ulLFO8_3;margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li:before {counter-increment: ulLFO8_2;content: counter(ulLFO8_2, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul {counter-reset: ulLFO8_4;margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li:before {counter-increment: ulLFO8_3;content: counter(ulLFO8_3, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul {counter-reset: ulLFO8_5;margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li:before {counter-increment: ulLFO8_4;content: counter(ulLFO8_4, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul ul {counter-reset: ulLFO8_6;margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li:before {counter-increment: ulLFO8_5;content: counter(ulLFO8_5, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul ul ul {counter-reset: ulLFO8_7;margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_6;content: counter(ulLFO8_6, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul ul ul ul {counter-reset: ulLFO8_8;margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_7;content: counter(ulLFO8_7, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_9;margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_8;content: counter(ulLFO8_8, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO8 ul ul ul ul ul ul ul ul ul {counter-reset: ulLFO8_10;margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO8 li ul li ul li ul li ul li ul li ul li ul li ul li:before {counter-increment: ulLFO8_9;content: counter(ulLFO8_9, decimal)  \". \";margin-left: -0.25in;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 {margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul {margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li:before {font-family: Calibri !important;content: \"-\";counter-increment: ulLFO9_1;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul {margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO9_2;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul {margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO9_3;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul {margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li:before {font-family: Symbol !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO9_4;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul ul {margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO9_5;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul ul ul {margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO9_6;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul ul ul ul {margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO9_7;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul ul ul ul ul {margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO9_8;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO9 ul ul ul ul ul ul ul ul ul {margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO9 li ul li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO9_9;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 {margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul {margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li:before {font-family: Calibri !important;content: \"-\";counter-increment: ulLFO10_1;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul {margin-left: -0.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li {text-indent: -0.25in;margin-left: 72pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO10_2;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul {margin-left: -1.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li {text-indent: -0.25in;margin-left: 108pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO10_3;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul {margin-left: -1.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li {text-indent: -0.25in;margin-left: 144pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li:before {font-family: Symbol !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO10_4;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul ul {margin-left: -2.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 180pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO10_5;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul ul ul {margin-left: -2.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 216pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO10_6;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul ul ul ul {margin-left: -3.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 252pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li:before {font-family: Symbol !important;content: \"\\2022\";font-family: Verdana;counter-increment: ulLFO10_7;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul ul ul ul ul {margin-left: -3.75in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 288pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Courier New !important;content: \"o\";counter-increment: ulLFO10_8;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO10 ul ul ul ul ul ul ul ul ul {margin-left: -4.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li {text-indent: -0.25in;margin-left: 324pt;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO10 li ul li ul li ul li ul li ul li ul li ul li ul li:before {font-family: Wingdings !important;content: \"\\25aa\";counter-increment: ulLFO10_9;margin-left: -0.25in;display: table-cell;display: table-cell;}\n div#h5p_6a48707fc6b9f ul.LFO11 {counter-reset: ulLFO11_1;margin-left: 0;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO11 ul {counter-reset: ulLFO11_2;margin-left: -0.25in;padding: 0; list-style-type: none;font-size: 11pt;}\n div#h5p_6a48707fc6b9f ul.LFO11 li {text-indent: -0.25in;margin-left: 36pt;font-size: 11pt;}\n 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id=\"h5p_6a48707fc6b9f\"><section xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"section_0\" class=\"h5p_layout h5p_page h5p_page_PL0\"><div class=\"PL0\"><div style=\"left: 0;height: 827.24976pt;width: 578.90016pt;\" class=\"a14\"><div style=\"left: 0;height: 827.24976pt;position: absolute;width: 578.90016pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 11.48958in;width: 8.04028in;margin-left: 0.0125in;margin-top: 0in;\" class=\"a1\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a1\" height=\"11.48958in\" width=\"8.04028in\" viewBox=\"0 0 772 1103\"><g><path d=\"M 0 0 L 772 0 772 1103 0 1103 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 11.48958in;width: 5.88339in;margin-left: 2.16939in;margin-top: 0in;\" class=\"a2\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a2\" height=\"11.48958in\" width=\"5.88339in\" viewBox=\"0 0 565 1103\"><g><path d=\"M 0 0 L 565 0 565 1103 0 1103 Z\"\/><\/g><\/svg><p class=\"Ingenafstand\"><span class=\"T6\">Eksponentialfunktioner<\/span><\/p><p class=\"Ingenafstand\"><span class=\"T7\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P8\">&nbsp;<\/p><p class=\"P9\">&nbsp;<\/p><p class=\"P10\">&nbsp;<\/p><\/div><div style=\"left: 0;height: 500.20416pt;position: absolute;width: 78.12288pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 1.08504in;margin-top: 4.62719in;\" class=\"a3\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a3\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 1.08504in;margin-top: 3.46714in;\" class=\"a4\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a4\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 0in;margin-top: 3.46714in;\" class=\"a5\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a5\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 0in;margin-top: 2.30709in;\" class=\"a6\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a6\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 0in;margin-top: 4.62719in;\" class=\"a7\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a7\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.16005in;width: 1.08504in;margin-left: 1.08504in;margin-top: 5.78723in;\" class=\"a8\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a8\" height=\"1.16005in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 1.16081in;width: 1.08504in;margin-left: 1.64457in;margin-top: 0in;\" class=\"a9\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a9\" height=\"1.16081in\" width=\"1.08504in\" viewBox=\"0 0 104 111\"><g><path d=\"M 0 0 L 104 0 104 111 0 111 Z\"\/><\/g><\/svg><p class=\"P11\">&nbsp;<\/p><\/div><\/div><div style=\"left: 0;height: 827.24976pt;position: absolute;width: 354.88296pt;\" class=\"\"><div style=\"left: 0;height: 811.06632pt;position: absolute;width: 19.53pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 0.29266in;width: 0.27125in;margin-left: 7.29592in;margin-top: 10.97215in;\" class=\"a10\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a10\" height=\"0.29266in\" width=\"0.27125in\" viewBox=\"0 0 26 28\"><g><path d=\"M 0 0 L 26 0 26 28 0 28 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.29266in;width: 0.27125in;margin-left: 7.29592in;margin-top: 10.68375in;\" class=\"a11\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a11\" height=\"0.29266in\" width=\"0.27125in\" viewBox=\"0 0 26 28\"><g><path d=\"M 0 0 L 26 0 26 28 0 28 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.29266in;width: 0.27125in;margin-left: 7.56717in;margin-top: 10.68375in;\" class=\"a12\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a12\" height=\"0.29266in\" width=\"0.27125in\" viewBox=\"0 0 26 28\"><g><path d=\"M 0 0 L 26 0 26 28 0 28 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 1.0566in;width: 4.92893in;margin-left: 2.26502in;margin-top: 10.43298in;\" class=\"a13\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a13\" height=\"1.0566in\" width=\"4.92893in\" viewBox=\"0 0 473 101\"><g><path d=\"M 0 0 L 473 0 473 101 0 101 Z\"\/><\/g><\/svg><p class=\"P12\"><span class=\"T13\">Frederik Hovmark Pedersen<\/span><\/p><p class=\"P14\">&nbsp;<\/p><p class=\"P15\">&nbsp;<\/p><\/div><\/div><\/div><p class=\"P1\"><span id=\"_GoBack\"\/><\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"P16\">&nbsp;<\/p><p class=\"Overskrift\"><span class=\"T17\">Indhold<\/span><\/p><div><p class=\"P18\"><a href=\"#_Toc384325755\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Indledning<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P19\"><a href=\"#_Toc384325756\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Teori<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325757\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Forskrift for eksponentialfunktion<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325758\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Grafen<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325759\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Monotoniforhold<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325760\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Definitions- og v\u00e6rdim\u00e6ngde<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325761\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Forskrift for eksponentialfunktion ud fra to punkter<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325762\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Tiln\u00e6rmelsesvis eksponentiel udvikling<\/span>&emsp;<span>4<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325763\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Eksponentielle ligninger<\/span>&emsp;<span>4<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325764\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Sk\u00e6ringspunktet mellem to eksponentialfunktioner<\/span>&emsp;<span>5<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325765\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Fordoblingskonstanten<\/span>&emsp;<span>6<\/span><\/a><\/p><p class=\"P20\"><a href=\"#_Toc384325766\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Bevis for fordoblingskonstanten<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325767\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Halveringskonstant<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"P21\"><a href=\"#_Toc384325768\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgaver<\/span>&emsp;<span>8<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325769\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgave 1<\/span>&emsp;<span>8<\/span><\/a><\/p><p class=\"Indholdsfortegnelse2\"><a href=\"#_Toc384325770\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgave 2<\/span>&emsp;<span>9<\/span><\/a><\/p><\/div><p class=\"Normal\">&nbsp;<\/p><h2 class=\"Overskrift2\">&nbsp;<\/h2><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><p class=\"Normal\">&nbsp;<\/p><h1 class=\"P22\"><span id=\"_Toc384325755\"\/><span class=\"T23\">Indledning<\/span><\/h1><p class=\"P24\"><span>Gennem denne emneopgave vil jeg arbejde med eksponentielle funktioner.<\/span>&#x200b;&#x200b;&nbsp;<span>En eksponentiel<\/span>&#x200b;&#x200b;&nbsp;<span>funktion<\/span>&#x200b;&#x200b;&nbsp;<span>er en funktion der stiger eller falder med samme procentsats. Det vil sige, at en eksponentiel funktion<\/span>&#x200b;&#x200b;&nbsp;<span>kan benyttes til at udregne en udvikling over en bestemt tid.<\/span>&#x200b;&#x200b;&nbsp;<span>Et typisk eksempel p\u00e5 en eksponentiel udvikling, er et bel\u00f8b der s\u00e6ttes i banken, og derefter vokser med en bestemt rentetilskrivning. En eksponentialfunktion kan dog ogs\u00e5 v\u00e6re prisudviklingen p\u00e5 en vare, befolkningsudviklingen i et land,<\/span>&#x200b;&#x200b;&nbsp;<span>produktionsanl\u00e6g i en virksomhed som afskrives efter saldometoden<\/span>&#x200b;&#x200b;&nbsp;<span>og s\u00e5 videre.<\/span>&#x200b;&#x200b;&nbsp;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/p><p class=\"P25\"><span>I min emneopgave vil jeg f\u00f8rst gennemg\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>teorien for en eksponentielle<\/span>&#x200b;&#x200b;&nbsp;<span>funktioner. Her vil jeg komme ind p\u00e5 den generelle forskrift for en eksponentialfunktion, jeg vil tale om grafen<\/span>&#x200b;&#x200b;&nbsp;<span>for en eksponentialfunktion, om monotoniforhold, definitions- og v\u00e6rdim\u00e6ngde, og jeg vil se p\u00e5 hvordan man finder forskriften<\/span>&#x200b;&#x200b;&nbsp;<span>for eksponentialfunktion ud fra to punkter. Jeg vil se p\u00e5 tiln\u00e6rmelsesvis eksponentielle udviklinger, p\u00e5 eksponentielle ligninger, hvor jeg vil komme ind p\u00e5 logaritmeregler og s\u00e5 videre. Og til sidst vil jeg se p\u00e5 fordoblings- og halveringskonstanten. Efterf\u00f8lgende vil jeg s\u00e5 benytte teorien til at l\u00f8se en r\u00e6kke opgaver, der hovedsageligt omhandler eksponentielle funktioner. <\/span>&#x200b;&#x200b;&nbsp;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/p><h1 class=\"P26\"><span id=\"_Toc384325756\"\/><span>Teori<\/span><\/h1><h2 class=\"P27\"><span id=\"_Toc384325757\"\/><span>Forskrift for eksponentialfunktion<\/span><\/h2><p class=\"P28\"><span class=\"T29\">Forskriften for en eksponentiel funktion er:<\/span><span class=\"T30\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T31\">f(x) = b * a<\/span><span class=\"T32\">x<\/span><span class=\"T33\">.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T34\">Her er begyndelsesv\u00e6rdien s\u00e5 b, mens a er fremskrivning<\/span><span class=\"T35\">sfaktoren\/afskrivningsfaktoren.<\/span><span class=\"T36\">&#x200b;&#x200b;&nbsp;Skal vi finde a er vi n\u00f8dt til at kende den relative tilv\u00e6kst(r), som er den procentvise stigning som decimaltal, og a findes s\u00e5 ved at sige 1 + r.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T37\">Og endeligt, s\u00e5 er x antal terminer.<\/span><\/p><p class=\"P38\"><span class=\"T39\">Et eksempel p\u00e5 en eksponentialfunktion kunne v\u00e6re, at vi har 500 kr. p\u00e5 en konto, som stiger med<\/span><span class=\"T40\">&#x200b;&#x200b;&nbsp;5% p.a. Vi vil s\u00e5 vide hvor meget der er p\u00e5 kontoen efter&#x200b;&#x200b;&nbsp;<\/span><span class=\"T41\">10 \u00e5r.<\/span><span class=\"T42\">&#x200b;&#x200b;&nbsp;Funktionen bliver s\u00e5:<\/span><span class=\"T43\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T44\">f(x)&#x200b;&#x200b;&nbsp;<\/span><span class=\"T45\">= 500 *<\/span><span class=\"T46\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T47\">(1+0,05)<\/span><span class=\"T48\">10<\/span><span class=\"T49\">&#x200b;&#x200b;&nbsp;= 500 *<\/span><span class=\"T50\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T51\">1,05<\/span><span class=\"T52\">10<\/span><span class=\"T53\">&#x200b;&#x200b;&nbsp;= 814,45<\/span><span class=\"T54\">&#x200b;&#x200b;&nbsp;kr.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T55\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T56\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h2 class=\"P57\"><span id=\"_Toc384325758\"\/><span>Grafen<\/span>&#x200b;&#x200b;&nbsp;&emsp;<\/h2><p class=\"P58\"><span>Grafen for en eksponentialfunktion kan naturligvis v\u00e6re enten voksende eller aftagende, alt efter om a er st\u00f8rre eller mindre end 1. I grafen angiver begyndelsesv\u00e6rdien b s\u00e5, hvor grafen sk\u00e6rer y-aksen.<\/span>&#x200b;&#x200b;&nbsp;<span>Tegning af grafen for en eksponentialfunktion i et almindeligt koordinatsystem kr\u00e6ver en del st\u00f8ttepunkter. Men<\/span>&#x200b;&#x200b;&nbsp;<span>der<\/span>&#x200b;&#x200b;&nbsp;<span>findes et enkeltlogaritmisk koordinatsystem, som kan bruges i stedet.<\/span>&#x200b;&#x200b;&nbsp;<span>Det smarte ved dette specielle koordinatsystem er, at den eksponentielle funktion her bliver afbildet i rette linjer, og dermed er lettere at afl\u00e6se.<\/span>&#x200b;&#x200b;&nbsp;<\/p><h2 class=\"P59\"><span id=\"_Toc384325759\"\/><span>Monotoniforhold<\/span><\/h2><p class=\"P60\"><span>Monotoniforholdene fort\u00e6ller noget om, hvorledes grafen er voksende eller aftagende. Dette ses s\u00e5ledes:\u00a0<\/span><\/p><ul class=\"LFO9\" style=\"counter-reset: ulLFO9_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P61\"><span>f(x)<\/span>&#x200b;&#x200b;&nbsp;<span>er<\/span>&#x200b;&#x200b;&nbsp;<span>voksende<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5r<\/span>&#x200b;&#x200b;&nbsp;<span>a er st\u00f8rre end 1(a &gt;<\/span>&#x200b;&#x200b;&nbsp;<span>1)<\/span>&#x200b;&#x200b;&nbsp;<span>eller<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5r r er st\u00f8rre end 0(r &gt; 0).<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P62\"><span>f(x)<\/span>&#x200b;&#x200b;&nbsp;<span>er aftagende n\u00e5r a er<\/span>&#x200b;&#x200b;&nbsp;<span>mindre end 1(a &lt; 1)<\/span>&#x200b;&#x200b;&nbsp;<span>eller<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5r r er st\u00f8rre end -1 og mindre end 0(-1 &lt; r &lt; 0).<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P63\"><span>f(x)<\/span>&#x200b;&#x200b;&nbsp;<span>er<\/span>&#x200b;&#x200b;&nbsp;<span>konstant\/vandret<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5r a er lig med 1,<\/span>&#x200b;&#x200b;&nbsp;<span>eller n\u00e5r r er lig 0(a = 1 eller r = 0).<\/span><\/p><\/li><\/ul><div data-anchor-type=\"paragraph\" class=\"a15\" style=\"z-index: 100;height: 2.55208in;width: 5.02083in;\"><img 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\" style=\"z-index: 100;width: 5.02083in;height: 2.55208in;width: 5.02083in;\" title=\"\" alt=\"WordMat|1.02|||||-14,399|13,828|||500*1,05^x|x|||-1|500*0,95^x|x|||-1|500*1^x|x|||-1||x|||-1||x|||-1||x|||-1|||||||||||||||||||False|False|1,2|1,2|||True|False|False|True|\"\/><\/div><p class=\"P64\"><span id=\"_Toc384317536\"\/><span id=\"_Toc384317590\"\/><span class=\"T66\">Dette f<\/span><span class=\"T67\">remg\u00e5r af de tre grafer p\u00e5 n\u00e6ste side<\/span><span class=\"T68\">.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P69\">&nbsp;<\/p><p class=\"P70\">&nbsp;<\/p><p class=\"P71\">&nbsp;<\/p><p class=\"P72\">&nbsp;<\/p><p class=\"P73\">&nbsp;<\/p><p class=\"P74\">&nbsp;<\/p><p class=\"P75\">&nbsp;<\/p><h2 class=\"P76\"><span id=\"_Toc384325760\"\/><span>Definitions- og v\u00e6rdim\u00e6ngde<\/span>&#x200b;&#x200b;&nbsp;<\/h2><p class=\"P77\"><span>Definitionsm\u00e6ngden betegner det som x kan v\u00e6re.<\/span>&#x200b;&#x200b;&nbsp;<span>Her kan x v\u00e6re alle reelle tal.<\/span>&#x200b;&#x200b;&nbsp;<span>Definitionsm\u00e6ngden skrives Dm(f).<\/span><\/p><p class=\"P78\"><span>For v\u00e6rdim\u00e6ngden som er det y kan v\u00e6re g\u00e6lder det, at den naturligvis aldrig vil komme under 0, og dermed<\/span>&#x200b;&#x200b;&nbsp;<span>sk\u00e6re<\/span>&#x200b;&#x200b;&nbsp;<span>x-aksen. Dette skyldes at den jo hele tiden aftager med en hvis procentdel af den selv.<\/span>&#x200b;&#x200b;&nbsp;<span>V\u00e6rdim\u00e6ngden betegnes med Vm(f).<\/span>&#x200b;&#x200b;&nbsp;<\/p><h2 class=\"P79\"><span id=\"_Toc384325761\"\/><span>Forskrift for eksponentialfunktion ud fra to punkter<\/span><\/h2><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P80\"><span class=\"T81\">Skal du<\/span><span class=\"T82\">&#x200b;&#x200b;&nbsp;finde en<\/span><span class=\"T83\">&#x200b;&#x200b;&nbsp;forskrift for en eksponentiel funktion ud fra to punkter, g\u00f8res det ved&#x200b;&#x200b;&nbsp;<\/span><span class=\"T84\">f\u00f8rst<\/span><span class=\"T85\">&#x200b;&#x200b;&nbsp;at<\/span><span class=\"T86\">&#x200b;&#x200b;&nbsp;finde a ved hj\u00e6lp af formlen<\/span><span class=\"T87\">:<\/span><span class=\"T88\">&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><span class=\"T89\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:mi>y<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>y<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><mml:mn>2<\/mml:mn><mml:mo>-<\/mml:mo><mml:mi>x<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T90\">.&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P91\"><span class=\"T92\">Herefter finder man s\u00e5 b<\/span><span class=\"T93\">,<\/span><span class=\"T94\">&#x200b;&#x200b;&nbsp;ved<\/span><span class=\"T95\">&#x200b;&#x200b;&nbsp;at s\u00e6tte x og y fra et af punkterne, samt a ind i<\/span><span class=\"T96\">&#x200b;&#x200b;&nbsp;formlen:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T97\">b =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>y<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>a<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T98\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T99\">eller b&#x200b;&#x200b;&nbsp;<\/span><span class=\"T100\">= y<\/span><span class=\"T101\">1<\/span><span class=\"T102\">&#x200b;&#x200b;&nbsp;* a<\/span><span class=\"T103\">-x1<\/span><span class=\"T104\">.<\/span><\/p><p class=\"P105\">&nbsp;<\/p><p class=\"P106\"><span class=\"T107\">Et eksempel er, at vi har to punkter, (<\/span><span class=\"T108\">x<\/span><span class=\"T109\">1<\/span><span class=\"T110\">,y<\/span><span class=\"T111\">1<\/span><span class=\"T112\">)&#x200b;&#x200b;&nbsp;<\/span><span class=\"T113\">som er<\/span><span class=\"T114\">&#x200b;&#x200b;&nbsp;(2,8)<\/span><span class=\"T115\">, og&#x200b;&#x200b;&nbsp;<\/span><span class=\"T116\">(x<\/span><span class=\"T117\">2<\/span><span class=\"T118\">,y<\/span><span class=\"T119\">2<\/span><span class=\"T120\">)&#x200b;&#x200b;&nbsp;<\/span><span class=\"T121\">som er&#x200b;&#x200b;&nbsp;<\/span><span class=\"T122\">(7,48)<\/span><span class=\"T123\">.<\/span><\/p><p class=\"P124\"><span>Fremskrivningsfaktor(a) bliver s\u00e5:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P125\"><span class=\"T126\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:mn>48<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T127\">&#x200b;&#x200b;&nbsp;= 1,4310<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P128\"><span class=\"T129\">B<\/span><span class=\"T130\">egyndelsesv\u00e6rdien(b) findes s\u00e5 ved at s\u00e6tte&#x200b;&#x200b;&nbsp;<\/span><span class=\"T131\">x<\/span><span class=\"T132\">1<\/span><span class=\"T133\">, y<\/span><span class=\"T134\">1<\/span><span class=\"T135\">&#x200b;&#x200b;&nbsp;og a ind i formlen<\/span><span class=\"T136\">\u00a0<\/span><span class=\"T137\">b =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">y<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P138\"><span class=\"T139\">b =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>1,4310<\/mml:mn><mml:mo>^<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T140\">&#x200b;&#x200b;&nbsp;= 3,91<\/span><\/p><p class=\"P141\"><span>Og nu kan vi s\u00e5 lave forskriften som bliver:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P142\"><span class=\"T143\">y = f(x) = 3,91*1,43<\/span><span class=\"T144\">x<\/span><\/p><p class=\"P145\">&nbsp;<\/p><p class=\"P146\"><span>Et andet eksempel er, at vi har de to punkter<\/span>&#x200b;&#x200b;&nbsp;<span>(5,2) og (15,38)<\/span><\/p><p class=\"P147\"><span>Fremskrivningsfaktoren<\/span>&#x200b;&#x200b;&nbsp;<span>bliver s\u00e5:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P148\"><span class=\"T149\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:mn>38<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mn>15<\/mml:mn><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T150\">&#x200b;&#x200b;&nbsp;= 1,3424\u00a0<\/span><\/p><p class=\"P151\"><span>Begyndelsesv\u00e6rdien bliver:<\/span><\/p><p class=\"P152\"><span class=\"T153\">b = 2 * 1,3424<\/span><span class=\"T154\">-5<\/span><span class=\"T155\">&#x200b;&#x200b;&nbsp;= 0,46<\/span><\/p><p class=\"P156\"><span>Og nu kan vi s\u00e5 lave forskriften:<\/span><\/p><p class=\"P157\"><span class=\"T158\">y = f(x) = 0,46 * 1,3424<\/span><span class=\"T159\">x<\/span><\/p><h2 class=\"P160\"><span id=\"_Toc384325762\"\/><span>Tiln\u00e6rmelsesvis eksponentiel udvikling<\/span><\/h2><p class=\"P161\"><span class=\"T162\">En tiln\u00e6rmelsesvis eksponentiel udvikling er, hvis vi har nogle punkter, som l<\/span><span class=\"T163\">igger n\u00e6sten p\u00e5 grafen for en eksponentiel funktion<\/span><span class=\"T164\">. Dette afg\u00f8res s\u00e5 ud fra&#x200b;&#x200b;&nbsp;<\/span><span class=\"T165\">forklaringsgraden R<\/span><span class=\"T166\">2<\/span><span class=\"T167\">.<\/span><span class=\"T168\">&#x200b;&#x200b;&nbsp;Er R<\/span><span class=\"T169\">2<\/span><span class=\"T170\">&#x200b;&#x200b;&nbsp;t\u00e6t p\u00e5 1,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T171\">betegnes&#x200b;&#x200b;&nbsp;<\/span><span class=\"T172\">grafen&#x200b;&#x200b;&nbsp;<\/span><span class=\"T173\">som v\u00e6rende&#x200b;&#x200b;&nbsp;<\/span><span class=\"T174\">tiln\u00e6rmelsesvis&#x200b;&#x200b;&nbsp;<\/span><span class=\"T175\">eksponentiel.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P176\"><span class=\"T177\">Et eksempel er, at vi har punkterne (3,10), (6,13), (10,26<\/span><span class=\"T178\">) og (13,34<\/span><span class=\"T179\">).&#x200b;&#x200b;&nbsp;<\/span><span class=\"T180\">Her bliver R<\/span><span class=\"T181\">2<\/span><span class=\"T182\">&#x200b;&#x200b;&nbsp;s\u00e5 0,9911, hvilket betyder at R<\/span><span class=\"T183\">2<\/span><span class=\"T184\">&#x200b;&#x200b;&nbsp;er meget t\u00e6t p\u00e5 1, og dermed er udviklingen tiln\u00e6rmelsesvis eksponentiel.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P185\">&nbsp;<\/p><p class=\"P186\"><span>Denne graf ses herunder.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P187\">&nbsp;<\/p><p class=\"P188\"><span class=\"T189\"><span><div id=\"chart-6a48707fcb14e877901471\" style=\"z-index: 100;height: 3.39583in;width: 6.71875in;\"> <\/div><\/span><\/span><\/p><p class=\"P190\">&nbsp;<\/p><h2 class=\"P191\"><span id=\"_Toc384325763\"\/><span>Eksponentielle ligninger<\/span><\/h2><p class=\"P192\"><span class=\"T193\">Med en forskrift for en eksponentiel udvikling er det muligt at beregne en vilk\u00e5rlig funktionsv\u00e6rdi(y).&#x200b;&#x200b;&nbsp;<\/span><span class=\"T194\">Ved l\u00f8sning af eksponentielle ligninger&#x200b;&#x200b;&nbsp;<\/span><span class=\"T195\">g\u00e5r man s\u00e5 den anden vej, og finder&#x200b;&#x200b;&nbsp;<\/span><span class=\"T196\">x(terminer). Det vil&#x200b;&#x200b;&nbsp;<\/span><span class=\"T197\">sige&#x200b;&#x200b;&nbsp;<\/span><span class=\"T198\">at man&#x200b;&#x200b;&nbsp;<\/span><span class=\"T199\">i en funktion y = f(x) = b * a<\/span><span class=\"T200\">x<\/span><span class=\"T201\">&#x200b;&#x200b;&nbsp;kender a, b og y, og dermed skal finde x. Til at finde x<\/span><span class=\"T202\">, og dermed l\u00f8se en eksponentiel ligning,<\/span><span class=\"T203\">&#x200b;&#x200b;&nbsp;benyttes<\/span><span class=\"T204\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T205\">logaritmereglerne.<\/span><\/p><p class=\"P206\"><span>N\u00e5r man snakker om logaritmer findes der to forskellige, titalslogaritmen og den naturlige logaritme.<\/span>&#x200b;&#x200b;&nbsp;<span>P\u00e5 lommeregneren findes titalslogaritmen som LOG, mens den naturlige hedder ln.<\/span>&#x200b;&#x200b;&nbsp;<span>Til l\u00f8sning af eksponentielle ligninger kan de begge benyttes.<\/span><\/p><p class=\"P207\"><span>Ved logaritmer g\u00e6lder f\u00f8lgende regler:<\/span><\/p><p class=\"P208\">&nbsp;<\/p><ul xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"LFO9\" style=\"counter-reset: ulLFO9_1 3;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-family: Calibri;font-size: 12pt;language: fr;country: FR;mleft: 0.5in !important;text-align: justify !important;vertical-align: middle !important;margin-bottom: 0in !important;line-height: 1 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P209\"><span>LOG(x*y) = LOG(x) + LOG(y)<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;hyphenate: false;hyphenate: false;mleft: 0.5in !important;text-align: justify !important;vertical-align: middle !important;margin-bottom: 0in !important;line-height: 1 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P210\"><span class=\"T211\">LOG(<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T212\">) = LOG(x) - LOG(y)<\/span><\/p><\/li><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;hyphenate: false;hyphenate: false;mleft: 0.5in !important;text-align: justify !important;vertical-align: middle !important;margin-bottom: 0in !important;line-height: 1 !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P213\"><span class=\"T214\">LOG(a<\/span><span class=\"T215\">x<\/span><span class=\"T216\">) = x * LOG(a)<\/span><\/p><\/li><\/ul><p class=\"P217\">&nbsp;<\/p><p class=\"P218\"><span class=\"T219\">Med udgangspunkt i disse regler kan man s\u00e5 finde l\u00f8sningen til en eksponentiel udvikling<\/span><span class=\"T220\">. Et eksempel p\u00e5 det<\/span><span class=\"T221\">&#x200b;&#x200b;&nbsp;er, hvis vi har ligningen 2 *1,8<\/span><span class=\"T222\">x<\/span><span class=\"T223\">&#x200b;&#x200b;&nbsp;= 30. Fremgangsm\u00e5den bliver s\u00e5 s\u00e5ledes:<\/span><\/p><p class=\"P224\">&nbsp;<\/p><p class=\"P225\"><span class=\"T226\">2 * 1,8<\/span><span class=\"T227\">x<\/span><span class=\"T228\">&#x200b;&#x200b;&nbsp;= 30<\/span><\/p><p class=\"P229\"><span>Vi dividerer med to p\u00e5 begge sider<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P230\"><span class=\"T231\">1,8<\/span><span class=\"T232\">x<\/span><span class=\"T233\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>30<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T234\">&#x200b;&#x200b;&nbsp;= 15&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P235\"><span class=\"T236\">Vi benytter LOG<\/span><span class=\"T237\">(ln kunne ogs\u00e5 benyttes)<\/span><\/p><p class=\"P238\"><span class=\"T239\">LOG(1,8<\/span><span class=\"T240\">x<\/span><span class=\"T241\">) = LOG(15)<\/span><\/p><p class=\"P242\"><span class=\"T243\">Reglen om at&#x200b;&#x200b;&nbsp;<\/span><span class=\"T244\">om LOG<\/span><span class=\"T245\">(a<\/span><span class=\"T246\">x<\/span><span class=\"T247\">) = x * LOG<\/span><span class=\"T248\">(a) benyttes<\/span><\/p><p class=\"P249\"><span>X * LOG(1,8) = LOG(15)<\/span><\/p><p class=\"P250\"><span>Vi dividerer med LOG(1,8) p\u00e5 begge sider<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P251\"><span class=\"T252\">X =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>15<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">L<\/mml:mi><mml:mi mathvariant=\"normal\">O<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>1,8<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T253\">&#x200b;&#x200b;&nbsp;= 4,6072 &#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P254\">&nbsp;<\/p><p class=\"P255\"><span class=\"T256\">Resultatet kan s\u00e5 tjekkes ved at s\u00e6tte 4,6072 ind p\u00e5 x plads i funktionen f(x) = 2 * 1,8<\/span><span class=\"T257\">x<\/span><span class=\"T258\">. Og res<\/span><span class=\"T259\">ultatet skulle s\u00e5 gerne give 30.<\/span><\/p><p class=\"P260\"><span class=\"T261\">Et andet eksempel, hvor jeg benytter ln i stedet for LOG kunne v\u00e6re, at vi har en ligning der hedder 15 * 0,7<\/span><span class=\"T262\">x<\/span><span class=\"T263\">&#x200b;&#x200b;&nbsp;= 1.<\/span><\/p><p class=\"P264\">&nbsp;<\/p><p class=\"P265\"><span class=\"T266\">15*0,7<\/span><span class=\"T267\">x<\/span><span class=\"T268\">&#x200b;&#x200b;&nbsp;= 1<\/span><\/p><p class=\"P269\"><span>Der divideres med 15 p\u00e5 begge sider<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P270\"><span class=\"T271\">0,7<\/span><span class=\"T272\">x<\/span><span class=\"T273\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>15<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T274\">&#x200b;&#x200b;&nbsp;= 0,0667&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P275\"><span>ln<\/span>&#x200b;&#x200b;&nbsp;<span>benyttes<\/span><\/p><p class=\"P276\"><span class=\"T277\">ln<\/span><span class=\"T278\">(0,7<\/span><span class=\"T279\">x<\/span><span class=\"T280\">) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T281\">ln<\/span><span class=\"T282\">(0,0667)<\/span><\/p><p class=\"P283\"><span class=\"T284\">Reglen om at&#x200b;&#x200b;&nbsp;<\/span><span class=\"T285\">om ln<\/span><span class=\"T286\">(a<\/span><span class=\"T287\">x<\/span><span class=\"T288\">) = x * ln(a) benyttes<\/span><\/p><p class=\"P289\"><span>X<\/span>&#x200b;&#x200b;&nbsp;<span>* ln(0,7) = ln(0,0667)<\/span><\/p><p class=\"P290\"><span>Der divideres med ln(0,7) p\u00e5 begge sider<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P291\"><span class=\"T292\">X =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>l<\/mml:mi><mml:mi>n<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>0,0667<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi>l<\/mml:mi><mml:mi>n<\/mml:mi><mml:mo>(<\/mml:mo><mml:mn>0,7<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T293\">&#x200b;&#x200b;&nbsp;= 7,5911<\/span><\/p><p class=\"P294\">&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P295\"><span class=\"T296\">P\u00e5 baggrund af denne metode kan vi lave en formel som kommer til at hedde x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>y<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T297\">, som s\u00e5 kan benyttes i stedet for den lange fremgangsmetode.<\/span><span class=\"T298\">&#x200b;&#x200b;&nbsp;LOG kan naturligvis benyttes i stedet for ln.<\/span><\/p><p class=\"P299\">&nbsp;<\/p><h2 class=\"P300\"><span id=\"_Toc384325764\"\/><span>Sk\u00e6ringspunktet mellem to eksponentialfunktioner<\/span><\/h2><p class=\"P301\"><span>En anden form for eksponentiel ligning er, hvis vi skal finde sk\u00e6ringspunktet mellem graferne for to eksponentielle udviklinger.<\/span>&#x200b;&#x200b;&nbsp;<span>Til dette findes der ligeledes en formel:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P302\"><span class=\"T303\">b<\/span><span class=\"T304\">1<\/span><span class=\"T305\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T306\">* a<\/span><span class=\"T307\">1<\/span><span class=\"T308\">x<\/span><span class=\"T309\">&#x200b;&#x200b;&nbsp;= b<\/span><span class=\"T310\">2<\/span><span class=\"T311\">&#x200b;&#x200b;&nbsp;* a<\/span><span class=\"T312\">2<\/span><span class=\"T313\">x<\/span><span class=\"T314\">&#x200b;&#x200b;&nbsp;&lt;=&gt; x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>l<\/mml:mi><mml:mi>n<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>b<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>l<\/mml:mi><mml:mi>n<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mi>a<\/mml:mi><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>a<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P315\"><span>Her s\u00e6ttes tallene fra de to eksponentielle<\/span>&#x200b;&#x200b;&nbsp;<span>funktioner<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5 ind. Og her<\/span>&#x200b;&#x200b;&nbsp;<span>kan man s\u00e5 igen benytte LOG i stedet for ln.<\/span>&#x200b;&#x200b;&nbsp;<span>Skal man s\u00e5 i stedet l\u00f8se det som en ligning, g\u00f8res det s\u00e5ledes:<\/span><\/p><p class=\"P316\"><span class=\"T317\">Vi har de to funktioner:<\/span><span class=\"T318\">\u00a0<\/span><\/p><p class=\"P319\"><span class=\"T320\">140*1,02<\/span><span class=\"T321\">x&#x200b;&#x200b;&nbsp;<\/span><span class=\"T322\">= 160*1,015<\/span><span class=\"T323\">x<\/span><\/p><p class=\"P324\"><span>De v\u00e6rdier der st\u00e5r opl\u00f8ftet i x samles p\u00e5 den ene side, og de andre p\u00e5 den anden.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P325\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mn>1,02<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mn>1,015<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfrac><mml:mi>\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T326\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>160<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>140<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T327\">\u00a0<\/span><\/p><p class=\"P328\"><span>Der udregnes.<\/span><\/p><p class=\"P329\"><span class=\"T330\">1,0049<\/span><span class=\"T331\">x<\/span><span class=\"T332\">&#x200b;&#x200b;&nbsp;= 1,1429<\/span><\/p><p class=\"P333\"><span class=\"T334\">Tallene s\u00e6ttes i ln, og reglen om ln<\/span><span class=\"T335\">(a<\/span><span class=\"T336\">x<\/span><span class=\"T337\">) = x * ln(a) benyttes<\/span><\/p><p class=\"P338\"><span>X * ln(1,0049) = ln(1,1429)s<\/span><\/p><p class=\"P339\"><span>Der divideres med ln(1,0049), og x er isoleret<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P340\"><span class=\"T341\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1,1429<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1,0049<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T342\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T343\">27,17&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P344\">&nbsp;<\/p><h2 class=\"P345\"><span id=\"_Toc384325765\"\/><span>Fordoblingskonstanten<\/span><\/h2><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P346\"><span class=\"T347\">Fordoblingskonstanten er det x stiger n\u00e5r y = f(x) fordobles.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T348\">Man kan sige at det er fordoblingstiden, og dermed tiden det tager at fordoble<\/span><span class=\"T349\">&#x200b;&#x200b;&nbsp;begyndelsesv\u00e6rdien(b).&#x200b;&#x200b;&nbsp;<\/span><span class=\"T350\">Der tales naturligvis kun om fordoblingstid, n\u00e5r grafen er voksende. Det vil sige, at a skal v\u00e6re st\u00f8rre end 1(a &gt; 1), eller r skal v\u00e6re st\u00f8rre end nul(r &gt; 0). Fordoblingskon<\/span><span class=\"T351\">stanten beregnes med formlen:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T352\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P353\"><span class=\"T354\">Et eksempel er, at der s\u00e6ttes 500 kr. ind p\u00e5 en konto, med en rente p\u00e5 5% p.a. Fordoblings<\/span><span class=\"T355\">-<\/span><span class=\"T356\">konstanten bliver s\u00e5:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T357\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>1,05<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><mml:mo>=<\/mml:mo><mml:mn>14,2<\/mml:mn><mml:mo>\u2248<\/mml:mo><mml:mn>15<\/mml:mn><\/mml:math><\/span><\/span><span class=\"T358\">. Hvilket vil sige, at det tager 15&#x200b;&#x200b;&nbsp;<\/span><span class=\"T359\">\u00e5<\/span><span class=\"T360\">r, f<\/span><span class=\"T361\">\u00f8<\/span><span class=\"T362\">r de 500 kr. er blevet til 1000 kr.<\/span><\/p><p class=\"P363\"><span class=\"T364\"><span><img 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\" style=\"z-index: 100;width: 4.11458in;height: 2.99954in;width: 4.11458in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P365\">&nbsp;<\/p><h3 class=\"P366\"><span id=\"_Toc384325766\"\/><span>Bevis for fordoblingskonstanten<\/span><\/h3><p class=\"P367\">&nbsp;<\/p><p class=\"P368\"><span>f(x) = 2b &lt;=&gt;<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P369\"><span>\u00a0<\/span><\/p><p class=\"P370\"><span class=\"T371\">b * a<\/span><span class=\"T372\">x<\/span><span class=\"T373\">&#x200b;&#x200b;&nbsp;= 2b &lt;=&gt;<\/span><\/p><p class=\"P374\"><span>\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P375\"><span class=\"T376\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi>b<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T377\">&#x200b;&#x200b;&nbsp;&lt;=&gt;<\/span><\/p><p class=\"P378\"><span>\u00a0<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P379\"><span class=\"T380\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>2<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">l<\/mml:mi><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>\u2061<\/mml:mo><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><\/p><p class=\"P381\"><span>\u00a0<\/span><\/p><p class=\"P382\"><span>Af denne formel fremg\u00e5r det s\u00e5, at det er lige meget hvad begyndelsesv\u00e6rdien er, det tager lige lang tid at fordoble det, hvis a er den samme.<\/span>&#x200b;&#x200b;&nbsp;<span>Fx vil det tage lige s\u00e5 lang tid at fordoble 10 kr. til 20 kr. som det vil tage at fordoble 10 mio.<\/span>&#x200b;&#x200b;&nbsp;<span>kr.<\/span>&#x200b;&#x200b;&nbsp;<span>til 20 mio.<\/span>&#x200b;&#x200b;&nbsp;<span>kr.<\/span>&#x200b;&#x200b;&nbsp;<span>hvis b\u00e5de de 10 kr. og de 10 mio. kr. st\u00e5r p\u00e5 en konto med 3% i rente.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P383\"><span>\u00a0<\/span><\/p><p class=\"P384\"><span id=\"_Toc384325767\"\/><span class=\"T385\">Halveringskonstant<\/span><\/p><p class=\"P386\"><span>Halveringskonstanten er<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>det x stiger, n\u00e5r y = f(x) halveres. Det<\/span>&#x200b;&#x200b;&nbsp;<span>vil sige det er halveringstiden.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P387\"><span class=\"T388\">Halveringskonstanten beregnes med formlen<\/span><span class=\"T389\">:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T390\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P391\"><span class=\"T392\">Et ek<\/span><span class=\"T393\">sempel<\/span><span class=\"T394\">&#x200b;&#x200b;&nbsp;p\u00e5 bruge<\/span><span class=\"T395\">n<\/span><span class=\"T396\">&#x200b;&#x200b;&nbsp;af halveringskonstanten er, at&#x200b;&#x200b;&nbsp;<\/span><span class=\"T397\">vi har&#x200b;&#x200b;&nbsp;<\/span><span class=\"T398\">en b der hedder&#x200b;&#x200b;&nbsp;<\/span><span class=\"T399\">5<\/span><span class=\"T400\">0<\/span><span class=\"T401\">,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T402\">og en a der hedder 0,8<\/span><span class=\"T403\">. Den ek<\/span><span class=\"T404\">sponentiel<\/span><span class=\"T405\">le<\/span><span class=\"T406\">&#x200b;&#x200b;&nbsp;funktion&#x200b;&#x200b;&nbsp;<\/span><span class=\"T407\">kommer s\u00e5 til at hedde:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T408\">f(x) = 50<\/span><span class=\"T409\">&#x200b;&#x200b;&nbsp;* 0,8<\/span><span class=\"T410\">x<\/span><span class=\"T411\">. Her bliver halveringskonstanten s\u00e5:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T412\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mn>0,8<\/mml:mn><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfrac><mml:mi>\u00a0<\/mml:mi><mml:mi>\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T413\">&#x200b;&#x200b;&nbsp;= 3,11, dvs.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T414\">at det tager 3,11 \u00e5r, f\u00f8r de 50 er halveret til 25.&#x200b;&#x200b;&nbsp;<\/span><\/p><div data-anchor-type=\"paragraph\" class=\"a40\" style=\"z-index: 100;height: 3.29931in;width: 4.61458in;\"><img 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n5pBQUC6VW1A033JBsaZlIGNqimU\/s4DwrC9MGyqjogccGYvBlCbeDbHtZDCOAjv\/TTz8la\/GCOKSEwBFHHNFib\/YShrZgVVH2pg2cZ5WrsQE38tqYxrQWIRly5cqVyZrIGzK7ZTGMAGIMW0rH53v27t3bl7NpieJQwtAWnj4pvCzyh\/Mc5pwV+YJlVok+NlCjUNn2dqjAdSTgSm5JT5+rVq1ye++9t9ttt91ahKUzjYShLXIl26Ep8eyQK9kOPGoS4XbIlRwJsSefFANxePTRR\/uq9J999lmyNX4kDG0hGUJFl21AhCv5xAaEitz2NnCvianOb2tHySeRgMWwpU6vdPPNN\/uM5ZYiDiUMbcGCJYuhDbIY2oHbXg88NmAxVDynHYSjyGIYAcQYtuQYittuu82Lw\/Qk57EiYWgLAzpuN5E\/iJVan7\/XCkShMmVtIMaQ2nrCBvIIJAwjgCeiH3\/8MVlrmTz77LO+nM0pp5zis5piRcLQFtxtykq2gZg33UBt+OWXX5ToYwRZyS0tlr0lg9teruQIaAl1DCvh22+\/dUcddZTbYIMNfGmbGJEwtAXLSqnJ9UW24LKXe9MGxhE98NigOoa24OWRxTAC6PitKbiWItjrrbdelHMsSxjaggVL2Zs2IApV1sMGhIoshjZgMWzpHrWWBImwshhGADGGrS3D7dZbb\/Wu5VGjRiVb4kDC0BYs4ZxzkT\/Ecqqshw087CjRxwaqdmj6QTt4uJTFMAIQhq2x40+bNs0npdx1113JlrWPhKEtxGKRLSvyh74tl5sNuJE1\/aANCENZZ+3ASCVhGAGtzZWcBncy4nDYsGH+B762kTC0hadPuZJtwJWsOoY2IMBlxbIBV3LMCY2tjRUrVsiVHAMtbeaTpkKNwx49ergDDjjAlx5Ym0gY2qKZT+zgPMuKZYNmPrEDw4lCJOzQzCeRQMdv7en4DKS77LKL69+\/\/1rNUpUwtAWrirI3beA8azYOG4gvVM1IG7AYMn+vsAHrrCyGEYAwpKhkawdx2Lt3b7ftttu6r7\/+Otlqi4ShLcQGUXhZ5A\/CULFYNmCZlRXLBrxMCpGwAyOVhGEEtHZXchp+5JdddpnPWKYotjUShrbIlWyHXMl2yJVsh1zJtsiVHAkkZVA7qJZ45JFHfFIKIg1hbIWEoS0kn6josg2IQllWbFDyiR2rVq1S8okhy5cvl8UwBhBGtRiv8sUXX\/iklAMPPNBsKi8JQ1uIxVK5Ghs4z5QHEvlDeIQeeGzAYlgrHrUY4IFHFsMIoI5hrc5YgDtm4MCBrmPHjn5KvbyRMLSFAR23m8gfzrNuoDYgClUz0gbCjzQHuB14HSQMI4Anolo3lY8YMcKtv\/76buHChcmWfJAwtEVT4tmBWNEN1AYss0r0sUFT4tmiKfEiAVeygmudu\/zyy127du3c+PHjky3ZI2FoC2JlbZYnqiWUfGIH44geeGzAcCLrrB14HWQxjABZDFfz1FNP+aSUG264IZenFglDW2QxtAMRXqshKdbIYmiHLIa2yGIYCcQYygW0GuZY7t69uxswYEDmA4KEoS1YwjnnIn+IMZTnwQYedpToYwNVO1S43Q4eLmUxjACEoZ4+G0I269FHH+06dOjglixZkmytHglDW7h5KivZBvq2xIoNZCXLbW8DwlCzzNiBCJcwjABcybVWx7BSLr74YrfBBhv4+ZazQMLQFp4+5Uq2AVey6hjaoDqGduBKVqiVHapjGAlKPmmcK664wielnHPOOVUXw5YwtEUzn9ih5BM7NPOJHUo+sUXJJ5FAx9ck4Y3D3Mrbbbed22WXXdwPP\/yQbG06Eoa2YFXRXMk2MFeyrFg2EOqimpE2UMdw5cqVyZrIG+L6ZTGMAAnDykDUYTXs1KmTW7FiRbK1aUgY2kLsrIShDRKGdmCZlTC0AWGoEAk7fvrpJwnDGMA9qkGmci688ELXvn17N2HChGRL5UgY2iJXsh1yJdshV7IdGE4UamUHiT5yJUcAWVdKPmka9913n59G73e\/+12ypTIkDG1R8okdSj6xQ8kndqxatUrJJ4Yo+SQSVK6meZBWT73DE044wbsbKkHC0BaVq7GD86xyNTYQHoEQF\/mjcjW28MAji2EEqMB182HA2GGHHXxiSiXFsCUMbSFEgnMu8gf3pkJSbFCBaztU4NoWvA4ShhFADIVM5c2HgePMM8\/0SSmvvPJKsrU4Eoa28MBDUoTIH8SKHjBtQBTKy2MDdQxJiBA2aEq8SFAdwzq++uord\/rpp\/sZT4455hj\/l2XRokXJO+p44YUX3PHHH+\/OOOMMP31e4IEHHvDzLI8YMSLZsiYShrbgbvvtt9+SNZEnSj6xg3FEsbM2qI6hLXgdZDGMAFkM67j55pu9sLv22mvddddd5\/9ec801DVzEV199tX\/P+eef70488UT\/+rnnnkv2Ojdr1izXuXNnLxyLPdFLGNqCBUs3UBsQ4ST7iPxBqMhiaAMWw6znzBelkcUwEhRjWMeRRx7pBg0alKytyYIFC7wQfPXVV5Mtzl111VVuo402apDgwLncf\/\/93RZbbLGGtVHC0BYs4ZxzkT+KMbRDMYZ2KMbQFsUYRoKykp0XamQY4w4uxY033ug22WSTBqKOJ0nE4vvvv59sWQ3FsJlKb+LEicmWupunhKEdykq2Q1nJdpCVLLe9DcpKtkVZyZFAx6\/1OoZYOrD8XXTRRe6kk05ye+21l58jOX2jwz3cr1+\/ZK0O4qo22GADN2rUqGRLQ3Azr7\/++l4kAh3+kksukTA0QnUM7VAdQztUx9AO1TG0RXUMI0HJJ87NmDHDW\/522mknH2t46623us0228zttttu9fXC+vfv74444gj\/OoDA433EJJaCjt6tWzcvKnmN+1nC0AbNfGKHkk\/s0Mwndij5xBbNfBIJCMNaf9InLvCpp57yk9MHiCtp06aNF4qAsCNbuRCEIUkqjcFNM5S0Oe6445KtIm944JEr2QbOs2IMbaAEk9z2NhBqpRhDOwjPanUWQ8z7uK9++OEHf1PCBM06MXwrVqzwapiaSCwMorhwaYMwSbdBqIU2vO\/nn38u2obX6ePw+aHNypUrfRv2N3Yctn\/zzTe+LW24MOnj8KMIx2EfbcJx0m3CcXh\/aMPnhOOk27Beqk04Dp9brA2fyf\/A+\/l+pdpw\/mjD8dlPG\/7\/wjacW0qaIJBDZiVt2IYY7Nmzp7eEHHvssW733Xf3n8lxeIr88ssv3YYbbuhdyYXHCdcPa+RHH33k4xBPO+00P8\/y8OHD3dSpU\/329957z3333Xf+e6WvOdeO78br8P+k+xZ\/Q98K5zrdt4q14TuGNuE4pfpWpW3YVqpNuBahTbh+pY5T2E8K+xZtuO604XMaa4PInz59ulu8eHH9OeJz2FfYJvST8N2a0h\/DdyvWH\/mfix2H\/fwPoT+yn2NzTjkOr0MbzmNow2eHNrwObQr7SanjFLYJ3y30k3SbcM0bOw7v4b2IFMo9ffHFF759+H94f7qfpNvwPo4XjlOqDd+7WN8KbfgfQhv2830raVOsb4U2HJs2hf2ksA3XnDa8Zhv7SrXhM0Obwr5V2Ib1wuOENpzr+fPnu7lz5\/rX5dqwn2Ozr1wfTvcTtnFO0\/2R80ebdD9Jt+F9oZ+E44RrXkmb9HEK27CebsP7i7Updc1Dm6b0Ld63dOlS9+mnn\/pzzbEracM5K9cfC695qb4V2rCvVBuOGdqEflKqTeE1T7fhc9hXrp8UO065NulrXqwN549tvK\/VCUOeLjA9E7eH0OAv62znddjPEvazLexfG22Yzo0LVkmbsD9sq6QNf5vaJuzPok3Y31ib2bNn+yQRTNihDRx00EE+w5j3Xnnlla5r166+0\/IetvEDD5nKpY6DtZDMWIQmbSlzgzjENc2PhGNyDUp9t7CtcH\/hNv6GNsX2h23pz0wfp9I2\/G0pbRhssK6k24T9hW3Sn8m2StqwNLVN2N+S2oT9LKU+k4cqBvmwP32cUm34y\/70tqa24W8sbcL+vNvw0MPNNb2\/XJuwP2yrpk3Yn0WbsJ8lvb+wTfoz08eptk16f7E2jN+IlUrb8Lepx6mkTdjf2tsgTuVKjgAuBk8ltczdd9\/tBd6yZcuSLXXWX7Y99NBDfn3KlCl+\/S9\/+Ytfhz\/+8Y9+GzfESsDdRjwiT5OHHXaY23rrrd3XX3+d7BVZw4CuWCwbOM9YTkT+YL3ioUfkj+oY2qLkk0hAqdf6IMNNjcQTLIJPPPGE+9Of\/uRf77333vUzZ9BZST6hZA3777nnHi8Kb7nlFr+\/ErAckpUcoFA2n8HniezhBqoYQxvo25xvkT8qV2MH1qxKH\/xF9WCQkcUwAhCGWFZqHcTxhRde6HbccUcvEpnartDaxM1v2LBh\/j1kLN97773JnsqgfWEdwwkTJnjX8rnnnuvjNkR24G7jnIv8UYFrOxiXJMJtQBhqXLYDr4OEYQTgSiZWTlROc8vNFBOGgAu7T58+rkOHDu7DDz9MtopqkSvZDmIM9YBpg1zJdsiVbAtx93IlRwCBoFhWRP6UEoaBBx980LuW33zzzWSLqAbESggFEPlCkH6o+SnyhXGEpCqRPxhOVMfQDiWfRIIshnaUE4bw6KOPurZt2\/q5m2Xtqg4sWLqB2kBflcXQBlkM7cBiSLKgsEEWw0ggxlDZhDZUIgyBzKwDDjjAxzqmi26LpsHTJ7FvIn8UY2gHlllZsWyglJgeeOyg\/qEshhGAK1lZVzZUKgyB60IWdOfOnd24ceOSraIpIKqVlWwD51kJETaQlSy3vQ2htp6wQVnJkUDWFeZbkT9NEYaAOHzkkUfcuuuu6wtsi6aBJVw3UBson8LTvsgfrIXcQEX+rFq1SqFWhqiOYSQgPvREZENThWGAIthMvXfKKadokGoCiBWSIkT+cJ5VW88G3PaKP7YBi6GSM+3AeymLYQTQ8ZmzUORPc4UhLFq0yA0YMMBtsMEG7vXXX0+2isYgQB+3m8gfknyUEGEDAlxixQZiDGUJt4NEH1kMIwBhyOTiIn+qEYaBMWPG+Kzlq6++2mfMidLgbpMwtAFhKPemDcTOystjA8JQhhM7qBkpYRgBciXbkYUwhPnz57ttttnG7bXXXm7p0qXJVlGIXMl2yJVsh1zJdsiVbItcyZGg5BM7shKGwI148ODBbr311nO33357slWkIflEN1AbSPKRy80GJZ\/YgVdGcd12KPkkEqhjqNggG7IUhoEpU6a4jh07ukMPPVQWmwIon6JyNTbQt1Wuxgbc9vqt24DhROXc7GBealkMIwBhqEnCbchDGALCfr\/99vM1D+fOnZtsFbiAOOcif3BvyuVmA1ZwiXAbEIayztqBl0fCMAKIoZCp3Ia8hGFg5MiRvuYhcy6Luinx5Eq2AVeyZlCyAVeyvDw24EomIULYoCnxIoHkEz3p25C3MISXXnrJbbLJJm7XXXd1CxYsSLbWJoiV3377LVkTeULMq4qJ28A4ojnAbcBwoukH7SARVhbDCKDj64nIBgthCAxkl156qWvXrp378ssvk621ByESuoHagGVWc8ragBtZFkMbsBhSW0\/Y8MMPP8hiGAPEGMoFZIOVMAxce+21vuYhf6nHVWvw9Ensm8gf6kUqSN8GLLOyYtnAuKkHHjuoGSmLYQQoK9kOa2EIf\/7zn13Pnj398tprryVbawNlJdvBeVZChA2IcLntbVBWsi0k+kgYRoDqGNqxNoQhEP915513unXWWaemElNUx9AOhIrqGNqgOoZ2rFq1SsmZhqiOYSRo5hM71pYwDHz44YdeHA4dOrQmEo4084kdWAxVW88GzXxih2Y+sUUzn0QCHV9zQdqwtoUhzJo1y+2zzz6+5uGMGTOSra0TQiQ0V7INnGeFpNiAAJdYsYEYQ1nC7SDRRxbDCEAYKuvKhhiEYeCaa65xbdq0ccOGDWu1FmPcbRKGNpD9LfemDb\/++qu8PEYgDGU4sYMKKRKGEaA6hnbEJAwB62G\/fv289ZDYjtaG6hjagctermQb5Eq2Q3UMbVEdw0ig41M7SORPbMIwcMEFF7iNNtrIffTRR8mW1oGST+xQ8okdSj6xgzqGSj6xY8WKFbIYxgDlajTI2BCrMASm02vfvr0bNGhQq3lQ4AaqcjU20LdlWbEBt72sszZQtUOxs3YwKYEshhGAMORiiPyJWRgCZYsOOeQQt8EGG7inn3462dpyQahwzkX+4N5USIoNWMGJMxT5gzCU4cQOiolLGEaAXMl2xC4MA5MmTaq3HmLab6kwyMiVbAOuZM2gZINcyXbgStaUsXbIlRwJSj6xo6UIQ+AHeuihh7r111\/fvfjii8nWloWST+wg+YTzLfKHcURzgNug5BNblHwSCXR8PRHZ0JKEYeCZZ57xRbFbomuZEAndQG3AMqs5ZW1g6kFN02YDFkOVc7MD76UshhFAjKFcQDa0RGEIwbXcv3\/\/FnXz5+mT2DeRP9SLlFixAcusrFg2UMdQDzx2UDNSFsMIwJWsAd2GlioMAevb4MGDXadOndzEiROTrXFDgL6mxLOB7G8sWSJ\/EOFy29uAR03FxO0gdlbCMALIuiIbVeRPSxaGgbFjx7oOHTq4vn37Rv8kjSVcN1AbKJ+iOoY2EBOu5BMbVq1apTqGhjDRglzJEYDFUE9ENrQGYQjcmI4\/\/njXsWPHqK2HiBVZDG3AYqgSKjZo5hM7sBgqOdMOvJeyGEYAMYZ60rehtQjDANZDXMv77LOP++abb5Kt8cAgoxhDG3BvqhCwDTzwSKzYQIyhYvDt+Pnnn2UxjAGeiJR1ZUNrE4ZAXNmZZ57p2rVr56688spkaxzgblNWsg1YsFQo3wYss4oLt4GsZMSKsAG3vYRhBKiOoR2tURgGZs+e7Tp37uxjD2OJf1IdQztw2WuaNhsYR+RKtkF1DG1RHcNIoONr5hMbWrMwBCwZhx9+uHcvT5s2Ldm69sAFpBuoDYhwudxs0MwndmAxVPKJHZr5JBI0V7IdrV0YBkaPHu2LYt91113JlrUDN1DOucgfzrMsKzYQHqFEHxuo2qHYWTuodCGLYQRIGNpRK8IQ3nzzTe9a3mmnndzMmTOTrbYQIiFhaANJPgpJsQEruIShDQhDWWftwOsgYRgBciXbUUvCELiBXXPNNW7dddd1d955p7mLQK5kO+RKtkOuZDtwJWvKWDvkSo4EJZ\/YUWvCMPD222+7Ll26uB49evgkFSuUfGKHkk\/sYBxRtr0NSj6xRcknkUDH1xORDbUqDIEb2bXXXuvatm3rrYf0u7whREI3UBuwzCokxQZKRKlcjQ0qV2ML3ktZDCNABa7tqGVhGMB6uMUWW7jtttvOTZkyJdmaDypwbQcFriVWbMASLiuWDSpwbcvKlSslDGMAV7IGdBskDOtArF1\/\/fVugw02cIMGDfLTqeUBAfqaEs8GTYlnB78fxKHIHzwbmjLWDjLA5UqOALKuvv\/++2RN5ImEYUOYML1Xr15u6623dh999FGyNTt40tcN1AbiC+V5sIGYcLntbVi1apXqGBrCPUEWwwiQxdAOCcM1wVVzww03uPbt27vBgwdnmiwii6EdshjagdteDzw2yGJoiyyGkaAYQzskDEuD1Xr33Xd3W221VWbWQ8UY2qEYQzsUY2iHYgxtIdFHFsMI4Inop59+StZEnkgYNg5hDWnrYbXWPmUl26GsZDuwzEqE26CsZFtw20sYRoDqGNohYVgZDA5YD7fcckv34YcfJlubDpYV1TG0QXUM7WAc0QOPDRhOZJ21Q3UMI4GOr5lPbJAwrBxCHG688UbXoUMH17dvXzd58uRkT+Vo5hM7EOFyudmgmU\/swGKo5BM7NPNJJHAD1iBjg4Rh08GNM3ToUO9ePvHEE5vkruQGmlcpHNEQ+rYsKzZgLVSijw2Et5AQIWz461\/\/KothDCAMFRu0Ju+++65btGhRsrYaOu7EiRPda6+95gPum4KEYfPBqj1gwAC38cYbuzFjxiRbGwehwjkX+SNhaIeEoR0IQxlO7JAwjAS5kteEuLZ11lnH3X777cmWOt5880230UYb+bp7m2++uc+gLSYeSyFhWD3jxo1zm222mTv++OP9INIYciXbIVeyHXIl2yFXsi1yJUeCkk8awpM4og9h+MADDyRb6+orMc\/v5Zdf7p9osBbuv\/\/+Pkmi0iccCcNsQBAefPDBrmPHjm706NHJ1jVR8okdSj6xg3FEySc2KPnEFiWfRILK1TTkuOOOc4cccojr3LmzGzVqVLLVubFjx7r11luvgdD46quvvICcP39+sqVxJAyz5cknn\/TXqZT1UOVq7FC5GjtUrsYOlauxReVqIkEFrlfzzDPPuE6dOnmRsemmm7q777472ePcaaed5q2DaRAdiMWHH3442dI4EobZw6B90EEH+ezle+65J9lahwpc26EC13ZgCZeXxwYVuLZFBa4jAVeypvypc0+2adPGvf322369Xbt2DYThgQce6AYOHJis1cG5Q0BSVqUSJAzzA1FP7OFee+3lPv74Y7+NQV2uZBs0JZ4dPOwgDkX+4FGTCLdDU+JFAupcwbXOHXDAAe6MM87wrxFu66+\/vrv33nv9Ouyzzz7u2GOPTdZW06VLF3fVVVcla42DkBw+fHiyJrIGCy4zp2y44YburLPOch988IEf2EX+8NCjhAgbZDG0A4\/aypUrkzWRN8uWLWt9FkOCr3\/55ReverlJ8Zd1tjNoEoeDdY6F12wr1oZg13QbBoFibXhNG1w4tGHAKGzD\/tCGJ\/rCNmxDGIY2bE8fp1gbjkM8URig2B6Ow\/tDGz6nWBvWS7UJx+Fzi7UJ3433h3OUbhP2lzpOug3nh\/NI9jGJDJwHPoPOicXw1ltv9Z\/BZ2It7Nevn9\/PQnvm96Ud7dPHSV9zspbnzZvnl08\/\/dSddNJJbu7cufXbWHDl8\/7QhuPx3cL\/wzlgX2E\/SR8ntCnWT6rpW6EN57OxNoXXr1ib9PVrrE2pvpVuw+cUtsE6SHkJssdJTtlggw3cFVdc4RMjcHUGd2fhcVhPfzeOUfjd+C68l23pNuG78f5wXpvThmOnr3mpNsWueboN+2hTrp8UtinsJ8XaFF7z0AYLFtmES5Ysqf+evI9jFGvD6\/RxwjkqbFOq3\/P\/FWsTjk2bwusX2lTat9LHoU04TuH1q\/Q4tK+0DeuljsO5Xr58uVu6dKnvz2wr14Zjs4\/vEr5HsTbpa842zmm6Dftok74W6Ta8jzbpa85xCq9fsTaFx6mkTfo4lbThGKFNqb7FOt85tMGN\/M033\/jz3tTjsD+04Vqk24Rrnm5TeP34XF6zjX2hTWF\/5HVoE655sTb8Lbzm6TZ8Dvv43ErbhOPQJnyPUm3COSrVhm20a3UWQ\/5h\/lEuKE\/Q\/GWdHzD\/MJ0rdBJes419hW04SZW04XW5NuxnG9+NpbANCwNNseMUtmFfOA4XlfexXuo47A\/HCZ9Zrk36OMXahG3l2vAdWQ\/ntVQbzmP37t29EOzatasXerwmqYSiyjvuuKP\/zIsvvtiXqQmfS\/tvv\/3Wu5+feuqpBsdJX3PEI+KQBUF46qmn+nZhG0sYMAqvH0v6\/ynsJ+njVNqG717YJn1eQxteV9qm8LxW26bavoULGTjfuPp32WUX99FHH3mLLf9bsTZ8VthW+N34Duk2fEfWS3230KbwWoTjlPp\/KmlTeM3LteFvJW0K+0lT2uBGpuTVd999V\/89eR\/vL9aG16WOU9iG81P43fj\/Ctvw\/cKxC69Fuk3M41Yl341zjQhHGPK68Dil\/h\/2FV6Lwjac58LvVqxN+loUXr9ibQqvX7lrHlMbRMvXX39df64rPU6xa5Fuw3ks14bP5TXb2Eeb8N35G65f2BaOU6xNpf2+seMUa1PuuzXWpvBasI2QLsUYRgAXodazrsgunjp1qnc9MvXaW2+95UvTDBkyxE2fPt2\/h6LWiEU6d2DGjBl+GzfESsCtKVeyHQzAZNyfffbZ3r08cuTIZI\/IGgZ7nvhF\/gRhIvIHV3KxigciH3jAlDCMANUxLA6C77777kvW6uJ6sCgec8wxXkgvXLjQF7g+6qijkneUh5unkk\/s4JoFtwQiHush8y4vWLDAbxPZgbue8y3yh3Ek\/YAq8kN1DG3BBa\/kkwig42vmk4asWrXKi8B0gWugXuH222\/vp2WjPApxbE0ZNCQMbSmc+QQrC2WHKDE0bNgwPRBlCKJQZT1sYMzBxSnyhzqGP\/74Y7Im8kYzn0SC5kpeE4QbNzoEYiGcLyxOBNo3FQlDW0I8SyEzZ850u+22m7cg4l5WSZvq4TxLaNuAtZB4LJE\/mivZFtz2shhGAEJHHd8GCUNbEIYEjZfi5Zdfdj169HDbbLONe+mll5KtojnQt+VyswFhSOC+yB+EIcmBwgaMVBKGESBXsh0ShrYUupKLgbWQckNklw8dOlRWr2YiV7IdciXbgStZdX7tkCs5EpR8YoeEoS1YVUiKqIQ5c+a4Pffc08ePXnfddfUlb0RlcJ5lxbKBEh\/lHnhENij5xBYqG8hiGAF0fEp6iPyRMLQFq0pTszdfffVV17NnT1+\/klhEURmcZ8Uq20B8IdmbIn+wGGrmEzuwzspiGAGa8scOCUNbePqkcGpTwb18+eWX+5lTKEium3B5OM+KxbIBy6y8PDbgOVCIhB2UgpMwjABcybrx2SBhaEtTXMnFWLx4sevfv7\/baKON3JVXXqlM0EYgyUfnxwa5ku3AoyYRbodcyZFA1hXTton8kTC0hTmosyi6zNzLe++9t9tss83chAkTkq0iDSKc8y3yB6Eit70NlCxTcqYdTM8ri2EEYDHUVFY2SBjaggWrGothIaNHj\/ZzaZ944omaJqsAWQztwG2vWWZswGIoj5odhKPIYhgBxBgqhsIGCUNbGNBxu2UJlpr99tvPxx8Sh6iMxToQK3rAtAFRqH5nAzGGegi0g3wHCcMI4IlIU\/7YIGFoCyIurzll33\/\/fdenTx\/XpUsX99prryVbaxdi3nQDtYGpHZXoYwNZyaraYQdue7mSI0B1DO2QMLQFy0re092NGjXKtWvXzh122GE1HYuEy17uTRsYR\/J64BENUR1DW\/DyyGIYAXR8BdfaIGFoCxYsi+zNZcuWuRNOOMG1b9\/eDR8+vCbLPyEKFZJiA0JFFkMbsBjKo2YHibCyGEYAMYbKcLNBwtAWLOGccysmT57s9tlnHy8QH330Uf\/bqhWI5ZTnwQYedpToYwNVOzT9oB08XMpiGAHcvNTxbZAwtIVYLLJlrXnmmWdc9+7d3ZZbbunGjRuXbG3d0LflcrMBN7KmH7QBYSjrrB0YqSQMI0CuZDskDG3h6XNtFQIm5m7MmDGuQ4cO7pBDDnHz5s1L9rROcCWrjqENCHA9zNuAK5lp2oQNK1askCs5BjTziR0ShrZUO\/NJFhDneMEFF7j11lvP\/f73v2+1GY6cZ1mxbNDMJ3ZgOFGIhB2a+SQS6PhKx7dBwtAWrCqxZG9OnTrV7b\/\/\/n56vVtuucXPqNCa4DwrVtkG4gtVM9IGLIbM3ytswDori2EEIAxrMYtybSBhaAuxQRRejgnqH2611VY+\/pAEFX5\/rQGEoWKxbMAyKyuWDRS4VoiEHRipJAwjQK5kOyQMbYnBlVwMais+8sgjvjj2vvvu2ypimORKtkOuZDvkSrZFruRIIOuK2kEifyQMbSH5JOaiy1jZjjrqKD+93oUXXtiiQzoQhbKs2KDkEzsI+VDyiR3Lly+XxTAGsBgqXsUGCUNbiMVaG+Vqmsq0adPcwQcf7NZff3130UUXRWnlLAfnmfJAIn8Ij9AsMzZgMZRHzQ4eeGQxjADqGGrGAhskDG1hQMft1lJAIO6+++6+BuL999\/fogQi51k3UBsQhaoZaQMxhpoD3A68DhKGEcATkab8sUHC0BayZGPJSq4UHtRISiE5hSQVZlNpCRDzphuoDVhmlehjA1nJqtphBzWV5UqOAFzJCq61QcLQFiwrJHq0RHhgGzlypC9v07dvX29NjBkln9ih5BM7+B3KOmsHXgdZDCOAjq\/gWhskDG3BgtXSb6DUUBs+fLhr06aNO++889yyZcuSPXGBCFdIig2yGNqBxVAeNTtIhJXFMAJwXckFZIOEoS1YwjnnrYHPP\/\/cT61HBvOwYcOiiz\/EiiXPgw087CjRxwaqdqhwux08XMpiGAEIQz192iBhaAs3z5aQldwUZs6c6XbccUfXtWtXd++990bjKqdvS6zYQFay3PY2IAxVtcMORLiEYQTgSlYdQxskDG3h6bM1xmLxmx03bpzr0aOHL5I9evTotS6AcSWrjqENqmNoB65khVrZoTqGkaDkEzskDG2JdeaTrEAgPvHEE2677bZznTt3XqsCUckndij5xA4ln9ii5JNIoONrknAbJAxtwaoS21zJeYC768knn6y3IL788svJHjsoCyQrlg0UblfNSBuoY7hy5cpkTeQNiT6yGEaAhKEdEoa2EDtbC8IwgEAk7jCUuHnnnXeSPfkjYWgHllkJQxsQhgqRsIOakRKGEYArWYOMDRKGtrR2V3IpEGgjRoxw7dq1c6eccopJiRu5ku2QK9kODCcKtbKDRB+5kiMAK4OST2yQMLSltSafVMrChQvdkUce6edgHjJkSK4CUckndij5xI5Vq1Yp+cQQJZ9EgsrV2CFhaEtrLFfTHGbNmuWOOOIIb0E888wzcxGInGeVq7GB8AiEuMgflauxhQceWQwjQAWu7ZAwtIUQCc65qCMIxLZt23oLYpZzwOLeVEiKDSpwbQfCUAWu7cDrIGEYAcRQyFRug4ShLTzwkBQhGjJ79mwvENu3b+9uu+0299133yV7mg9iRQ+YNiAK5eWxgTqGWT5AicbRlHiRoDqGdkgY2oK7LZaZQWLkmWeecfvuu693MZ9\/\/vlVZXAr+cQOxhEln9igOoa24HWQxTACZDG0Q8LQFixYuoGWh3mY99hjD18D8a677mqW+x0RTrKPyB+EiiyGNmAxpLaesEEWw0hQjKEdEoa2YAlvjsipRRiMx48f77bffnu35ZZburfeeivZUxmKMbRDMYZ2KMbQFsUYRoKyku2QMLRFWclNh9CSm266yXXo0MHtueeefk7mSsS1spLtwOUvt70Nykq2RVnJkaA6hnZIGNpS63UMq4EB+uabb\/YWROZhvvvuu71VsBSqY2iH6hjaoTqGtqiOYSQo+cQOCUNbanXmkyxhfHjqqae8QNx00039lHvFUPKJHZr5xI5yyScay7NFM59EAh1fcyXbIGFoS63NlZwnhJw8\/fTT3nrYu3dv99BDDzUoBaS5ku1AgCue04ZicyUzfiNesGz96U9\/8lZFjenZQKKPLIYRIGFoh4ShLQgVCcNs+fXXX33mcs+ePd3mm2\/uXnzxxWRPnYtT5A\/XQMLQBoThypUr\/esgCLGif\/DBB26XXXZx66yzjhs1apTfpnG9eiQMI4EOrUHGBglDW+RKzg8siGPGjHGdOnVyffr08e7mcAMV+SJXsh0YTrg\/MmYjWBYvXuyOPvpoLwjDssEGG\/i+L3FYPXIlR4KST+yQMLRFySf5w0B+5ZVXuh122MGXubnnnns020zOKPnEDtzEK1as8Fba66+\/voEgZOHBCIshfR4RGauoaSko+SQSVK7GDglDW1Suxg6ykh988EGfpEKhbAQibjiRPSpXkz+M0Yg8PA4Ivy222GINUXjGGWe4Tz\/9tF440t8lDKuDBx5ZDCNABa7tkDC0RQWu7WDqQcYSBvUJEya47t27ux133NG7mGVBzBYVuM6PIAhxC3\/yySe+lmehIOzfv7977rnn3KxZs9yCBQv8XMpcE7xvEobVgZdHwjACMH+rTpMNEoa2aEo8OwqnxKOvX3311fUWxDvvvFOJQBmBKJSXJ3sYl3FjMtPJ6aefvoYg3G677dzo0aO9lfCzzz5z33zzjU+W4HrwYKQYw+rRlHiRQGdWHUMbJAxtQawwYIv8weXG+S4kWBDJYg5zMcc68LcUGEdkhc2OYCUk7OTWW2\/1ySRpQcgsQJdccombMmWKmz17tvvqq6\/csmXL\/IMnfZ44xGAtF9VBoo8shhEgi2FDeFosdoNLw9M6MSVNRcLQFgZu3UBtwDLbWEgKgz1u5W7durnddtvNPfHEE7IgNhNZDLMhCEKMI5Rdom+mBSHLCSec4B5\/\/HE3c+ZMN2\/ePPfdd9\/5DOQQv4z7mAcdjenZIIthJPCkk3YB1So8BRI7stFGG3nLBoHFhQKRAWHgwIH+CXLjjTd255xzTpPKoUgY2sLTZ2PTuIns4DxXUvYKATly5Eifxdy1a1d39tln+xIgonIYl1Qzsvkw\/rIgQMK4XygI99hjDzd+\/Hg3depU9\/bbb7tvv\/3Wu43DmEKiCYISYanxPDsoJi6LYQTQuWt9knA6I+6Dww47zA8U06ZNc5tttplfD530b3\/7m9t11139rA88OVLgtH379m7IkCF+fyVIGNqCVVdZyTZwnpuSEMFN+d133\/W\/sQ033NA\/iEkgVgaW1nJeDVGcIAjxDDEWFwpCxn3cydOnT3dz5szxY\/3nn3\/uLbR4H9JuY43j2aOs5EhQHUPnnn32WZ9FmU5UeO211\/xAEaypYT09S8zrr7++xrbGkDC0hWunG6gNlE8pnDqsUrgBB4E4fPhwuf\/LoDqGTYcxF8HBAwyllDbZZJN6Mciy\/vrru\/PPP9\/HEZJtjIFg6dKlvhQNr\/EMEXYlt3G+qI5hJGAxrMQF1JrhCbAw3umOO+7wA0YQFhdeeKHPSktD0g7vIbi+EiQMbdHMJ3ZwnqutrYdA3GmnnXwox2mnnebjucSaaOaTygmCkPvc+++\/Xz+NXXo5+OCD3Z\/\/\/Gc3Y8YMN3fuXG+55mEfAU6fJnZWbmMbNPNJJPAUpKmsVvPqq6\/6J8fOnTu7l156KdnqfGwhA0garK0dO3Z0t912W7KlcSQMbcH9owQHG7DyZZEQwUPa5MmT3RFHHOHDOwYNGuTeeuutaG8WawPEiipJNA5jLAvWp2LT2LHwEPLwww97tzHuYsrPkIiJOGHcIHwICyMiUWO2DdSElMUwAhiIJQzr4Md\/7LHHum222ca7tZ5++ulkj3N9+\/b1g0shWDeuuuqqZK1xiE8ZOnRosibyhgFeySc2cJ6zjlXmZo2lnkQvklXuu+8+Xc9\/RsknjRMEITHGl19++RqCkDhCamxSjxArNUWqcWESd4glNhRr5zNIMlFyph0k+LQ6YcgTBjd\/3Cp0KP6yHl7zl07HErbRhqWxNqw31oZ9zW3DX34QTWnDa56kmtombIutDZY\/\/rKwn\/9t7NixfhB54YUXvFX1wAMPdAMGDKh\/H20YRIhVufHGG9c4TnjN4ISrnoWnUTKZuYGGbSxYEot9t8LP5LhhP39ZD6+b0qbccdL7Q5vwmr+sN9aGfdW0yaJvcc2IeeP8Z\/ndWkqb8LpUm\/RnFmvDeqVt+C1gwcLllt5f2IbPK3acYm24fgEeXJlujzhgROKIESP8jTxYhfiMwuMUfvdwnEr7Fn8Lv1tTjtOcNpV8N8414wcxhrxuznGqbRNel2qT\/sys2rBerg3rjKWcx4ceesj3lUJRSOHqN954w2cbIwq\/\/vprX5OQ84nYxvLN5\/AZHI91LIbhXBd+9\/Dd0t+D9fR3y6IN+6ppk8WYmncbtjGOtDpXMj9YRBbmUDL0+Mt6EAX809ysGOjohMFsTadMt2GATbfhiaVYG9Q12+i4hcdprA3HoQ3Hwf3zl7\/8pb5NiK3gfbRhf2Gb9HFYD8fhfbw\/tAnfjffw3nSb9HEK2\/B5lbTh+6Xb8P1DG75jaMN35338\/8XaIB64Lmzjc9nGjYmivPvtt58XgKeeeqpf5zPYz2eSsda2bVsvItPfjfeEc0SFfAKaWd58801vkcRVFraxMDDxvVhow+fwfVjC\/8M+PjfdT9LH4X2hDe1LtaGfFB6nVD9hW2jT1L7VWBveV6wN16tcm0r6Fm2wqmARwI1Eu3Jt0tevXH\/kO4Y2fPfQJn0c2vD9G2vD\/08b9pdqw3lMf7dK2nCcwn5S2Cbdt8JxSrXhfaEN7UMb3sN7cW0SoE9fp304Tqn+GM4RbdP9pFQbPp\/ryWc\/9thj7tBDD3Xt2rVzJ554ov8Mbnqc\/2LHoQ3nryn9MXy39DUv1oZjFh6nsE245uk26b7VWBs+s7AN54Jx54svvvDjVrk27Oc4pfpJ+rvxv4Rr3lgbzg3H4W+xNly\/dJtyfavwmhdrw3r6OOk2P\/zwg\/9fOTYP8rvvvvsagrBPnz7+4eKVV15xH374oa8qwXmkDM2iRYv85\/M5\/L\/p4\/AA8vHHH\/vzzjb28f0Lv1upvlXYhm385TyWahOuH214zXGK9RPapK9fuOaNtSm85uk2bGusDZ9ZrE1hPyl2nHDNS7XhXLCNcyNXcgSgzrkotcz999\/vg90LwaWMKwuYSJ0ah2nIWGPQIWi5EghgJutS2MDTPk+pIn84z5YJEdzcd955Z29FxMWMtaFWwMKi2Nk6gtsYcUE8aqEgJGGQ\/pGOI0QAIlLC+NBY+Rm2I4iEDQjKVmcxbInwo+CJp5ahXA2DyMsvv5xsce7JJ5\/023hahCACGWSAQeSkk05yW2+9tTeDV4KST2zhaZRzLvKH2D\/OtyU8aFGEmJs\/xbIvvvhit2TJkmRv6wUBXutihTEUAYG1uNg0diQFMtbiNWAaO7xiWP8QHlifeZDAK4SobGw8xoWMtUvYgBVRwjAC+HHwtFXrYMljQNl\/\/\/19Ees2bdr4CdPTPPLII\/49\/fr189YKal9R86pSJAxt4SZgacWqZbjZMqivDbiRUFM0uJjPPPNMX6S+tYIrDldeLRIEIQ8FpaaxGzx4sC8\/UziNHa53hCRiLwjCcmMxFkXcn8IGTYkXCfzArJ\/0Y4WBhPqF9957r1u4cGGytSHz58\/37xkzZkyTBbWEoS3BMiDyB\/cm53ttQ0LBKaec4sM+evXq5X\/LfLfWBOMIbtBaIog4RAOxrMWmsSOOkPm4cRsTgxmmseP+hkUbz05T6xFiOEGICxsIa5PFMALo+HoiskHC0BZCJGrtBrq2wDKLhTYWsF6SbNCjRw\/vZr7pppt8kldrADdyLVkMgyDk98z4WSgIKT9z1113eUGIaKT8DJYnzhG\/f7JfG4sjbAwshiRECBuI\/5TFMAL4wawtF1CtIWFoC0+fqntnA8kQBPTHBuPbuHHjfLkpapOee+65PoO6JYNlthasWIyTiDncv6Wmsbvgggt8ZYf0NHbcz8gixlJcSRxhY2BljOmBp7WDy18Wwwhg4KzVeBVrJAxtwbLCTUXkD+c59oQILErMXkR9O1yRlCxpiSDCY3Db50UQhLh9qTlIclFaELIcfvjhPq40xBGGaezog4yzxBE21W1cDD4nxgee1gqJPhKGEUDHx+wu8kfC0BYsB0o+sQGhQl25lgDfkxmIsCAyLRrxwi3Ja4K1sDVmyjIusmDha2wauz\/+8Y\/15WeIBQ918MI0dlkIwgBuaCVn2kHmuFzJEcCPqNbrGFohYWhLcCeJ\/MFiyPluSRCz9vjjj7vddtvNJ6ucd955PsYpdgiPyOqBJ4ixtT0mcXwEAZnDV1xxxRqCsNg0dpQQQyBzLkIcYTVu42LgilZyph1YZ2UxjAA6Pn59kT8ShrYQIqFCwDZwnltySArlbQ455BDvZj7ooIP87ESxggCvVqwwBnEDnjt3rre+sSCushqb+BwWbvRMAFDqs8P3wEBBslCxOMKzzjrLvfvuuz6O8Msvv\/S1KrHwIiIL4wiLHaMaiDFsKZbw1oBmPokEflTKurJBwtAWrAkShjaQ\/dka3JvMjHHRRRd5CyJxiNQuja3kEYKoGi9PEGOM\/WRtBxEWMkKrHZ\/C52ORDULvyiuv9OIvfHZ4D9s++eQTXzs2fI+wMB3pc88954UlApap67hX4UpnLG1O+ZmmwjFkOLGDCikShhHAD0umchskDG1RHUM7sNy0NFdyY5DIcMstt7gtttjCbbXVVn7azFjKelXrSmb8we2K+3\/bbbetF2LE9RFzjtBqLkHw8TlMMxo++4QTTvDxf9z02c\/f5kxjF+II+f55CsIA4ll1DO1QHcNIoOO3hLia1oCEoS1KPrGjJSWfNAVECFbDPfbYw7s1mXZvbSfrVZt8wo0XSxgZvEzpGQQZbloepKqxGvLZ3FMQdGmxN2nSJC\/qEIwc9\/rrry86jd2IESPWmMYOy2N4yOOzs7BqVgrXX8kndhA3KothBPDk1Roz3GJEwtAWbqAqV2MDfbu1W1aYN\/2AAw7wcYhMnfnSSy95gWUNbvtqrLPceBFZjPtYQ4Mwozg01zHt8m0KtKEt1mNmnQmfO3DgQH\/Dp3\/gGsYKG\/aFhWnsQhwhs0sxjR0PGs2Zxi5LOK7KudnBQ4AshhGAMORiiPyRMLSFGxHnXOQP7s1aCUlBtPA73nLLLb3FbezYsaaWaY6FYGouCCzEG4Wb+R+COMNKh1WvucKQGzpCCutg+EysrC+\/\/LJ75ZVX3D777FO\/PSxhGjviCLOaxi5L+H9kOLGDPilhGAFyJdshYWgLg4xcyTbg6mtJtQCzgEzbBx54wMfpbb755u7SSy81SeSr1pUchCHXKy0MsdY1VxjyftohWJmCMHwm1sIjjzyyfj0s3bt3bzCN3ddff53ZNHZZgitZU8baIVdyJPBjVvKJDRKGtij5xA6EBue7FmEM\/fDDD12\/fv1chw4dfKIFgicvGEeqmQM8D2GIgENE3XbbbQ0EYOGSnsYOCyXT2DGHNQ9xuMfXRhxhY\/BdWnuIREwo+SQS6Ph6IrJBwtAWQiSquYGKysEyqzllnS++zHzMbdu29fUQn3\/+ee+OzBKSN6qZpi1rYch7se7heSpMKEkvhx12mPvzn\/9cX34mr2nssgSxq3JudoSSSTFSczGGteYCWltIGNrC0ydxSiJ\/EBSaU3Y13OCYwaNbt24+DhE3M0IoC7DMVmPFSgvDnXfeuV64MS9xU4Uh7+PzcP0OGTKkgRAMC1ZUrISU\/CHDe\/z48e6FF17w7nAe3BBfsQnCADGOeuCxg5qRshhGAD9IDeg2SBjaEmZGEPlD5mg1CRGtFc4LyRcUyyabmWxdSrJUk\/CHeKvGbZ8Whn379q0XcGRZN1UYchPH64SlNC0GK1n23XdfLyibcjxr+N80ZawdPCxIGEYA5vu1XZerVpAwtIVyF7Ua92YN8WGaOqxxqIf34osv+uzcMDczcXZNhZjwaoQlwpBYPixhaWHId8OChxepkjGK94TPSn9OpQtlaxColR5vbYBwVXKmHdStpE\/FSM1ZDPVEZIOEoS2yGNohi2HTePvtt91JJ53kNtxwQ3f44Ye7Dz74wAukSiA8olqLIWIOcVkoDIkVxUpWqTAM1kLqOiJ4mdqOYuC77767X3jNsueee\/p9e++9t38f8YavvvqqPx7GiVjHRP4\/JWfaQVa6LIYRwGCkJ30bJAxtIURCMYY24IJUIeCms2TJEnfGGWe4Ll26uO23397H35XLpMc6W41YSQtDMqmDMKT+YFOEITdwRB3fB6vavHnzfBFwMrTff\/99vyB4WScLedq0aX5eZJJcyEbGgorA5TNiFQPEGCoG3w6SkWQxjAAGAWVd2SBhaEsIbhf5g6Coxr1Z6\/AAc\/fdd7vNNtvMu1gvv\/xyL7JwZRaCZbbarOQshSG\/McQTIpd6hIg+ptdLL2xjirsFCxa4hQsX+hI1HJ\/\/u9LjrQ1IjEGsCBt4WJAwjABcyTKV2yBhaAvWiHLWF5ENuOyrmaZN1IFL\/s0333SHHnqoF4hkNV999dVecAXo09U88GQlDHkP9w\/EK+24j\/AwxueWWtiPZZmsakQhFjm+T6xjIudCdQztUB3DSKDjK7jWBglDW7BicMMS+YMIl8stWxgvqPt38MEH+8LQxxxzjLe+IcDY11yyEobATRxxiOUQ6xoikc9ubOE9CEKOE7MoBP4nrFjCBs18EgnEGDJAiPyRMLSFJ\/1qbqCicjjPsqzkxzfffONOO+00X\/KG2oOPPvpos0OAshSGwHsRiGHh8xtbwvtoF\/tYiOBV7KwdZMrTN2JEwlDkgoShLdVaVkTl4BZUSEr+cONk2rnddtvNzze80047+WzipoA4C8Jw0KBB9cLwvvvua5YwbM0gDHF\/CxvwOkgYRoBcyXZIGNoiV7IdciXbEWbjYJaIm2++2W266aZeII4cObKiRIkgDBE8aWE4evRofx0lDFeDK1lTxtohV3IkKPnEDglDW5R8YoeST+xgHElbwplr+IknnvB1Azt16uROPPFEH5tYyhOERYY4P1ykgwcPbiAMuYZYyTRG1YFIVoiEHUo+iQQ6vp6IbJAwtIUbo8rV2IBlViEpNiAES5WroSwMM6owP\/Mmm2ziTjnllAYZzcCNF0tYoTC8995764VhrDdna1Suxha8l7IYRoAKXFcOgo6FQTMsdOJKF0TKJZdc4q20xfZryXZBqCBYiu3Tku2CdZbzXWyflmyXIAyL7QsL4u6LL75wRx99tGvfvr074IAD3CuvvOKFH2M+Fl6uV9qVfM8993jvEdZE3lPsc5uzpMfLMIa2FFTg2hbCI+gzMVJzruRqiqXWCgxmdNg77rijfiDVokWLFi2VL4yfjKMtRRziUdOUsXZgxeYBIkZqShjyZPn9998na6IUdFbOFcHexQY8LVq0aNHS+ML42ZJc1VhPVcfQjuXLl8tiGAOyGJaHp1vOE7MSXHfddUUHPC1atGjR0vjC+Mk4ynjaEqyGshjaIothJCjGsDwMYAwQxAgSA0Ew95w5c9yMGTPc9OnTK16YUP6EE05wn376adH9WrJdXn\/9dT+Rf7F9WrJd3nvvPX++i+3Tku3yzjvv+Gnziu2rZGH8mTJlir9eAwYMqBdtG220kS+gzXR8jzzyiJs2bVrR9k1dGCcZLxk3GT8ZRxlPW4IwVIyhLST6yGIYAfxAm1tBv1ZgAENAU8SXQWLx4sVu3rx57rPPPvMDXqXL1KlTfbD37Nmzi+7Xku3CzXPy5MlF92nJdvnwww\/9+S62T0u2Cw87b7\/9dtF9lSyzZs1yn3zyif+Mk046qV4Y8vquu+5y\/fv39wKReZpJXqEUTrHPqXRhnGS8ZNxk\/GQcZTxtCcJQWcm24LaXMIwATPqqY9g4DGB0VuJNyOqjuCwdmGKcTVkWLFjgTj\/9dB9HUWy\/lmyX+fPnu4ULFxbdpyXbhSnbuPkX26cl24VxhLI0xfZVsixbtsx9++23XrANGTKkXhieffbZPpMZAce+CRMmeIsilsRevXq58ePHN\/v3xHjJuMn4yTjaUhJQMJyojqEdqmMYCXR8zXxSHjorT7k8QVKPEHcIpVCasvC0fP755\/vSHsX2a8l2WbRokbeGF9unJduFWqic72L7tGS7kCy4ZMmSovsqWRBn3IB5QL3ooovqheHFF1\/sP5t9vCe8HxfwBRdc4GdY6dq1qzvqqKPcG2+84X799dcGn9vYwnjJuMn4yTjaUpJP+L5KPrGDhwhZDCOAH6nmgqyMYDnEysp5Q1Q3ZWGwZfAlK6\/Yfi3ZLvTrMMWXlnwX+jbnu9g+LdkuWLAI0i+2r5KFuDlEGnUMhw4dWi8Mec029vGewnYIRmITKaDduXNnt+2223rXM1ZErICF708vjJeMmy3FUhhgrOZcCxuwKstiGAH8YBkMRGUwqDV3IbaGmU\/o+MX2a8l2IUSCc15sn5ZsF84z57vYPi3ZLljgKHJdbF8lC+IMSxhCb\/jw4fXCkNdsY18QcKUWrIUPPPCA69Onj+vevbsXiY8++qgXUsXen15aEhKGtkgYRgJPc3Il26Ap8WzBdc9NVOQPllllb9qAxbAaLw83XiyCCPlCYcg29jXl5oyYHDNmjNtyyy29QDz++OO9SGwN\/UGuZFvkSo4EJZ\/YIWFoC2Llt99+S9ZEnjDFGu5kkT+MI8TsNZeshWGAPkCmMy7pvfbay2c2H3fccW7s2LEtNlwJw4mST+zgIUMWwwig46tcjQ0ShrYQIlHNDVRUDpZZhaTYgBu3mkkJ8hKGhVCWi8\/s3bu369ixo7vssst8PCL3nJYCFkOVq7FD5WoigRhDFbi2QcLQFm6exL6J\/PmHf\/gHzaBkBJbwarw8aWE4cuTIemFIUkmWwjANNS779etX726+6qqrfNmc2OFcKETCDhW4jgRcyZhvRf5IGNqCaxP3lsgfpjnDkiXyh4cdxGFzCcIQF+moUaPqhSEFrvMShgH6yKRJk7xIxIp45JFH+u9A6ZwYwbpZjQgXTUNT4kUCWVfUrhL5I2FoC5bwam6gonIQ4fI82IBQqcZtH4Qhmc2FwjBkJVvcnHErM3dy3759XYcOHbxIpPxNTJZEyvAoOdMOHhBkMYwALIZyAdkgYWgL1glZDG2QxdAO3PbVWgwxCCAM77333gbCkHuBlTBMw2wuN910k9t3331d+\/btfRFtROLSpUuTd6wdsBjKo2aHLIaRoBhDOyQMbVGMoR2KMbQDUVhNpmwQhgj5tDAcPHjwWhOGab788kt36623ekviBhts4I455hj36quv+nuVNYoxtEUxhpHAExHTWYn8kTC0RVnJdigr2Q4sfdWI8NiFYZq5c+f6zGZmWtlmm23cGWec4V5\/\/XWzMlTKSrYFt72EYQSojqEdEoa2YFlRHUMbcNkrntMGxpFq6xi2FGEY4P995ZVX3KWXXuo222wzP9sKMYlvvfWWPx95geFEdQztUB3DSKDjK7jWBglDWzTziR2IQrncbMhi5pOWJgzTELYwY8YMN2zYMLf55pu7rl27uqOPPtq99957fl+WcC7kUbNDM59EguZKtkPC0BZuoHlaE8RqOM\/yPNiA9ayaRJ+WLgzTEEM8c+ZMb0lEIHbp0sWLxA8\/\/DATCzbnqaXO2tIS0VzJkYAwVMe3QcLQFoQh2bIif+jbcrnZgDCsZvrBtDB86qmn6oXhQQcd1OKEYRp+67NmzXKXXHKJ22KLLbzLecCAAe7hhx9utpDmPJEpK2zASCVhGAFyJdshYWiLXMl2yJVsR1auZMTlCy+8UC8MKTqNCGqpwjANMa9MyXfPPfe4nj17epGI8H3sscd88k6lcC6Ypk3YIFdyJCj5pA4GgPvvv98PHv3793fXX3\/9GueFwfKhhx7y+w877DAfDN0UJAxt0cwndnCeq7FiicrBfVrNAw\/jDwYBxHyhMERwUtS5pQvDNPwvn332mReJO+ywgxeJjOHjxo0ra+VW8oktWKxj7Xs1ZzH86aefkrXahFpVhx56qK+Zdc0117jbb7\/dbbXVVm7nnXdu4II4\/\/zz3XrrreduvPFGd\/HFF\/vB9JFHHkn2lkfC0BZucipXYwPnWbHKNjAmVVN0uZwwJJM\/VqtNFnz++edeJG6\/\/fa+DA7\/9\/jx44saSDAYrFy5MlkTeYN1VhbDCCDGsNY7\/sSJE\/3AyFNlgEGibdu27pZbbvHrX3zxhX\/PlClT\/DogINu1a1ex+JAwtIWnz6yzFEVxOM+KxbIBy2w1Xp4gDLE6Mm9xWhgi7lu7MAxwHqiTeOedd7oePXr4DGeKak+YMKHB3M1NcT2L6lCB60jAlVzrU\/688cYb7qKLLkrWVrPLLru4E044wb++9tprvQsiDYKaAZVaWpUgYWiLXMl2aEo8O7JyJde6MEyD+5IZV3jY33XXXd0mm2zi+vTp45544gmf0CJskCs5EghC\/v7775M1EcCkzWA5evRov860TMSlpGEA3XDDDd3dd9+dbGkcCUNbmOoxi5IVojyIcE2taQPWwmrc9hKG5SEhE29Rr169fIbz3nvv7TO4lyxZkrxD5AGWWlkMIwCLISpdrIaYQwZJXAshoJ7J3am0n4YBlvdgTawECUNbsGDJYmiDLIZ24Lav5oFHwrBpEGI0cuRI17t3b7fpppv62MRzzjlnrc3f3JohHEUWwwhAGKrMxGq4uZGZ3KZNGx+kHEAYHnXUUcnaanAvVyoMGXApxCpswLKCGBf5w3mu9ZAUKxB01cS9SRhWDsIvnW1P+NBLL73kx3ESV7bbbjt31lln+fmbyeYW1cH5bXXCkB8V7hRcswyS\/GWdTC9MpFjmmF6Hhf3U7KENwiy0wYTNyUm3IWu4WBtehzYcB7Ud2hDEWa4Nx2H7ggUL6tvgQk23oRJ5YZtwHP4WtuH95dqw3lgb9vG55drw\/Qrb8H\/QhvNHG44f2vD\/F7bh3PL57OM8bLvttq59+\/a+cj6fwXY+87jjjvOxJ3wmx0F0zJs3z2cy424uPE64fp9++ql7++23\/fLyyy97cUlMYtjGsmjRIv+9Qhs+h2vHd0v\/P3xuum+F43BM3pfuW6XaFPbHSvtWsTbhu5VqE65faMP55nWp4xT2k2r6IwL\/k08+8ec2nCPasK+wTWE\/qbQ\/Frbh+6XbhL5Vqg3\/P23Yz3nhnKb7MG04j8XahOPQprCfpI8T+km5NhynXN8qbMN7eC8ihd\/CnDlzfPvw\/\/B+2oVtoU34HnzHSvtW+G6NtWE\/nx3alDoO57VY3ypsk+4nHKewDdc83aZY36JNuBahTWHfKmzDeuFxQhvONYlwPLRSRiXdpthx2B+OE\/rWsmXL\/PlYuHBhg6xkXKbE2bGdc8U5TfdHtqWPU03fCm14XyVtWE+34f2VtGE7+0ObpvQttuE6njZtmj\/vvA+RyEMQ48vSpUvdH\/7wBzdixAhvINh66639+P7000\/7c4hQpB0xoXxm+jjpa873Kde3Km0T+gnbmtq3wnH43Ka0YV+6n4Q2oZ\/wvsJ+UtiG88M2zn+rcyWjdFn4x9J\/C7eV219sW7n9xbaV289fnhy5UGFbJW0Kt5XbX7it3H7+lttfbFu5\/cW2sQCisFOnTj47jR88hPezUMYGtzFP26zzl4GGAfXNN98seRyeODnHLAwqlLkhrjNsYylsE\/6mXxfbX2xbuf3FtpXbX2xbuf3FtpXbX2xbuf3FtoXXDMq4OAv387fU61Lbyu0vtq3c\/mLbyu0vtq3c\/mLbyu0vtq2x\/dz8ON\/pbeXalNpWbn+xbeX2F9tWbn+xbeX2F9tWbn\/htnL7w8wnpfaX2hZe4yViDMIdzYNrEIZbbrmlvzEjfBi30m3C38LPLLat3P5i28rtL7at3P5i28rtL9xGWFH6\/pjen4ZrMn36dDd06FBvSeRecfjhh7vbbrvNby9G+jP5m36dPk5j28rtL9xWbj9\/y+0vtq3c\/mLbCvfzF4MLr2OkplzJCBOUei3D00q3bt18cgkDQTH4cTN4Mnl7gHlG11133YpjqxApxBgKG3iqxV0m8ofzjFVA5A8CHKtMc+GhFuGHmGGe4bQw5DdDXC43aVFXxxArY1MgBpT7xF133eWOOOIIt9FGG\/kMZzKemRQBoSmKg0Ux1r5XU8KQAQITby1z9tln+4ERNwDxgsOGDfMLIu7ZZ5\/172EwPfXUU31tQ9wHl19+uW\/z4IMP+v2VoOQTWxRjaAcWQ863yB9EeDWJPow\/WA0RMJRiSQtDxL2E4WqwrGI4qAY8S6NGjXLHH3+8j0nECHHggQe6F198serPbm3Q\/2QxjACEYa13ToQedQyHDBniTj755AZLemYTrKt33HGHL4JKggqFUJuChKEtwZUs8oe+ranDbAiu5OYiYVg5CMNqrLOFcN6JW8TwgEjs0qWLO+SQQ7xIRECyv5bBSCVhGAGIHYJERf5IGNrCTU6uZBuIVyM+TeQPAryah3kJw8rBlZxXqBXnGJFI8goikcRHYtzxRi1evNgbbWoNuZIjgQFCMQ82SBjaglVFdQxt4DxXY8USlZPFzCcShpWB4cQiRAIrGcd5\/vnn3T777OOvxQ477ODj3seMGVMz1niylGUxjAA6PiZskT8ShrZgVcHtJvKH81zrscpWEF\/IDbS5SBhWDhZDyqpYgxD8+OOP\/TzOu+++uy+HQy1dZmMhk7y1ekKwzspiGAEIQ2oOifyRMLSF2CBufiJ\/EIZZxmKJ0mCZrcaKlRaGc+fOrReGHTt2lDAsgCoVMYRIULuSLGcSJHv27Ok23nhjX2SbGoutqaoIRioJwwiQK9kOCUNb5Eq2Q65kO7JyJfM5lGIJwpAFESRhuBorV3JTQKxSmPzoo492e+21l9tkk028y5ltFNFuyfcXuZIjgawrOpPIHwlDW7B+VDOnrKgcRKGST2zIKvlEwrA8zF4Su0WOCRkuu+wy16tXLy8Sd9xxRzdo0CB3\/\/33u\/nz5yfvahkwC4oshhHAAFFNvIqoHAlDW4jFUrkaGzjPlAcS+YMLuNoHHm6+jEdh9qawEFbEtZQwrAOLYUvyqGHkYTrXkSNH+rJqzOZFbOJ9993npkyZEn3MNQ88shhGACnxWFZE\/kgY2sKAjlVE5A\/nWSEpNiAKq81SRfghAEmsSAtD1iUMV4PbltlgWioIfxJW9t9\/fz+XM0ks1Ox9\/\/33owz9wGItYRgBPBE1dcof0TwkDG0hS1ZZyTYQ89aSb6AtiWqnxAMJw8ogK7m1VO3gf5k8ebI75phj3FZbbeW2335773Y+66yz3KRJk6KY6IKayrH2vZpzJWsqKxskDG3BsvLbb78layJPlHxiR7XJJyBhWBkYTlpjDcFQhocpX5kSlpI4uJ1PO+00N3HiRJ+tvjYS9\/A6yGIYAXT81pTuHjMShrZgwWqt9b5iAxGukBQbZDG0AwFVKx41YhDPPfdcd+ihh\/qp+rbYYgt35JFH+mxnK5FIjKQshhFAjKFcQDZIGNqCJZxzLvIHK5Y8DzbwsFNtoo+EYWVQtaMWC7fTxz744AN33XXXue7du7tu3bq5ww47zF199dXuqaeeyu2c8HApi2EEIAxVmNYGCUNbuHlykxP5Q99WVrINZCVX67ZPC0MSEoIw\/PLLLyUMUyAMa71qB1ZTrIljx451p556qtt55519WZxTTjnFPfnkk5l6HBGcEoYRgCtZdQxtkDC0hadPuZJtwJWsOoY2VFvHEIIwpDwNU+EFYTh79mw\/TkkY1oEoUqjVmnz22WfuwgsvdLvssovr2rWrr6E4cOBAN2rUKP9wQf3H5qA6hpGg5BM7JAxtwaqyNgKoaxEln9iRZfJJMWHI53Nf0DjVepNPsoQ+NHXqVO92DmVxEIvXXHONe++995rkkVTySSTQ8XEniPyRMLQFq4rmSraBskAxlLuoBSjcXm3NSIQhYh4rr4RhaahjiPARlcOY+\/jjj7uTTz7Zl8Pp3Lmz23PPPd0555zjxo8f72dqKQWJPrIYRoCEoR0ShrbwpCphaIOEoR1YZrMShoRbpIXhrFmz\/G9GwrAOhKFCJJoP1r8FCxa4l19+2Q0dOtTtuuuuviwOiSzEJ37xxRcN3M7EKcfa72rOlawZC2yQMLRFrmQ75Eq2IytXsoRheTCcKNQqW7777jt3+eWX+9qJlMTp0aOHO\/zww92IESPcc88958V4jNSUMCTrSsknNkgY2qLkEzuUfGJHVsknEoblwZql5JP8YHyeOXOmu+2229zxxx\/vjjjiiGjH7JoShipXY4eEoS0qV2MH51nlamxAuCHEq0HCsDJUrsYWvA6x9ruaE4YqcG2DhKEthEhwzkX+4N5USIoNWFSqFeEShpVRqwWu1xb0R2UlRwAxFDKV2yBhaAsPPCRFiPxBrOgB0wZEYRZT4gVh2Ldv33ph+NJLL0kYpqCO4U8\/\/ZSsibzRlHiRwACg4FobJAxtwd3222+\/JWsiTxAZSj6xgXGk2jisIAwR84XCkIcpCcM6VMfQFrwOshhGgCyGdkgY2sJNL9ZA5tYGIhzrk8gfhEoWFkMemgqF4YsvvuiFISFGGqfqLIbU1hM2yGIYCYoxtEPC0BYs4ZxzkT+KMbQjqxhDhCHxc\/369asXhpMmTfKfj8FA45RiDK2hsoEshhGgrGQ7JAxtUVayHcpKtoMYwGrd9hKGlaGsZFsowyRhGAGqY2iHhKEtuDblSrZBdQztyKqOoYRheVTH0Jbly5fLlRwDSj6xQ8LQFs18YoeST+zIauYTCcPycB6UfGIH1llZDCOAjq+5km2QMLRFcyXbobmS7UCAVxvPKWFYGZor2RYSfWQxjAAJQzskDG2RMLRDwtCOrIXhgQceWC8Mn376aQnDFBKGtlAzUsIwAnAlK5vQBglDW+RKtkOuZDuydCUj5gcNGlQvDEePHu3jRSUM6+A8KNTKDrmSI0HJJ3ZIGNqi5BM7lHxiRxbJJ9x8SayQMGwc6hgq+cQOJZ9EgsrV2CFhaIvK1dhB31a5GhuyKFeDMET0MPYPHjy4gTDkszEYxGq5sUTlamzhQUUWwwhQgWs7JAxtUYFrO1Tg2g6s4NWK8CAMET1pYXjvvfe6X3\/9VcIwgfNAHKawAS+PhGEE4DKQqdwGCUNbNCWeHbgf9YBpA6KwWi+PhGFlaEo8WzQlXiSojqEdEoa2IFYIsBf5Q\/IJ51vkD+MIWeDVIGFYGRhOVMfQDrwOshhGgCyGdkgY2oIFq9obqKgMLLOyGNogi6EdnCNKqAgbZDGMBGIM8euL\/JEwtIWnT2LfRP4oxtAOLLPVWrEkDCuDOoZ64LGDygayGEYArmQGB5E\/Eoa2cINTVrINnGdlJdtAVnK1bvu0MDznnHPqheFNN90kYZgCj5oeeOxQVnIkMACojqENEoa2YAlX3JsNlDhRHUMbsqpjGIThsGHD6oXhiBEjvMCXMKyDWo8KtbJDdQwjQTOf2CFhaItmPrFDM5\/YkcXMJ0EYMvYXE4a4UCUMNfOJNTyoyGIYAXT8lStXJmsiTyQMbdFcyXaQ5KNC+TYgwKsVK9x8EX98zvDhwxsIQyySEoZ1aK5kWzRXciQgDH\/++edkTeSJhKEtuNskDG1AGFbr3hSVQQxgtV6eUsKQ12yTMKyD8yDDiR3UjJQwjAC5ku2QMLRFrmQ75Eq2IytXsoRheeRKtkWu5EhQ8okdEoa24AJS8okNiEK53GxAqFQ7TZuEYWWQfPLDDz8kayJvlHwSCdQxlAvIBglDWwiiV7kaG+jbmiHCBtz21VpnJQwrA8OJYmft4IFHFsMIQBhqknAbJAxt4QbHORf5g3uT8y3yBzdytTUjJQwrA2Eow4kdlBiTMIwAYihUp8kGCUNbmLGg2lgsURm47DWDkg1YZrOYEi8Iw9tvv71eGJ5xxhkShiko6UNChLBBU+JFAsknetK3QcLQFsTKb7\/9lqyJPCH5RPGcNjCOVDsHeBCGiMxRo0bVC8OTTjrJJyNKGNaB4UQhEnbQ92QxjAA6vp6IbJAwtIUQiWpvoKIysMxqTlkbcCNnYTHETcpnMT9yoTDEUiZhWGcxpLaesIFEH1kMI4AYQ7mAbJAwtIUbHLFvIn84zyp7ZQOW2WqtWI0JQ0qGSBjWgeVUDzx2UNlAFsMIQBgq66ohCOUXX3wxWWvI4sWL\/UD62GOPNTlpR8LQFgoBKyvZBs5ztQkRojIo2l6t2z4IQ34jaWE4ePBgCcMUnCPOh7CBRB8Jwwig46uO4WoYEPv16+e22mqrZMtqnn76abfuuuu6PfbYw\/Xo0cN17NjRff7558ne8kgY2oLAV\/KJDQgV1TG0AWthtZmyEoaVQR1DJWfaoTqGkaCZT1azbNkyt9dee\/kB8oADDki21sG0SGy\/4447\/Drn7dhjj3Xbbbedt7pWgoShLZr5xA4shpr5xIasZj6RMCyPZj6xhb4ni2EE0PE1F6RzH3zwgR8YTzjhBHf44Ye7Xr16JXvquO+++9z666\/vB9PAt99+69vMmTMn2dI4Eoa2ECKhuZJt4DwrJMUGBHi1YkXCsDKIMZQl3A4SfWQxjACEobKunJsyZYobN26cf\/373\/\/e7bDDDv514OSTT3Z77rlnslYHN8O2bdu6Bx54INnSOBKGtuBukzC0gexvFQK2ATFXrZenlDDECyJhuBqEoQwndlAhRcIwAlTHcE2GDBnidtxxx2StDlzLhx12WLJWBx24c+fObuTIkcmWxpEwtEV1DO3AZS9Xsg1Zu5Kff\/75emFIfLWE4WpUx9AWHnhi7Xc1JQwRN6pj2BCE4U477ZSs1dG3b1\/\/NF1Ily5d3FVXXZWsNQ7nesSIEcmayBsGGcS4yB\/Os1zJNiAKsypXg5h\/4YUXGghDriNJFxKGdYYTuZLtaJXJJ\/xYuRmRDckPjr+sU8aBzsXTGe4Wypywn22FbaiZxBNbJW14XaoNP+7CNlgGC4\/D9hUrVtS3YXthm2LHwbze2HHSbXgP7023SR+H96fb8HmNteF\/4P0cq1gbtvEdK2nDuU234bxecMEFbuutt\/bH5v3sJ+6wT58+\/jNZsEYtWbLEdejQwf3hD39ocJz0Nf\/qq6\/czJkz\/TJ58mR34oknuhkzZtRvYyHrjeOENnwO3yt8N75H+G7h+hUeh\/eFNuxP\/z\/pNul+Eo5TeP3Sbfi\/KumPnNus2pTrW+k24ZoXtsG1ybnn3Kb\/31Jt2B6OU0nf4ruWa8P\/XKoN\/0NzjsO1aepxKmlT2E9YZzv7eV9oE75Hug1C5bvvvvMxt2E\/f3l\/qTZs4zuGa16sTfj9NdaG78b7+X7hOLTJom\/RhveWasP7WcJ3p024fo31rXJt0tcvtAnXj3NNyaxFixb512wr14ZtfO9wHLaxj\/+VzyGEJghDku\/mz5\/v38\/70m04f+nj0J5rU3gcrkdhm3BeC9vwvvQ1D23S17zYcSptw\/ZibSrpW2wjzOrLL7+sP9fl2vD\/cM4q6Vvl2hQ7Du8t1bfCcXhdaRveX9gmXPNK2xT2Lf5y3MI2fL9SbTgXbON9rc5iSGZeMPPjwuIv62xHSOBuIeaJJUwhxT6etpvbhm3cBIu1YXup44Q2LFgMC9vwvlJt0sdhPd2G9xf7brzOug3fI92m8ByFNuG8VtKG95x33nk+25htrLP\/oosu8iVseA9t+ExuhgymEydOLPrdaM8PG3HCsnDhQj8XKdXdwzYWfhy8P7ThczhGse\/G5xf+P01pwzmptA3bmtqmVD\/h\/elzVG0btoU2vA5tWGc7Fg+yzLkR0K6SNrzmfRyjsePweaFN4bVItyk8R6XahO\/RWBu2FWvD+4u14b2ljpNVG97DeznXDO70a9pX0oZt\/OW4lR4nfLdibcI5KtaGfY214X3pNmEbbcJnFmvD+4sdJ92G9VJt2NZYm\/S1CG041z\/\/\/LMfN3hdrk3Yz770eWUf4w6fNWHChHphyMMvwpMbNTfwwmvBcfj89HEKz2sebVivtA3bKm3Dd2nsOIgZDADhXFfShmOEa17Yhm3l2rCf96ePwz7ahM9sbhvWS7VhW2Ntwv9brE36vKbb8Dq04f8t1YZ9bGO8lis5AjCVy5XckGKu5EmTJvmBk6e4QMhkxuJaCbhuhg0blqyJvOGJlAFK5A+DPIO6yB8EW3ocag7EORM\/x406jG0suJKx3CACYnXpWaKqHbZwL211ruSWiJJP1uTUU0\/1ruQ0PNH07NnT7bvvvu7rr792n376qdt44439eyuFpyYln9jBkyg3OJE\/4clf5A\/jCNaVapAwrAwln9jCA48shhFAx5fFsCFXXHGFGzBgQLK2GlyTJKEgCDt16uRL2DBIV4qEoS3c4Kq9gYrKQGAQUyTyBzcvMVzVIGFYGWRnq5ybHYSjyGIYAczaQRycWA1WVAbNUhCXg5uyqUgY2sLTp1zJNuBKrlasiMrAMlutFUvCsDKoY6gHHjtw28tiGAGIIA3oNkgY2kJwPS5OkT+EWnC+Rf4gwqt126eF4bvvvlsvDHfZZRcJwxSco2rjOUXlKPkkEkiI+P7775M1kScShraQKau4NxtCWQqRP8SEI96qIS0Mp0+fXi8Mt9xySwnDFGQj494UNrTKOoYtESyGeiKyQcLQFlkM7ZDF0A7CI7KwGBJGRAwudVXTwhDXqYRhHYhnJWfaQYiWLIYRwOCgJ30bJAxtIURCMYY24N5sTtytaDpYZ6sVK4xBGAUQhhTZLxSGPFBJGNbFGCoG3w7i92UxjACeiJR1ZYOEoS3Eqygr2QZcktW6N0VlYJnNIisZYYignzVrVgNhiBCSMKyDrGTEirCBwu0ShhHA4CBTuQ0ShrbgbsMlJvIHIYElS+QP4whCvBokDCsDw4nqGNqhOoaRQMdXcK0NEoa2cIOr9gYqKgMRLpebDQiVameZkTCsDCyGWLGEDZr5JBKIMZQLyAYJQ1u4gXLORf5wnmVZsYHwiGoTfSQMK4OqHYqdtYP4VlkMI0DC0A4JQ1sIkZAwtIEkH4Wk2IAVXMLQBoSh5gC3g74nYRgBciXbIWFoC4OMXMk2yJVsR9au5CVLltQLw\/XXX1\/CMAWuZE0Za4dcyZHA4KAnfRskDG1R8okdCAkln9jAOFJttn0Qhlh6ET5BGLJQvkzCsA4ln9ii5JNIoOPricgGCUNbCJFQuRobVK7Gjl9++SWzcjXFhCHz1VKwXMJQ5WqswXspi2EEqMC1HRKGtqjAtR24JDXnug1YwrOwYnEDZkyijq2EYXFU4NoW+p6EYQTw1KgB3QYJQ1s0JZ4dmhLPDh52EIfVwg2Y64ZFLC0MWZcwrAOPmqaMtUNT4kUCWVfff\/99sibyRMLQFp70s7iBivIQXyjPgw3EhGfhtpcwLM+qVatUx9CQ5cuXy2IYA7IY2iFhaIsshnbIYmgHbntZDG2QxdAWWQwjQTGGdkgY2qIYQzsUY2hHljGGEoaNoxhDW+h7shhGAE9EBB+L\/JEwtEVZyXYoK9kOLLNZiHAJw\/IoK9kW3PYShhGgOoZ2SBjagmVFdQxtUB1DOxhHsnjgSQtDZjwJwnDOnDkShgmqY2iL6hhGAh1fM5\/YIGFoCy4gzXxiAyJcLjcbspj5BIIwpERIWhjOnj3bj1UShnUWQyWf2KGZTyKBGEPNBWmDhKEt3EC58Yn8oW\/LsmID1sIsEn24AWPpJca8UBgSm4s3qdbHKqp2kBAhbPjrX\/8qi2EMIAwVG2SDhKEtCBXOucgfCUM7shaGWHrTwnDWrFk+mUjCUMLQGgnDSMCVrDqGNkgY2iJXsh24klXdwIYsXckSho0jV7ItqmMYCUo+sUPC0BaSIVTH0AYln9iBmzeLBx4Jw\/Io+cQWJZ9EgsrV2CFhaAtWFZWrsUHlauzIslyNhGHjqFyNLSpXEwkqcG2HhKEtKnBthwpc24HbPgsvj4RheVTg2hZEuIRhBPDj15Q\/NkgY2iJXsh1kf2tKPBt42EEcVktaGPbo0aNeGE6bNk3CMAGPmkKt7NCUeJFA1pWST2yQMLQFS3gWN1BRHkS4PA82IFSycNunhWHfvn3rheFLL70kYZiwatUq1fk1RMknkcCPXy4gGyQMbcGCJYuhDbIY2oFoy9JiSImQQmFIbC5hRrIY\/pM8aobIYhgJijG0Q8LQFsUY2qEYQzsQhVlkyiIMmTKyUBi++OKLXhgiimp9rFKMoS2KMYwEfvw\/\/vhjsibyRMLQFtxtykq2QVnJdvzyyy+ZiPAgDLlu\/fr1qxeGkyZN8tdTwlBZydbgtpcwjABcyQqutUHC0BYsK9z4RP7gklQ8pw2MI1k88EgYlodzoDqGdqiOYSTQ8RVca4OEoS24gLIoBCzKgyiUy82GLGc+kTBsHCyG8qjZsWLFClkMY0BzJdshYWgLN1DOucgfzrM8DzZgLcxqrmQJw8ahakcWIlxUhuZKjgSEoTq+DRKGtiAMyZYV+UPflsvNBoRhFtMPShiWB2FIpqywgb4oYRgBciXbIWFoi1zJdsiVbEceruSBAwfWC8MnnnhCwjABVzLTtAkb5EqOBCWf2CFhaItmPrGD85yFFUuUhxJMWTzwBGGIyBw0aFC9MBw9erQX+hKGSj6xhmx7WQwjgI7\/008\/JWsiTyQMbeGGp3I1NnCeFatsA\/GFWRRd5gbMzB64SgcPHtxAGCLyJQzrLIYrV65M1kTeYJ2VxTACiDFUx7dBwtAWnj4pvCzyh\/OsWCwbEG1ZeHkQhgifUsKQ+LpYrTdWqMC1LSpwHQm4kjXljw0ShrbIlWyHpsSzIytXchCGPEClheG9997rr6WEYZ1HTaFWdsiVHAn8+L\/\/\/vtkTeSJhKEtTPWooss2IMI1taYNCJUs3PYShuXB1a7kTDuWL18ui2EMYDFkYBD5I2FoCzc3WQxtkMXQDtz2WTzwSBiWB4uhPGp2ENYgi2EEEGOoGAobJAxtYUDH7SbyB7GiB0wbEIVZZMpKGJaHGEOKLgsbyHeQMIwAnohUp8kGCUNbGNCVlWwDMW+6gdrwyy+\/ZJLoI2FYHs6PqnbYgdteruQIUB1DOyQMbcGyQp02kT+qY2hHHsknv\/\/97+uF4WWXXSZhmIDhRHUM7cDLI4thBMhiaIeEoS1YsLK4gYryIMIVkmIDQiVLiyE342HDhtULwxEjRnirpIRhncXwxx9\/TNZE3pAIK4thBBBjqMK0NkgY2oIlnHMu8gcrljwPNvCwk0WiD6KPGLpiwhDxyb5aF4aI4yymHxSVwcOlLIYRgDBUx7dBwtAWrB5ky4r8oW\/L5WYDcbNZuO2DMETQDx8+vF4Y8lrCsA6EoQq324GRSsIwAnAlq06TDRKGtvD0KVeyDbiSVcfQBkRbFg\/zjQlDtkkY1rmSFWplx4oVK+RKjgHNfGKHhKEtmvnEDiWf2JFl8omEYeNgOOFcCBtIhJLFMALo+ErHbxpLlixp1lOkhKEtWFVUrsYGzrNilW0gvjCLmpEShuXBYsj8vcIG7quyGEYAwpCikqI8ixcvdr1793YbbbSRX4455pgmWUkkDG0hNojCyyJ\/EIaKxbKBMScLK5aEYXk4BwqRsAMjlYRhBHAR5AIqD0kMW2+9tTv00EN9TOb8+fNd165d3XHHHZe8ozwShrYgCpnrVOQP51nWWRtw22cxo09aGF599dX1wvDiiy+WMEwgOVP3Rzuwhsfa52pKGDKgf\/bZZ8maKMULL7zgB820C2fy5Ml+GwGzlSBhaMs333wj96YRJPpwvkX+4G777rvvkrXmkxaG99xzT70wPOmkkyQMExDgX3zxRbIm8mbmzJlejMdITQlDxMrbb7+drIlSnHvuuW6HHXZI1uqgHAoD6Z\/+9KdkS+NIGNoyY8YMXzBV5M\/y5cvd9OnTkzWRJwsXLnSff\/55stZ8gjAky3nUqFENhCEJiRKGdW77999\/P1kTefP666\/78LYYqSlhiItUHb88AwYMcIccckiyVgcduFOnTu6WW25JtjSOhKEts2fPVqkJIxDgs2bNStZEnixatMjNmzcvWWs+iD7q9PGAy\/zIhcKQxItaF4aUYcIzJGzASCVhGAlYVkTj7Lfffu74449P1lZDnOFNN92UrJXn8ssvT16JvMG1yU1P5A+ux6+\/\/jpZE3lCsuDSpUuTteYThCFxXYXCkJAZCcO6GHweMIUNiHD6ZIw0WxjOnTvXTZw4sUUtTzzxhLviiiuK7tOyeunRo4fr1atXg23PPPNMfXZyenupZdy4cd7ySLti+7Vku4wcOdKNHj266D4t2S4IC853sX1asl3uvPNO76Uotq8pC+PQU0895R599FF3yimn1AvDvffe2z388MPuySefrPmx6rHHHnNXXXVV0X1asl\/uu+8+X1s5RpotDIn7mDBhQotaHn\/8cXfZZZcV3adl9bL\/\/vu7bt26+c4bto0dO9YPpGeffXaD95ZaONe4oxmMi+3Xku1y\/fXX+9ipYvu0ZLuQvMD5LrZPS7bLHXfc4b0UxfY1ZWEcIj4aEXjyySfXC8O99trLPfDAA95oUOtj1SOPPOINJ8X2acl+4UG+1QnDlopcyeVhgNhwww2TtToofMpA2pRsTLmS7ZAr2Q65ku2grl6eruTBgwfLlZzA\/z9nzpxkTeRNq3Qlt0SUfFIZxPW0adPG3XDDDX79t99+cwMHDnQ777xzxen1Sj6xRckndij5xI6sk08kDEuj5BNblHwSCYiVd955J1kTjUEtQ8Thjjvu6Lp37+4222yzJllJJAxtUbkaO1Suxg7K1WRRWy8tDAlzCcLwsMMOkzBMULkaW9544w0JwxhQgeumwawnxN4899xzvv5XU5AwtEUFru1QgWs7sixwjTBE\/Dz\/\/PP1wrBfv35+ekMJQxW4tgavgwpcRwAXQTdPGyQMbUG4c85F\/nADJc5Q5A9TD2LlqxbGoSAMw8xOaWGI0aDWhSHn5+\/+7u+SNZE3f\/3rX6PtczUlDDHbkkQh8kfC0BZubsyXLPIHsaIbqA0IOQpQVwvjEOM\/cXSFwpBrSRw1dfxqGWZ\/IdlH2PDTTz9F2+dqShiSGp7FICPKI2FoCzfQf\/zHf0zWRJ5wnjnfIn+wzv793\/99stZ8gjDksyZNmtRAGOJFkjCsM5zIEm4Hsa2yGEYApnIF6NsgYWgLcW9Z3EBFebA6ybJiAyESWVhnJQzLgztdlQ3sIIlNFsMIIMYQl5vIHwlDW6hhSDkmkT+cZ9WMtIHwCIR4tUgYlgfDCVYsYQMPPLIYRgDCkIBPkT8ShrYQIsE5F\/mDe1MhKTYg5LIQ4RKG5UEYKjnTDrwOEoYRwMAgU7kNEoa28MBDUoTIH8SFHjBtQBRm4eWRMCwPJXtIiBA2ENYmV3IEkHyi4FobEIaXXnppsibyBncbNzeRP5xnWWdtwG1P7Fu1pIXhlClT6oVhz549JQwTOD9NrVcrmk\/MD\/I1bTHEJUSKvsgeRDjCkJgVlVHJH5JPwkDDzU\/kB2MGswBhyap1MZE39Okvv\/yy6izwIAz5PGYJCsJwyy239NZfCcM6i2G4P3IusqgfKYpDZYOPP\/7Yj9vEGrLEJMprNsaQH8C2227rZs6c6ddFtixevNhPpdehQwc\/nd6VV17pxaLIh3DjvOqqq\/w0XyIfiC0cMmSI69q1q+vUqZPbfvvt3fjx45O9IkuYs\/344493m2yyidt8883diSee2OwYOIQh4z\/CkDG\/UBhyo651YZhOPjnppJPcXnvt5V+L7Dn55JP9vbFLly6+b3OPPPjgg6OJOaw5VzIuIETLdttt5weG2bNnJ3tFVmAhRHRvtdVWfoqlV155xZ\/ra665JnmHyBqs39ddd50\/zwMHDky2iizB4tSnTx8\/iL\/77rvuL3\/5i7vpppv8OaePi+xgDNl6663drrvu6sdopg9j3vbdd9+9Wa5lhCHjP59bKAyx2kgY1glDxhGmQOXc9O7dO9kjsgSPw8Ybb+yuvfZat3TpUrdkyRKvSWLKf6gpYYgax6LStm1bH1vSpk0bN2fOnGSvyArmV2ZgOeWUU5Itzj366KNu3XXXzaT0hGgI9bCOPvpo17FjR9etWzdZDHPi008\/9f36pZdealBMnPOtm2i2fPLJJ65z587+nIdzPW\/ePH\/++dtU0sIQkcnnsEgYroZz9M4773hB3qNHD7fnnnsme0SWIAbpe88++2yyJT5qShjiw2cgGDdunJs\/f76\/OLIYZs+gQYP80\/3VV1+dbKkTL5zv999\/P9kisuLBBx90O+20k1u2bJkX43379k32iCzBjfn888\/7cST9gPO73\/3OP2iK7EDEcY7x8IQQFM49Y8iKFSv8elOQMKwMLLIjR470YzdeNZE9b731lmvfvr23FDJmx1gppaaEIS6IH374wb+WMMwPYlOOPPJId8MNNyRbnA9kxkKLKBfZwk0t1NUjJosSHCI\/ECsh1o1BnX6NW0hkD+KQuY3x9ODCHzNmTLKnaUgYlufuu+\/21kLOFYmDEob5cMcdd7h27dq5XXbZxfdpXhP+E1MJrJpNPiH2TcIwHwjIJ3iZJ88AZSfWW289d9999yVbRJZQhomsQgnD\/CGBASFBPBYxcCRZKYMzH8iw56a5zTbbeAH+wAMPeOHSVCQMG2fRokX+fIREqvPPP1\/CMCcQ3fQ7BCJ1I4l5ZX3vvff2cZ4x0CqFIZ2ckx8WAsQZFFiCZUXCMD94EiKDMC0MGeAZ2MeOHZtsEVlCVjLJEccdd5yEoQF4HHDfE0T+7bffJltF1iC+Q8b966+\/7sfsRx55xK83BQnD0lCqZ4899nA33nhjssW5oUOHKjwiJ3iw5H6YTqIKfXLq1KnJlrVLqxSGKHACZ8NCYH4QhlQbBwnD\/DjkkEPcAQcc0MCVzODL+WbWAZE9nF8GGlkM84fxBfcPViwCyUV+YIlNz9974IEHun333TdZq5y0MMT9H4QhS60Lw8cee8yfB+KTWc477zy3ww47+HIqvOYhSGQP8YWhz9HPuQZ\/+tOf\/PrapuZcyWF6JQnD\/KBmIYPKJZdckmxx9UVlseaK7GHqMNwQshjmC0\/2VDXgHMt9nB\/EFRKnjLUwPcvMQQcd5MVhUwnCEAvkjz\/+6MeisDBnbS0Lw2nTprnLLrvMnXXWWe6II47wbmTCgUiQOPPMMyUMM4Q+OHjwYF+lg4eUEBYRMpU\/+ugjv762UYyhhGHmzJ07159brIbAead4Z69evaKdNLylQ4wh9bEkDPOD2Qkotsz5rXYmDtE4iBXGkJtvvrl+qscPPvjAb3vmmWf8elNB+CEyievic8JCIW1ioGtVGKZBIAPz3MuVnA+HHnqof7gM2oPYcLya1P3NYvrHLKgpYZieEo+LwqAwffp0vy6y5dZbb\/UxhTzh8\/SJBXHhwoXJXpE1PPAwwAwYMMDtvPPOyVaRJaGAOLUiEYcknrBwvilZI7Lltttu87VPsRDuv\/\/+\/txfccUVyd6mg\/BDAP7888\/1opCFdQnDOoGCaIbTTjvNPwSJ7KGiASFu1Ok86qijfEgKr5tTnzMvakoYYsbFsgI88b\/xxhtyB+UEJvITTjjBJ6Dcf\/\/93l0j8oOyHgzsn332mS8KLLIHSzhjBoVp\/\/jHP7qJEyf6hXVmQhHZQzwnscqIxGq9OxKGjYPhJMzX+9VXX7nJkyf71yJ7sAwS20kZJpKpgi6JhZq1GIp8YaAdMWJEsibyBoshmW4if3joSce9ifzgBpqVe03CsHHSFkORP7GJwTQ1F2NIBprIH26cxKmE4FqRL5RhIrBe5A\/nOZS9EvmCJZzEqiyQMGwcYpRjKrLc2sGLFmvMfc25ktOlD0R+SBjaQkgENzeRP5znrMSKaBwyN9PTD1aDhGHj4FHTA48dJLNJGEYA5TxCHUORLxKGtmAJz+oGKhqH+GTFzNpAzBs30CxA+JF1y7VjPnFmmuBvrZerCeCyV6iVHcuXL4+2z9WcxVBPRDbgbqM4qoShDYiVUGpC5AvnWeVqbGAcySp2FusMpW+oZctsNWSB8pd1ttd6KS0shjHHvbU28F7KYhgBshjawUB7zz33SBgagcVQySc2YJmVxdCGLC2G3IS5B3D9cB+vWLHC\/2Wd7bUuDEk+kcXQDlkMhRBCiLUID6l4jXCZ8hBFXG6Ys5bteogVog4JQyGEEDVBEIdYCMnC5a9EoRANkTAUQghRMyACcRuHRaJQiIZIGAohhBBCCI+EoRBCCCGE8EgYCiGEEEIIj4ShEEIIIYTwSBgKIYQQQgiPhKEQQgghhPBIGAohhBBCCI+EoRBCCCGE8EgYCiGEEEIIj4ShEEIIIYTwSBgKIYQQQgiPhKEQQgghhPBIGAohhBBCCI+EoRBCCCGE8EgYCiGEEEIIj4ShEEIIIYTwSBgKIYQQQgiPhKEQQgghhPBIGAohhBBCCI+EoRBCCCGE8EgYCiGEEEIIj4ShEEIIIYTwSBgKIYQQQgiPhKEQQgghhPBIGAohhBBCCI+EoRBCCCGE8EgYCiGEEEIIj4ShEEIIIYTwSBgKIYQQQgiPhKEQQgghhPhnnPv\/gcIR5pXCn4gAAAAASUVORK5CYII=\" style=\"z-index: 100;width: 4.61458in;height: 3.29931in;width: 4.61458in;\" title=\"\" alt=\"\"\/><\/div><p class=\"P415\"\/><p class=\"P417\">&nbsp;<\/p><p class=\"P418\">&nbsp;<\/p><p class=\"P419\">&nbsp;<\/p><h2 class=\"P420\">&nbsp;<\/h2><h2 class=\"P421\">&nbsp;<\/h2><h2 class=\"P422\">&nbsp;<\/h2><h2 class=\"P423\">&nbsp;<\/h2><h2 class=\"P424\">&nbsp;<\/h2><p class=\"P425\">&nbsp;<\/p><p class=\"P426\">&nbsp;<\/p><p class=\"P427\">&nbsp;<\/p><h1 class=\"P428\"><span id=\"_Toc384325768\"\/><span>Opgaver<\/span><\/h1><p class=\"P429\"><span>Den gennemg\u00e5ede teori vil jeg nu benytte til at l\u00f8se en r\u00e6kke opgaver, der hovedsageligt drejer sig om eksponentielle funktioner.<\/span>&#x200b;&#x200b;&nbsp;<\/p><h2 class=\"P430\"><span id=\"_Toc384325769\"\/><span>Opgave 1<\/span><\/h2><p class=\"P431\"><span>Der er foretaget tre s\u00e6t m\u00e5linger. Ved hj\u00e6lp af Excel skal du nu unders\u00f8ge, om det enkelte s\u00e6t m\u00e5leresultater repr\u00e6senterer en line\u00e6r, en parabelformet eller en eksponentiel v\u00e6kst.<\/span>&#x200b;&#x200b;&nbsp;<\/p><ul class=\"LFO7\" style=\"counter-reset: ulLFO7_1 1;\"><li style=\"color: initial; font-family: initial;\" class=\"removeBullet\"><ul style=\"counter-reset: ulLFO7_2 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P432\"><span>Observationer: (2,10), (4,13), (9,25) og (12,33)<\/span><\/p><\/li><\/ul><\/li><\/ul><p class=\"P433\"><span class=\"T434\"><span><div id=\"chart-6a48707fcc374933076753\" style=\"z-index: 100;height: 2.35417in;width: 6.625in;\"> <\/div><\/span><\/span><\/p><p class=\"P435\"><span class=\"T436\">Denne udvikling er parabelformet, da R<\/span><span class=\"T437\">2<\/span><span class=\"T438\">&#x200b;&#x200b;&nbsp;er t\u00e6ttest p\u00e5 1, n\u00e5r tendenslinjen er polynomisk.<\/span><span class=\"T439\">&#x200b;&#x200b;&nbsp;Funktionen bliver<\/span><span class=\"T440\">&#x200b;&#x200b;&nbsp;s\u00e5<\/span><span class=\"T441\">, som Excel viser,<\/span><span class=\"T442\">&#x200b;&#x200b;&nbsp;en andengradsfunktion<\/span><span class=\"T443\">&#x200b;&#x200b;&nbsp;der ser s\u00e5ledes ud:<\/span><span class=\"T444\">&#x200b;&#x200b;&nbsp;0,0672x<\/span><span class=\"T445\">2<\/span><span class=\"T446\">&#x200b;&#x200b;&nbsp;+ 1,3935x + 6,7285<\/span><span class=\"T447\">.<\/span><span class=\"T448\">&#x200b;&#x200b;&nbsp;<\/span><\/p><ul class=\"LFO7\" style=\"counter-reset: ulLFO7_1 1;\"><li style=\"color: initial; font-family: initial;\" class=\"removeBullet\"><ul style=\"counter-reset: ulLFO7_2 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P449\"><span>Observationer: (1,49, (5,3), (8;2,6) og (11,2)<\/span><\/p><\/li><\/ul><\/li><\/ul><p class=\"P450\"><span class=\"T451\"><span><div id=\"chart-6a48707fcc4fc338268099\" style=\"z-index: 100;height: 2.65625in;width: 6.625in;\"> <\/div><\/span><\/span><\/p><p class=\"P452\"><span class=\"T453\">Her viser udviklingen sig ogs\u00e5 at v\u00e6re polynomisk, da det er her at R<\/span><span class=\"T454\">2<\/span><span class=\"T455\">&#x200b;&#x200b;&nbsp;er t\u00e6ttest p\u00e5 1. Funktionen kommer her til at hedde 0,0051x<\/span><span class=\"T456\">2<\/span><span class=\"T457\">&#x200b;&#x200b;&nbsp;- 0,2555 + 4,2302.<\/span><\/p><ul class=\"LFO7\" style=\"counter-reset: ulLFO7_1 1;\"><li style=\"color: initial; font-family: initial;\" class=\"removeBullet\"><ul style=\"counter-reset: ulLFO7_2 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P458\"><span>Observationer: (2;1,22), (4;4,78), (8;19,2) og (12,43)<\/span>&#x200b;&#x200b;&nbsp;<\/p><\/li><\/ul><\/li><\/ul><p class=\"P459\"><span class=\"T460\"><span><div id=\"chart-6a48707fcc5ec161504730\" style=\"z-index: 100;height: 3.14583in;width: 6.73958in;\"> <\/div><\/span><\/span><\/p><p class=\"P461\"><span class=\"T462\">Igen er udviklingen er parabel, da det er ved en polynomisk udviklingen at R<\/span><span class=\"T463\">2<\/span><span class=\"T464\">&#x200b;&#x200b;&nbsp;er t\u00e6ttest p\u00e5 1. Vores andengradsfunktion kommer her til at hedde: 0,2963x<\/span><span class=\"T465\">2<\/span><span class=\"T466\">&#x200b;&#x200b;&nbsp;+ 0,0329x - 0,0523.<\/span><\/p><p class=\"P467\">&nbsp;<\/p><h2 class=\"P468\"><span id=\"_Toc384325770\"\/><span>Opgave 2<\/span><\/h2><p class=\"P469\"><span>Vi skal herefter se n\u00e6rmere p\u00e5 l\u00f8nudviklingen for ungarbejdere i \u00e5rene 2006-2011:<\/span><\/p><div class=\"dxoResponsiveTable\"><table class=\"Table470\"><colgroup><col class=\" TableColumn471\" data-colwidth=\"1.0597\" data-colwidthunits=\"in\"\/><col class=\" TableColumn472\" data-colwidth=\"0.8798\" data-colwidthunits=\"in\"\/><col class=\" TableColumn473\" data-colwidth=\"0.9701\" data-colwidthunits=\"in\"\/><col class=\" TableColumn474\" data-colwidth=\"0.9701\" data-colwidthunits=\"in\"\/><col class=\" TableColumn475\" data-colwidth=\"0.9701\" data-colwidthunits=\"in\"\/><col class=\" TableColumn476\" data-colwidth=\"0.9701\" data-colwidthunits=\"in\"\/><col class=\" TableColumn477\" data-colwidth=\"0.9701\" data-colwidthunits=\"in\"\/><\/colgroup><tr class=\"TableRow478\"><td class=\"TableCell479\"><p class=\"P480\"><span>\u00c5r<\/span><\/p><\/td><td class=\"TableCell481\"><p class=\"P482\"><span>2008<\/span><\/p><\/td><td class=\"TableCell483\"><p class=\"P484\"><span>2009<\/span><\/p><\/td><td class=\"TableCell485\"><p class=\"P486\"><span>2010<\/span><\/p><\/td><td class=\"TableCell487\"><p class=\"P488\"><span>2011<\/span><\/p><\/td><td class=\"TableCell489\"><p class=\"P490\"><span>2012<\/span><\/p><\/td><td class=\"TableCell491\"><p class=\"P492\"><span>2013<\/span><\/p><\/td><\/tr><tr class=\"TableRow493\"><td class=\"TableCell494\"><p class=\"P495\"><span>L\u00f8n i kr.\/time<\/span><\/p><\/td><td class=\"TableCell496\"><p class=\"P497\"><span>115,20<\/span><\/p><\/td><td class=\"TableCell498\"><p class=\"P499\"><span>122,50<\/span><\/p><\/td><td class=\"TableCell500\"><p class=\"P501\"><span>125,10<\/span><\/p><\/td><td class=\"TableCell502\"><p class=\"P503\"><span>135,43<\/span><\/p><\/td><td class=\"TableCell504\"><p class=\"P505\"><span>143,43<\/span><\/p><\/td><td class=\"TableCell506\"><p class=\"P507\"><span>146,89<\/span><\/p><\/td><\/tr><\/table><\/div><p class=\"P508\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 0;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;font-style: italic;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P509\"><span>Afbild punkterne i et koordinatsystem<\/span>&#x200b;&#x200b;&nbsp;<\/p><\/li><\/ul><p class=\"P510\"><span class=\"T511\"><span><div id=\"chart-6a48707fcc76c014089695\" style=\"z-index: 100;height: 2.10417in;width: 5.23958in;\"> <\/div><\/span><\/span><\/p><p class=\"P512\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 1;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;font-style: italic;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P513\"><span>G\u00f8r rede for om l\u00f8nudviklingen kan beskrives som en eksponentiel voksende udvikling<\/span><\/p><\/li><\/ul><p class=\"P514\"><span class=\"T515\">Da R<\/span><span class=\"T516\">2<\/span><span class=\"T517\">&#x200b;&#x200b;&nbsp;er over 0,7<\/span><span class=\"T518\">(og dermed t\u00e6t p\u00e5 1)<\/span><span class=\"T519\">&#x200b;&#x200b;&nbsp;er der tale om en tiln\u00e6rmelsesvis eksponentiel udvikling<\/span><\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 2;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;font-family: Calibri;font-style: italic;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P520\"><span>Bestem ud fra to passende valgte punkter forskriften for eksponentialfunktionen<\/span><\/p><\/li><\/ul><p class=\"P521\">&nbsp;<\/p><p class=\"P522\"><span>(0;115,2) og (1;122,5)<\/span><\/p><p class=\"P523\">&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P524\"><span class=\"T525\">a =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mroot><mml:mrow><mml:mfrac><mml:mrow><mml:mn>122,5<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>115,2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><mml:mrow><mml:mn>1<\/mml:mn><mml:mo>-<\/mml:mo><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:mroot><\/mml:math><\/span><\/span><span class=\"T526\">&#x200b;&#x200b;&nbsp;= 1,0634&#x200b;&#x200b;&nbsp;<\/span><span class=\"T527\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P528\"><span>\u00a0<\/span><\/p><p class=\"P529\"><span class=\"T530\">b = 115,2 * 1,0634<\/span><span class=\"T531\">-0<\/span><span class=\"T532\">&#x200b;&#x200b;&nbsp;= 115,2<\/span><\/p><p class=\"P533\">&nbsp;<\/p><p class=\"P534\"><span class=\"T535\">f(x) =&#x200b;&#x200b;&nbsp;<\/span><span class=\"T536\">115,2 * 1,0634<\/span><span class=\"T537\">x<\/span><\/p><p class=\"P538\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 3;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P539\"><span>Sammenlign din forskrift med den Excel n\u00e5r frem til. Hvorfor er der forskel?<\/span><\/p><\/li><\/ul><p class=\"P540\"><span>Der er forskel, da den forskrift Excel har lavet er ud fra alle punkterne.<\/span><\/p><p class=\"P541\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 4;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P542\"><span>Hvad er timel\u00f8nnen i 2020?<\/span><\/p><\/li><\/ul><p class=\"P543\"><span class=\"T544\">f(x) = 115,2 * 1,0634<\/span><span class=\"T545\">12<\/span><span class=\"T546\">&#x200b;&#x200b;&nbsp;= 240,87 kr.<\/span><\/p><p class=\"P547\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 5;\"><li style=\"color: initial; font-family: initial;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;hyphenate: false;font-family: Times New Roman;font-size: 12pt;hyphenate: false;margin-top: 0.0694in !important;margin-bottom: 0.0694in !important;line-height: 1 !important;text-align: justify !important;margin-top: 0in !important;margin-bottom: 0in !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P548\"><span class=\"T549\">Hvorn\u00e5r vil timel\u00f8nnen v\u00e6re 170 kr.\u00a0?<\/span><\/p><\/li><\/ul><p class=\"P550\"><span class=\"T551\">170 = 115,2*1,0634<\/span><span class=\"T552\">x<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P553\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>170<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>115,2<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi>\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T554\">&#x200b;&#x200b;&nbsp;= 1,0634<\/span><span class=\"T555\">x<\/span><span class=\"T556\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P557\"><span class=\"T558\">1,4757 = 1,0634<\/span><span class=\"T559\">x<\/span><\/p><p class=\"P560\"><span class=\"T561\">LOG(1,0634<\/span><span class=\"T562\">x<\/span><span class=\"T563\">) = LOG(1,4757)<\/span><\/p><p class=\"P564\"><span>x * LOG(1,0634) = LOG(1,4757)<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P565\"><span class=\"T566\">x =&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>L<\/mml:mi><mml:mi>O<\/mml:mi><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1,4757<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>L<\/mml:mi><mml:mi>O<\/mml:mi><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1,0634<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T567\">&#x200b;&#x200b;&nbsp;= 6,33 \u00e5r<\/span><\/p><p class=\"P568\">&nbsp;<\/p><ul class=\"LFO1\" style=\"counter-reset: ulLFO1_1 6;\"><li style=\"color: initial; font-family: initial;hyphenate: false;hyphenate: false;font-style: italic;font-size: 12pt;mleft: 0.5in !important;text-align: justify !important;\"><p style=\"display: table-cell;margin-left:0 !important;text-indent: 0 !important;\" class=\"P569\"><span>Hvorn\u00e5r vil timel\u00f8nnen v\u00e6re fordoblet?<\/span><\/p><\/li><\/ul><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P570\"><span class=\"T571\">x &#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>1,0634<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T572\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T573\">= 11,28&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mo>\u2248<\/mml:mo><\/mml:math><\/span><\/span><span class=\"T574\">&#x200b;&#x200b;&nbsp;12 \u00e5r.<\/span><\/p><p class=\"P575\">&nbsp;<\/p><\/div><\/section><script>(function( $ ) {\n    \/\/footnotes\n    $('.defaultNote').children(\":first\").css('cursor', 'pointer');\n    $('.defaultNote').children(\":first\").click(function(){\n        var gotoID = '#' + $(this).parent().attr('id');\n        $('html, body').animate(\n            {\n              scrollTop: $('a[href=\"' + gotoID + '\"]').offset().top - 60,\n            },\n            250,\n            'linear'\n          )\n    });\n}(jQuery));\n\n\n<\/script><style>\/*-- Chart --*\/\n\n\ndiv#h5p_6a48707fc6b9f  .h5p_page .c3 svg {\n  font: 10px 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b,c=this,d=c.config;a=a||{},a.withTransition=t(a,\"withTransition\",!0),a.withTransform=t(a,\"withTransform\",!1),a.withLegend=t(a,\"withLegend\",!1),a.withUpdateXDomain=!0,a.withUpdateOrgXDomain=!0,a.withTransitionForExit=!1,a.withTransitionForTransform=t(a,\"withTransitionForTransform\",a.withTransition),c.updateSizes(),a.withLegend&&d.legend_show||(b=c.generateAxisTransitions(a.withTransitionForAxis?d.transition_duration:0),c.updateScales(),c.updateSvgSize(),c.transformAll(a.withTransitionForTransform,b)),c.redraw(a,b)},f.redrawWithoutRescale=function(){this.redraw({withY:!1,withSubchart:!1,withEventRect:!1,withTransitionForAxis:!1})},f.isTimeSeries=function(){return\"timeseries\"===this.config.axis_x_type},f.isCategorized=function(){return this.config.axis_x_type.indexOf(\"categor\")>=0},f.isCustomX=function(){var a=this,b=a.config;return!a.isTimeSeries()&&(b.data_x||s(b.data_xs))},f.isTimeSeriesY=function(){return\"timeseries\"===this.config.axis_y_type},f.getTranslate=function(a){var b,c,d=this,e=d.config;return\"main\"===a?(b=p(d.margin.left),c=p(d.margin.top)):\"context\"===a?(b=p(d.margin2.left),c=p(d.margin2.top)):\"legend\"===a?(b=d.margin3.left,c=d.margin3.top):\"x\"===a?(b=0,c=e.axis_rotated?0:d.height):\"y\"===a?(b=0,c=e.axis_rotated?d.height:0):\"y2\"===a?(b=e.axis_rotated?0:d.width,c=e.axis_rotated?1:0):\"subx\"===a?(b=0,c=e.axis_rotated?0:d.height2):\"arc\"===a&&(b=d.arcWidth\/2,c=d.arcHeight\/2),\"translate(\"+b+\",\"+c+\")\"},f.initialOpacity=function(a){return null!==a.value&&this.withoutFadeIn[a.id]?1:0},f.initialOpacityForCircle=function(a){return null!==a.value&&this.withoutFadeIn[a.id]?this.opacityForCircle(a):0},f.opacityForCircle=function(a){var b=this.config.point_show?1:0;return j(a.value)?this.isScatterType(a)?.5:b:0},f.opacityForText=function(){return 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c,d,e,f=this;b&&b.axisX?c=b.axisX:(c=f.main.select(\".\"+i.axisX),a&&(c=c.transition())),b&&b.axisY?d=b.axisY:(d=f.main.select(\".\"+i.axisY),a&&(d=d.transition())),b&&b.axisY2?e=b.axisY2:(e=f.main.select(\".\"+i.axisY2),a&&(e=e.transition())),(a?f.main.transition():f.main).attr(\"transform\",f.getTranslate(\"main\")),c.attr(\"transform\",f.getTranslate(\"x\")),d.attr(\"transform\",f.getTranslate(\"y\")),e.attr(\"transform\",f.getTranslate(\"y2\")),f.main.select(\".\"+i.chartArcs).attr(\"transform\",f.getTranslate(\"arc\"))},f.transformAll=function(a,b){var c=this;c.transformMain(a,b),c.config.subchart_show&&c.transformContext(a,b),c.legend&&c.transformLegend(a)},f.updateSvgSize=function(){var a=this,b=a.svg.select(\".c3-brush 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b=this;a||(b.config.axis_rotated?(b.axes.x.call(b.xAxis),b.axes.subx.call(b.subXAxis)):(b.axes.y.call(b.yAxis),b.axes.y2.call(b.y2Axis))),b.updateSizes(),b.updateScales(),b.updateSvgSize(),b.transformAll(!1)},f.observeInserted=function(b){var c=this,d=new MutationObserver(function(e){e.forEach(function(e){\"childList\"===e.type&&e.previousSibling&&(d.disconnect(),c.intervalForObserveInserted=a.setInterval(function(){b.node().parentNode&&(a.clearInterval(c.intervalForObserveInserted),c.updateDimension(),c.config.oninit.call(c),c.redraw({withTransform:!0,withUpdateXDomain:!0,withUpdateOrgXDomain:!0,withTransition:!1,withTransitionForTransform:!1,withLegend:!0}),b.transition().style(\"opacity\",1))},10))})});d.observe(b.node(),{attributes:!0,childList:!0,characterData:!0})},f.generateResize=function(){function a(){b.forEach(function(a){a()})}var b=[];return a.add=function(a){b.push(a)},a},f.endall=function(a,b){var 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0,data_columns:void 0,data_mimeType:void 0,data_keys:void 0,data_empty_label_text:\"\",subchart_show:!1,subchart_size_height:60,subchart_onbrush:function(){},color_pattern:[],color_threshold:{},legend_show:!0,legend_hide:!1,legend_position:\"bottom\",legend_inset_anchor:\"top-left\",legend_inset_x:10,legend_inset_y:0,legend_inset_step:void 0,legend_item_onclick:void 0,legend_item_onmouseover:void 0,legend_item_onmouseout:void 0,legend_equally:!1,axis_rotated:!1,axis_x_show:!0,axis_x_type:\"indexed\",axis_x_localtime:!0,axis_x_categories:[],axis_x_tick_centered:!1,axis_x_tick_format:void 0,axis_x_tick_culling:{},axis_x_tick_culling_max:10,axis_x_tick_count:void 0,axis_x_tick_fit:!0,axis_x_tick_values:null,axis_x_tick_rotate:0,axis_x_tick_outer:!0,axis_x_tick_multiline:!0,axis_x_tick_width:null,axis_x_max:void 0,axis_x_min:void 0,axis_x_padding:{},axis_x_height:void 0,axis_x_extent:void 0,axis_x_label:{},axis_y_show:!0,axis_y_type:void 0,axis_y_max:void 0,axis_y_min:void 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0,pie_label_threshold:.05,pie_expand:!0,gauge_label_show:!0,gauge_label_format:void 0,gauge_expand:!0,gauge_min:0,gauge_max:100,gauge_units:void 0,gauge_width:void 0,donut_label_show:!0,donut_label_format:void 0,donut_label_threshold:.05,donut_width:void 0,donut_expand:!0,donut_title:\"\",regions:[],tooltip_show:!0,tooltip_grouped:!0,tooltip_format_title:void 0,tooltip_format_name:void 0,tooltip_format_value:void 0,tooltip_position:void 0,tooltip_contents:function(a,b,c,d){return this.getTooltipContent?this.getTooltipContent(a,b,c,d):\"\"},tooltip_init_show:!1,tooltip_init_x:0,tooltip_init_position:{top:\"0px\",left:\"50px\"}};return Object.keys(this.additionalConfig).forEach(function(b){a[b]=this.additionalConfig[b]},this),a},f.additionalConfig={},f.loadConfig=function(a){function b(){var a=d.shift();return a&&c&&\"object\"==typeof c&&a in c?(c=c[a],b()):a?void 0:c}var c,d,e,f=this.config;Object.keys(f).forEach(function(g){c=a,d=g.split(\"_\"),e=b(),n(e)&&(f[g]=e)})},f.getScale=function(a,b,c){return(c?this.d3.time.scale():this.d3.scale.linear()).range([a,b])},f.getX=function(a,b,c,d){var e,f=this,g=f.getScale(a,b,f.isTimeSeries()),h=c?g.domain(c):g;f.isCategorized()?(d=d||function(){return 0},g=function(a,b){var c=h(a)+d(a);return b?c:Math.ceil(c)}):g=function(a,b){var c=h(a);return b?c:Math.ceil(c)};for(e in h)g[e]=h[e];return g.orgDomain=function(){return h.domain()},f.isCategorized()&&(g.domain=function(a){return arguments.length?(h.domain(a),g):(a=this.orgDomain(),[a[0],a[1]+1])}),g},f.getY=function(a,b,c){var d=this.getScale(a,b,this.isTimeSeriesY());return c&&d.domain(c),d},f.getYScale=function(a){return\"y2\"===this.getAxisId(a)?this.y2:this.y},f.getSubYScale=function(a){return\"y2\"===this.getAxisId(a)?this.subY2:this.subY},f.updateScales=function(){var 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c=this,d=c.config,e=c.d3.svg.area(),f=c.generateGetAreaPoints(a,b),g=b?c.getSubYScale:c.getYScale,h=function(a){return(b?c.subxx:c.xx).call(c,a)},i=function(a,b){return d.data_groups.length>0?f(a,b)[0][1]:g.call(c,a.id)(c.getAreaBaseValue(a.id))},j=function(a,b){return d.data_groups.length>0?f(a,b)[1][1]:g.call(c,a.id)(a.value)};return e=d.axis_rotated?e.x0(i).x1(j).y(h):e.x(h).y0(i).y1(j),d.line_connectNull||(e=e.defined(function(a){return null!==a.value})),function(a){var b,f=d.line_connectNull?c.filterRemoveNull(a.values):a.values,g=0,h=0;return c.isAreaType(a)?(c.isStepType(a)&&(f=c.convertValuesToStep(f)),b=e.interpolate(c.getInterpolate(a))(f)):(f[0]&&(g=c.x(f[0].x),h=c.getYScale(a.id)(f[0].value)),b=d.axis_rotated?\"M \"+h+\" \"+g:\"M \"+g+\" \"+h),b?b:\"M 0 0\"}},f.getAreaBaseValue=function(){return 0},f.generateGetAreaPoints=function(a,b){var c=this,d=c.config,e=a.__max__+1,f=c.getShapeX(0,e,a,!!b),g=c.getShapeY(!!b),h=c.getShapeOffset(c.isAreaType,a,!!b),i=b?c.getSubYScale:c.getYScale;return function(a,b){var e=i.call(c,a.id)(0),j=h(a,b)||e,k=f(a),l=g(a);return d.axis_rotated&&(0<a.value&&e>l||a.value<0&&l>e)&&(l=e),[[k,j],[k,l-(e-j)],[k,l-(e-j)],[k,j]]}},f.updateCircle=function(){var a=this;a.mainCircle=a.main.selectAll(\".\"+i.circles).selectAll(\".\"+i.circle).data(a.lineOrScatterData.bind(a)),a.mainCircle.enter().append(\"circle\").attr(\"class\",a.classCircle.bind(a)).attr(\"r\",a.pointR.bind(a)).style(\"fill\",a.color),a.mainCircle.style(\"opacity\",a.initialOpacityForCircle.bind(a)),a.mainCircle.exit().remove()},f.redrawCircle=function(a,b,c){var d=this.main.selectAll(\".\"+i.selectedCircle);return[(c?this.mainCircle.transition():this.mainCircle).style(\"opacity\",this.opacityForCircle.bind(this)).style(\"fill\",this.color).attr(\"cx\",a).attr(\"cy\",b),(c?d.transition():d).attr(\"cx\",a).attr(\"cy\",b)]},f.circleX=function(a){return a.x||0===a.x?this.x(a.x):null},f.updateCircleY=function(){var a,b,c=this;c.config.data_groups.length>0?(a=c.getShapeIndices(c.isLineType),b=c.generateGetLinePoints(a),c.circleY=function(a,c){return b(a,c)[0][1]}):c.circleY=function(a){return c.getYScale(a.id)(a.value)}},f.getCircles=function(a,b){var c=this;return(b?c.main.selectAll(\".\"+i.circles+c.getTargetSelectorSuffix(b)):c.main).selectAll(\".\"+i.circle+(j(a)?\"-\"+a:\"\"))},f.expandCircles=function(a,b,c){var d=this,e=d.pointExpandedR.bind(d);c&&d.unexpandCircles(),d.getCircles(a,b).classed(i.EXPANDED,!0).attr(\"r\",e)},f.unexpandCircles=function(a){var b=this,c=b.pointR.bind(b);b.getCircles(a).filter(function(){return b.d3.select(this).classed(i.EXPANDED)}).classed(i.EXPANDED,!1).attr(\"r\",c)},f.pointR=function(a){var b=this,c=b.config;return b.isStepType(a)?0:k(c.point_r)?c.point_r(a):c.point_r},f.pointExpandedR=function(a){var b=this,c=b.config;return c.point_focus_expand_enabled?c.point_focus_expand_r?c.point_focus_expand_r:1.75*b.pointR(a):b.pointR(a)},f.pointSelectR=function(a){var b=this,c=b.config;return c.point_select_r?c.point_select_r:4*b.pointR(a)},f.isWithinCircle=function(a,b){var c=this.d3,d=c.mouse(a),e=c.select(a),f=+e.attr(\"cx\"),g=+e.attr(\"cy\");return Math.sqrt(Math.pow(f-d[0],2)+Math.pow(g-d[1],2))<b},f.isWithinStep=function(a,b){return Math.abs(b-this.d3.mouse(a)[1])<30},f.initBar=function(){var a=this;a.main.select(\".\"+i.chart).append(\"g\").attr(\"class\",i.chartBars)},f.updateTargetsForBar=function(a){var b,c,d=this,e=d.config,f=d.classChartBar.bind(d),g=d.classBars.bind(d),h=d.classFocus.bind(d);b=d.main.select(\".\"+i.chartBars).selectAll(\".\"+i.chartBar).data(a).attr(\"class\",function(a){return f(a)+h(a)}),c=b.enter().append(\"g\").attr(\"class\",f).style(\"opacity\",0).style(\"pointer-events\",\"none\"),c.append(\"g\").attr(\"class\",g).style(\"cursor\",function(a){return e.data_selection_isselectable(a)?\"pointer\":null})},f.updateBar=function(a){var b=this,c=b.barData.bind(b),d=b.classBar.bind(b),e=b.initialOpacity.bind(b),f=function(a){return b.color(a.id)};b.mainBar=b.main.selectAll(\".\"+i.bars).selectAll(\".\"+i.bar).data(c),b.mainBar.enter().append(\"path\").attr(\"class\",d).style(\"stroke\",f).style(\"fill\",f),b.mainBar.style(\"opacity\",e),b.mainBar.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawBar=function(a,b){return[(b?this.mainBar.transition():this.mainBar).attr(\"d\",a).style(\"fill\",this.color).style(\"opacity\",1)]},f.getBarW=function(a,b){var c=this,d=c.config,e=\"number\"==typeof d.bar_width?d.bar_width:b?2*a.tickOffset()*d.bar_width_ratio\/b:0;return d.bar_width_max&&e>d.bar_width_max?d.bar_width_max:e},f.getBars=function(a,b){var c=this;return(b?c.main.selectAll(\".\"+i.bars+c.getTargetSelectorSuffix(b)):c.main).selectAll(\".\"+i.bar+(j(a)?\"-\"+a:\"\"))},f.expandBars=function(a,b,c){var d=this;c&&d.unexpandBars(),d.getBars(a,b).classed(i.EXPANDED,!0)},f.unexpandBars=function(a){var b=this;b.getBars(a).classed(i.EXPANDED,!1)},f.generateDrawBar=function(a,b){var c=this,d=c.config,e=c.generateGetBarPoints(a,b);return function(a,b){var c=e(a,b),f=d.axis_rotated?1:0,g=d.axis_rotated?0:1,h=\"M \"+c[0][f]+\",\"+c[0][g]+\" L\"+c[1][f]+\",\"+c[1][g]+\" L\"+c[2][f]+\",\"+c[2][g]+\" L\"+c[3][f]+\",\"+c[3][g]+\" z\";return h}},f.generateGetBarPoints=function(a,b){var c=this,d=b?c.subXAxis:c.xAxis,e=a.__max__+1,f=c.getBarW(d,e),g=c.getShapeX(f,e,a,!!b),h=c.getShapeY(!!b),i=c.getShapeOffset(c.isBarType,a,!!b),j=b?c.getSubYScale:c.getYScale;return function(a,b){var d=j.call(c,a.id)(0),e=i(a,b)||d,k=g(a),l=h(a);return c.config.axis_rotated&&(0<a.value&&d>l||a.value<0&&l>d)&&(l=d),[[k,e],[k,l-(d-e)],[k+f,l-(d-e)],[k+f,e]]}},f.isWithinBar=function(a){var b=this.d3.mouse(a),c=a.getBoundingClientRect(),d=a.pathSegList.getItem(0),e=a.pathSegList.getItem(1),f=Math.min(d.x,e.x),g=Math.min(d.y,e.y),h=c.width,i=c.height,j=2,k=f-j,l=f+h+j,m=g+i+j,n=g-j;return k<b[0]&&b[0]<l&&n<b[1]&&b[1]<m},f.initText=function(){var a=this;a.main.select(\".\"+i.chart).append(\"g\").attr(\"class\",i.chartTexts),a.mainText=a.d3.selectAll([])},f.updateTargetsForText=function(a){var b,c,d=this,e=d.classChartText.bind(d),f=d.classTexts.bind(d),g=d.classFocus.bind(d);b=d.main.select(\".\"+i.chartTexts).selectAll(\".\"+i.chartText).data(a).attr(\"class\",function(a){return e(a)+g(a)}),c=b.enter().append(\"g\").attr(\"class\",e).style(\"opacity\",0).style(\"pointer-events\",\"none\"),c.append(\"g\").attr(\"class\",f)},f.updateText=function(a){var b=this,c=b.config,d=b.barOrLineData.bind(b),e=b.classText.bind(b);b.mainText=b.main.selectAll(\".\"+i.texts).selectAll(\".\"+i.text).data(d),b.mainText.enter().append(\"text\").attr(\"class\",e).attr(\"text-anchor\",function(a){return c.axis_rotated?a.value<0?\"end\":\"start\":\"middle\"}).style(\"stroke\",\"none\").style(\"fill\",function(a){return b.color(a)}).style(\"fill-opacity\",0),b.mainText.text(function(a,c,d){return b.dataLabelFormat(a.id)(a.value,a.id,c,d)\n}),b.mainText.exit().transition().duration(a).style(\"fill-opacity\",0).remove()},f.redrawText=function(a,b,c,d){return[(d?this.mainText.transition():this.mainText).attr(\"x\",a).attr(\"y\",b).style(\"fill\",this.color).style(\"fill-opacity\",c?0:this.opacityForText.bind(this))]},f.getTextRect=function(a,b){var c,d=this.d3.select(\"body\").classed(\"c3\",!0),e=d.append(\"svg\").style(\"visibility\",\"hidden\");return e.selectAll(\".dummy\").data([a]).enter().append(\"text\").classed(b?b:\"\",!0).text(a).each(function(){c=this.getBoundingClientRect()}),e.remove(),d.classed(\"c3\",!1),c},f.generateXYForText=function(a,b,c,d){var e=this,f=e.generateGetAreaPoints(b,!1),g=e.generateGetBarPoints(b,!1),h=e.generateGetLinePoints(c,!1),i=d?e.getXForText:e.getYForText;return function(a,b){var c=e.isAreaType(a)?f:e.isBarType(a)?g:h;return i.call(e,c(a,b),a,this)}},f.getXForText=function(a,b,c){var d,e,f=this,g=c.getBoundingClientRect();return f.config.axis_rotated?(e=f.isBarType(b)?4:6,d=a[2][1]+e*(b.value<0?-1:1)):d=f.hasType(\"bar\")?(a[2][0]+a[0][0])\/2:a[0][0],null===b.value&&(d>f.width?d=f.width-g.width:0>d&&(d=4)),d},f.getYForText=function(a,b,c){var d,e=this,f=c.getBoundingClientRect();return d=e.config.axis_rotated?(a[0][0]+a[2][0]+.6*f.height)\/2:a[2][1]+(b.value<0?f.height:e.isBarType(b)?-3:-6),null!==b.value||e.config.axis_rotated||(d<f.height?d=f.height:d>this.height&&(d=this.height-4)),d},f.setTargetType=function(a,b){var c=this,d=c.config;c.mapToTargetIds(a).forEach(function(a){c.withoutFadeIn[a]=b===d.data_types[a],d.data_types[a]=b}),a||(d.data_type=b)},f.hasType=function(a,b){var c=this,d=c.config.data_types,e=!1;return b=b||c.data.targets,b&&b.length?b.forEach(function(b){var c=d[b.id];(c&&c.indexOf(a)>=0||!c&&\"line\"===a)&&(e=!0)}):Object.keys(d).length?Object.keys(d).forEach(function(b){d[b]===a&&(e=!0)}):e=c.config.data_type===a,e},f.hasArcType=function(a){return this.hasType(\"pie\",a)||this.hasType(\"donut\",a)||this.hasType(\"gauge\",a)},f.isLineType=function(a){var b=this.config,c=l(a)?a:a.id;return!b.data_types[c]||[\"line\",\"spline\",\"area\",\"area-spline\",\"step\",\"area-step\"].indexOf(b.data_types[c])>=0},f.isStepType=function(a){var b=l(a)?a:a.id;return[\"step\",\"area-step\"].indexOf(this.config.data_types[b])>=0},f.isSplineType=function(a){var b=l(a)?a:a.id;return[\"spline\",\"area-spline\"].indexOf(this.config.data_types[b])>=0},f.isAreaType=function(a){var b=l(a)?a:a.id;return[\"area\",\"area-spline\",\"area-step\"].indexOf(this.config.data_types[b])>=0},f.isBarType=function(a){var b=l(a)?a:a.id;return\"bar\"===this.config.data_types[b]},f.isScatterType=function(a){var b=l(a)?a:a.id;return\"scatter\"===this.config.data_types[b]},f.isPieType=function(a){var b=l(a)?a:a.id;return\"pie\"===this.config.data_types[b]},f.isGaugeType=function(a){var b=l(a)?a:a.id;return\"gauge\"===this.config.data_types[b]},f.isDonutType=function(a){var b=l(a)?a:a.id;return\"donut\"===this.config.data_types[b]},f.isArcType=function(a){return this.isPieType(a)||this.isDonutType(a)||this.isGaugeType(a)},f.lineData=function(a){return this.isLineType(a)?[a]:[]},f.arcData=function(a){return this.isArcType(a.data)?[a]:[]},f.barData=function(a){return this.isBarType(a)?a.values:[]},f.lineOrScatterData=function(a){return this.isLineType(a)||this.isScatterType(a)?a.values:[]},f.barOrLineData=function(a){return this.isBarType(a)||this.isLineType(a)?a.values:[]},f.initGrid=function(){var a=this,b=a.config,c=a.d3;a.grid=a.main.append(\"g\").attr(\"clip-path\",a.clipPathForGrid).attr(\"class\",i.grid),b.grid_x_show&&a.grid.append(\"g\").attr(\"class\",i.xgrids),b.grid_y_show&&a.grid.append(\"g\").attr(\"class\",i.ygrids),b.grid_focus_show&&a.grid.append(\"g\").attr(\"class\",i.xgridFocus).append(\"line\").attr(\"class\",i.xgridFocus),a.xgrid=c.selectAll([]),b.grid_lines_front||a.initGridLines()},f.initGridLines=function(){var a=this,b=a.d3;a.gridLines=a.main.append(\"g\").attr(\"clip-path\",a.clipPathForGrid).attr(\"class\",i.grid+\" \"+i.gridLines),a.gridLines.append(\"g\").attr(\"class\",i.xgridLines),a.gridLines.append(\"g\").attr(\"class\",i.ygridLines),a.xgridLines=b.selectAll([])},f.updateXGrid=function(a){var b=this,c=b.config,d=b.d3,e=b.generateGridData(c.grid_x_type,b.x),f=b.isCategorized()?b.xAxis.tickOffset():0;b.xgridAttr=c.axis_rotated?{x1:0,x2:b.width,y1:function(a){return b.x(a)-f},y2:function(a){return b.x(a)-f}}:{x1:function(a){return b.x(a)+f},x2:function(a){return b.x(a)+f},y1:0,y2:b.height},b.xgrid=b.main.select(\".\"+i.xgrids).selectAll(\".\"+i.xgrid).data(e),b.xgrid.enter().append(\"line\").attr(\"class\",i.xgrid),a||b.xgrid.attr(b.xgridAttr).style(\"opacity\",function(){return+d.select(this).attr(c.axis_rotated?\"y1\":\"x1\")===(c.axis_rotated?b.height:0)?0:1}),b.xgrid.exit().remove()},f.updateYGrid=function(){var a=this,b=a.config,c=a.yAxis.tickValues()||a.y.ticks(b.grid_y_ticks);a.ygrid=a.main.select(\".\"+i.ygrids).selectAll(\".\"+i.ygrid).data(c),a.ygrid.enter().append(\"line\").attr(\"class\",i.ygrid),a.ygrid.attr(\"x1\",b.axis_rotated?a.y:0).attr(\"x2\",b.axis_rotated?a.y:a.width).attr(\"y1\",b.axis_rotated?0:a.y).attr(\"y2\",b.axis_rotated?a.height:a.y),a.ygrid.exit().remove(),a.smoothLines(a.ygrid,\"grid\")},f.updateGrid=function(a){var b,c,d,e=this,f=e.main,g=e.config;e.grid.style(\"visibility\",e.hasArcType()?\"hidden\":\"visible\"),f.select(\"line.\"+i.xgridFocus).style(\"visibility\",\"hidden\"),g.grid_x_show&&e.updateXGrid(),e.xgridLines=f.select(\".\"+i.xgridLines).selectAll(\".\"+i.xgridLine).data(g.grid_x_lines),b=e.xgridLines.enter().append(\"g\").attr(\"class\",function(a){return i.xgridLine+(a[\"class\"]?\" \"+a[\"class\"]:\"\")}),b.append(\"line\").style(\"opacity\",0),b.append(\"text\").attr(\"text-anchor\",\"end\").attr(\"transform\",g.axis_rotated?\"\":\"rotate(-90)\").attr(\"dx\",-4).attr(\"dy\",-5).style(\"opacity\",0),e.xgridLines.exit().transition().duration(a).style(\"opacity\",0).remove(),g.grid_y_show&&e.updateYGrid(),e.ygridLines=f.select(\".\"+i.ygridLines).selectAll(\".\"+i.ygridLine).data(g.grid_y_lines),c=e.ygridLines.enter().append(\"g\").attr(\"class\",function(a){return i.ygridLine+(a[\"class\"]?\" \"+a[\"class\"]:\"\")}),c.append(\"line\").style(\"opacity\",0),c.append(\"text\").attr(\"text-anchor\",\"end\").attr(\"transform\",g.axis_rotated?\"rotate(-90)\":\"\").attr(\"dx\",g.axis_rotated?0:-e.margin.top).attr(\"dy\",-5).style(\"opacity\",0),d=e.yv.bind(e),e.ygridLines.select(\"line\").transition().duration(a).attr(\"x1\",g.axis_rotated?d:0).attr(\"x2\",g.axis_rotated?d:e.width).attr(\"y1\",g.axis_rotated?0:d).attr(\"y2\",g.axis_rotated?e.height:d).style(\"opacity\",1),e.ygridLines.select(\"text\").transition().duration(a).attr(\"x\",g.axis_rotated?0:e.width).attr(\"y\",d).text(function(a){return a.text}).style(\"opacity\",1),e.ygridLines.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawGrid=function(a){var b=this,c=b.config,d=b.xv.bind(b),e=b.xgridLines.select(\"line\"),f=b.xgridLines.select(\"text\");return[(a?e.transition():e).attr(\"x1\",c.axis_rotated?0:d).attr(\"x2\",c.axis_rotated?b.width:d).attr(\"y1\",c.axis_rotated?d:0).attr(\"y2\",c.axis_rotated?d:b.height).style(\"opacity\",1),(a?f.transition():f).attr(\"x\",c.axis_rotated?b.width:0).attr(\"y\",d).text(function(a){return a.text}).style(\"opacity\",1)]},f.showXGridFocus=function(a){var b=this,c=b.config,d=a.filter(function(a){return a&&j(a.value)}),e=b.main.selectAll(\"line.\"+i.xgridFocus),f=b.xx.bind(b);c.tooltip_show&&(b.hasType(\"scatter\")||b.hasArcType()||(e.style(\"visibility\",\"visible\").data([d[0]]).attr(c.axis_rotated?\"y1\":\"x1\",f).attr(c.axis_rotated?\"y2\":\"x2\",f),b.smoothLines(e,\"grid\")))},f.hideXGridFocus=function(){this.main.select(\"line.\"+i.xgridFocus).style(\"visibility\",\"hidden\")},f.updateXgridFocus=function(){var a=this,b=a.config;a.main.select(\"line.\"+i.xgridFocus).attr(\"x1\",b.axis_rotated?0:-10).attr(\"x2\",b.axis_rotated?a.width:-10).attr(\"y1\",b.axis_rotated?-10:0).attr(\"y2\",b.axis_rotated?-10:a.height)},f.generateGridData=function(a,b){var c,d,e,f,g=this,h=[],j=g.main.select(\".\"+i.axisX).selectAll(\".tick\").size();if(\"year\"===a)for(c=g.getXDomain(),d=c[0].getFullYear(),e=c[1].getFullYear(),f=d;e>=f;f++)h.push(new Date(f+\"-01-01 00:00:00\"));else h=b.ticks(10),h.length>j&&(h=h.filter(function(a){return(\"\"+a).indexOf(\".\")<0}));return h},f.getGridFilterToRemove=function(a){return a?function(b){var c=!1;return[].concat(a).forEach(function(a){(\"value\"in a&&b.value===a.value||\"class\"in a&&b[\"class\"]===a[\"class\"])&&(c=!0)}),c}:function(){return!0}},f.removeGridLines=function(a,b){var c=this,d=c.config,e=c.getGridFilterToRemove(a),f=function(a){return!e(a)},g=b?i.xgridLines:i.ygridLines,h=b?i.xgridLine:i.ygridLine;c.main.select(\".\"+g).selectAll(\".\"+h).filter(e).transition().duration(d.transition_duration).style(\"opacity\",0).remove(),b?d.grid_x_lines=d.grid_x_lines.filter(f):d.grid_y_lines=d.grid_y_lines.filter(f)},f.initTooltip=function(){var a,b=this,c=b.config;if(b.tooltip=b.selectChart.style(\"position\",\"relative\").append(\"div\").attr(\"class\",i.tooltipContainer).style(\"position\",\"absolute\").style(\"pointer-events\",\"none\").style(\"display\",\"none\"),c.tooltip_init_show){if(b.isTimeSeries()&&l(c.tooltip_init_x)){for(c.tooltip_init_x=b.parseDate(c.tooltip_init_x),a=0;a<b.data.targets[0].values.length&&b.data.targets[0].values[a].x-c.tooltip_init_x!==0;a++);c.tooltip_init_x=a}b.tooltip.html(c.tooltip_contents.call(b,b.data.targets.map(function(a){return b.addName(a.values[c.tooltip_init_x])}),b.getXAxisTickFormat(),b.getYFormat(b.hasArcType()),b.color)),b.tooltip.style(\"top\",c.tooltip_init_position.top).style(\"left\",c.tooltip_init_position.left).style(\"display\",\"block\")}},f.getTooltipContent=function(a,b,c,d){var e,f,g,h,j,k,l=this,m=l.config,n=m.tooltip_format_title||b,o=m.tooltip_format_name||function(a){return a},p=m.tooltip_format_value||c;for(f=0;f<a.length;f++)a[f]&&(a[f].value||0===a[f].value)&&(e||(g=n?n(a[f].x):a[f].x,e=\"<table class='\"+i.tooltip+\"'>\"+(g||0===g?\"<tr><th colspan='2'>\"+g+\"<\/th><\/tr>\":\"\")),h=p(a[f].value,a[f].ratio,a[f].id,a[f].index),void 0!==h&&(j=o(a[f].name,a[f].ratio,a[f].id,a[f].index),k=l.levelColor?l.levelColor(a[f].value):d(a[f].id),e+=\"<tr class='\"+i.tooltipName+\"-\"+a[f].id+\"'>\",e+=\"<td class='name'><span style='background-color:\"+k+\"'><\/span>\"+j+\"<\/td>\",e+=\"<td class='value'>\"+h+\"<\/td>\",e+=\"<\/tr>\"));return 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a=this,b=a.config,c=a.isTimeSeries()?a.defaultAxisTimeFormat:a.isCategorized()?a.categoryName:function(a){return 0>a?a.toFixed(0):a};return b.axis_x_tick_format&&(k(b.axis_x_tick_format)?c=b.axis_x_tick_format:a.isTimeSeries()&&(c=function(c){return c?a.axisTimeFormat(b.axis_x_tick_format)(c):\"\"})),k(c)?function(b){return c.call(a,b)}:c},f.getAxisTickValues=function(a,b){return a?a:b?b.tickValues():void 0},f.getXAxisTickValues=function(){return this.getAxisTickValues(this.config.axis_x_tick_values,this.xAxis)},f.getYAxisTickValues=function(){return this.getAxisTickValues(this.config.axis_y_tick_values,this.yAxis)},f.getY2AxisTickValues=function(){return this.getAxisTickValues(this.config.axis_y2_tick_values,this.y2Axis)},f.getAxisLabelOptionByAxisId=function(a){var b,c=this,d=c.config;return\"y\"===a?b=d.axis_y_label:\"y2\"===a?b=d.axis_y2_label:\"x\"===a&&(b=d.axis_x_label),b},f.getAxisLabelText=function(a){var b=this.getAxisLabelOptionByAxisId(a);return l(b)?b:b?b.text:null},f.setAxisLabelText=function(a,b){var c=this,d=c.config,e=c.getAxisLabelOptionByAxisId(a);l(e)?\"y\"===a?d.axis_y_label=b:\"y2\"===a?d.axis_y2_label=b:\"x\"===a&&(d.axis_x_label=b):e&&(e.text=b)},f.getAxisLabelPosition=function(a,b){var c=this.getAxisLabelOptionByAxisId(a),d=c&&\"object\"==typeof c&&c.position?c.position:b;return{isInner:d.indexOf(\"inner\")>=0,isOuter:d.indexOf(\"outer\")>=0,isLeft:d.indexOf(\"left\")>=0,isCenter:d.indexOf(\"center\")>=0,isRight:d.indexOf(\"right\")>=0,isTop:d.indexOf(\"top\")>=0,isMiddle:d.indexOf(\"middle\")>=0,isBottom:d.indexOf(\"bottom\")>=0}},f.getXAxisLabelPosition=function(){return this.getAxisLabelPosition(\"x\",this.config.axis_rotated?\"inner-top\":\"inner-right\")},f.getYAxisLabelPosition=function(){return this.getAxisLabelPosition(\"y\",this.config.axis_rotated?\"inner-right\":\"inner-top\")},f.getY2AxisLabelPosition=function(){return this.getAxisLabelPosition(\"y2\",this.config.axis_rotated?\"inner-right\":\"inner-top\")},f.getAxisLabelPositionById=function(a){return\"y2\"===a?this.getY2AxisLabelPosition():\"y\"===a?this.getYAxisLabelPosition():this.getXAxisLabelPosition()},f.textForXAxisLabel=function(){return this.getAxisLabelText(\"x\")},f.textForYAxisLabel=function(){return this.getAxisLabelText(\"y\")},f.textForY2AxisLabel=function(){return this.getAxisLabelText(\"y2\")},f.xForAxisLabel=function(a,b){var c=this;return a?b.isLeft?0:b.isCenter?c.width\/2:c.width:b.isBottom?-c.height:b.isMiddle?-c.height\/2:0},f.dxForAxisLabel=function(a,b){return a?b.isLeft?\"0.5em\":b.isRight?\"-0.5em\":\"0\":b.isTop?\"-0.5em\":b.isBottom?\"0.5em\":\"0\"},f.textAnchorForAxisLabel=function(a,b){return a?b.isLeft?\"start\":b.isCenter?\"middle\":\"end\":b.isBottom?\"start\":b.isMiddle?\"middle\":\"end\"},f.xForXAxisLabel=function(){return this.xForAxisLabel(!this.config.axis_rotated,this.getXAxisLabelPosition())},f.xForYAxisLabel=function(){return this.xForAxisLabel(this.config.axis_rotated,this.getYAxisLabelPosition())},f.xForY2AxisLabel=function(){return this.xForAxisLabel(this.config.axis_rotated,this.getY2AxisLabelPosition())},f.dxForXAxisLabel=function(){return this.dxForAxisLabel(!this.config.axis_rotated,this.getXAxisLabelPosition())},f.dxForYAxisLabel=function(){return this.dxForAxisLabel(this.config.axis_rotated,this.getYAxisLabelPosition())},f.dxForY2AxisLabel=function(){return this.dxForAxisLabel(this.config.axis_rotated,this.getY2AxisLabelPosition())},f.dyForXAxisLabel=function(){var a=this,b=a.config,c=a.getXAxisLabelPosition();return b.axis_rotated?c.isInner?\"1.2em\":-25-a.getMaxTickWidth(\"x\"):c.isInner?\"-0.5em\":b.axis_x_height?b.axis_x_height-10:\"3em\"},f.dyForYAxisLabel=function(){var a=this,b=a.getYAxisLabelPosition();return a.config.axis_rotated?b.isInner?\"-0.5em\":\"3em\":b.isInner?\"1.2em\":-10-(a.config.axis_y_inner?0:a.getMaxTickWidth(\"y\")+10)},f.dyForY2AxisLabel=function(){var a=this,b=a.getY2AxisLabelPosition();return a.config.axis_rotated?b.isInner?\"1.2em\":\"-2.2em\":b.isInner?\"-0.5em\":15+(a.config.axis_y2_inner?0:this.getMaxTickWidth(\"y2\")+15)},f.textAnchorForXAxisLabel=function(){var a=this;return a.textAnchorForAxisLabel(!a.config.axis_rotated,a.getXAxisLabelPosition())},f.textAnchorForYAxisLabel=function(){var a=this;return a.textAnchorForAxisLabel(a.config.axis_rotated,a.getYAxisLabelPosition())},f.textAnchorForY2AxisLabel=function(){var a=this;return a.textAnchorForAxisLabel(a.config.axis_rotated,a.getY2AxisLabelPosition())},f.xForRotatedTickText=function(a){return 8*Math.sin(Math.PI*(a\/180))},f.yForRotatedTickText=function(a){return 11.5-2.5*(a\/15)*(a>0?1:-1)},f.rotateTickText=function(a,b,c){a.selectAll(\".tick text\").style(\"text-anchor\",c>0?\"start\":\"end\"),b.selectAll(\".tick text\").attr(\"y\",this.yForRotatedTickText(c)).attr(\"transform\",\"rotate(\"+c+\")\").selectAll(\"tspan\").attr(\"dx\",this.xForRotatedTickText(c))},f.getMaxTickWidth=function(b,c){var d,e,f,g,h,i=this,j=i.config,k=0;return c&&i.currentMaxTickWidths[b]?i.currentMaxTickWidths[b]:(i.svg&&(d=i.filterTargetsToShow(i.data.targets),\"y\"===b?(e=i.y.copy().domain(i.getYDomain(d,\"y\")),f=i.getYAxis(e,i.yOrient,j.axis_y_tick_format,i.yAxisTickValues)):\"y2\"===b?(e=i.y2.copy().domain(i.getYDomain(d,\"y2\")),f=i.getYAxis(e,i.y2Orient,j.axis_y2_tick_format,i.y2AxisTickValues)):(e=i.x.copy().domain(i.getXDomain(d)),f=i.getXAxis(e,i.xOrient,i.xAxisTickFormat,i.xAxisTickValues),i.updateXAxisTickValues(d,f)),g=this.d3.select(\"body\").classed(\"c3\",!0),h=g.append(\"svg\").style(\"visibility\",\"hidden\"),h.append(\"g\").call(f).each(function(){i.d3.select(this).selectAll(\"text tspan\").each(function(){var a=this.getBoundingClientRect();a.left>=0&&k<a.width&&(k=a.width)})}),a.setTimeout(function(){h.remove()},100),g.classed(\"c3\",!1)),i.currentMaxTickWidths[b]=0>=k?i.currentMaxTickWidths[b]:k,i.currentMaxTickWidths[b])},f.updateAxisLabels=function(a){var b=this,c=b.main.select(\".\"+i.axisX+\" .\"+i.axisXLabel),d=b.main.select(\".\"+i.axisY+\" .\"+i.axisYLabel),e=b.main.select(\".\"+i.axisY2+\" .\"+i.axisY2Label);(a?c.transition():c).attr(\"x\",b.xForXAxisLabel.bind(b)).attr(\"dx\",b.dxForXAxisLabel.bind(b)).attr(\"dy\",b.dyForXAxisLabel.bind(b)).text(b.textForXAxisLabel.bind(b)),(a?d.transition():d).attr(\"x\",b.xForYAxisLabel.bind(b)).attr(\"dx\",b.dxForYAxisLabel.bind(b)).attr(\"dy\",b.dyForYAxisLabel.bind(b)).text(b.textForYAxisLabel.bind(b)),(a?e.transition():e).attr(\"x\",b.xForY2AxisLabel.bind(b)).attr(\"dx\",b.dxForY2AxisLabel.bind(b)).attr(\"dy\",b.dyForY2AxisLabel.bind(b)).text(b.textForY2AxisLabel.bind(b))},f.getAxisPadding=function(a,b,c,d){return j(a[b])?\"ratio\"===a.unit?a[b]*d:this.convertPixelsToAxisPadding(a[b],d):c},f.convertPixelsToAxisPadding=function(a,b){var c=this.config.axis_rotated?this.width:this.height;return b*(a\/c)},f.generateTickValues=function(a,b,c){var d,e,f,g,h,i,j,l=a;if(b)if(d=k(b)?b():b,1===d)l=[a[0]];else if(2===d)l=[a[0],a[a.length-1]];else if(d>2){for(g=d-2,e=a[0],f=a[a.length-1],h=(f-e)\/(g+1),l=[e],i=0;g>i;i++)j=+e+h*(i+1),l.push(c?new Date(j):j);l.push(f)}return c||(l=l.sort(function(a,b){return a-b})),l},f.generateAxisTransitions=function(a){var b=this,c=b.axes;return{axisX:a?c.x.transition().duration(a):c.x,axisY:a?c.y.transition().duration(a):c.y,axisY2:a?c.y2.transition().duration(a):c.y2,axisSubX:a?c.subx.transition().duration(a):c.subx}},f.redrawAxis=function(a,b){var c=this,d=c.config;c.axes.x.style(\"opacity\",b?0:1),c.axes.y.style(\"opacity\",b?0:1),c.axes.y2.style(\"opacity\",b?0:1),c.axes.subx.style(\"opacity\",b?0:1),a.axisX.call(c.xAxis),a.axisY.call(c.yAxis),a.axisY2.call(c.y2Axis),a.axisSubX.call(c.subXAxis),!d.axis_rotated&&d.axis_x_tick_rotate&&(c.rotateTickText(c.axes.x,a.axisX,d.axis_x_tick_rotate),c.rotateTickText(c.axes.subx,a.axisSubX,d.axis_x_tick_rotate))},f.getClipPath=function(b){var c=a.navigator.appVersion.toLowerCase().indexOf(\"msie 9.\")>=0;return\"url(\"+(c?\"\":document.URL.split(\"#\")[0])+\"#\"+b+\")\"},f.appendClip=function(a,b){return a.append(\"clipPath\").attr(\"id\",b).append(\"rect\")},f.getAxisClipX=function(a){var b=Math.max(30,this.margin.left);return a?-(1+b):-(b-1)},f.getAxisClipY=function(a){return a?-20:-this.margin.top},f.getXAxisClipX=function(){var a=this;return a.getAxisClipX(!a.config.axis_rotated)},f.getXAxisClipY=function(){var a=this;return a.getAxisClipY(!a.config.axis_rotated)},f.getYAxisClipX=function(){var a=this;return a.config.axis_y_inner?-1:a.getAxisClipX(a.config.axis_rotated)},f.getYAxisClipY=function(){var a=this;return a.getAxisClipY(a.config.axis_rotated)},f.getAxisClipWidth=function(a){var b=this,c=Math.max(30,b.margin.left),d=Math.max(30,b.margin.right);return a?b.width+2+c+d:b.margin.left+20},f.getAxisClipHeight=function(a){return(a?this.margin.bottom:this.margin.top+this.height)+20},f.getXAxisClipWidth=function(){var a=this;return a.getAxisClipWidth(!a.config.axis_rotated)},f.getXAxisClipHeight=function(){var a=this;return a.getAxisClipHeight(!a.config.axis_rotated)},f.getYAxisClipWidth=function(){var a=this;return a.getAxisClipWidth(a.config.axis_rotated)+(a.config.axis_y_inner?20:0)},f.getYAxisClipHeight=function(){var a=this;return a.getAxisClipHeight(a.config.axis_rotated)},f.initPie=function(){var a=this,b=a.d3,c=a.config;a.pie=b.layout.pie().value(function(a){return a.values.reduce(function(a,b){return a+b.value},0)}),c.data_order||a.pie.sort(null)},f.updateRadius=function(){var a=this,b=a.config,c=b.gauge_width||b.donut_width;a.radiusExpanded=Math.min(a.arcWidth,a.arcHeight)\/2,a.radius=.95*a.radiusExpanded,a.innerRadiusRatio=c?(a.radius-c)\/a.radius:.6,a.innerRadius=a.hasType(\"donut\")||a.hasType(\"gauge\")?a.radius*a.innerRadiusRatio:0},f.updateArc=function(){var a=this;a.svgArc=a.getSvgArc(),a.svgArcExpanded=a.getSvgArcExpanded(),a.svgArcExpandedSub=a.getSvgArcExpanded(.98)},f.updateAngle=function(a){var b,c,d=this,e=d.config,f=!1,g=0,h=e.gauge_min,i=e.gauge_max;return d.pie(d.filterTargetsToShow(d.data.targets)).forEach(function(b){f||b.data.id!==a.data.id||(f=!0,a=b,a.index=g),g++}),isNaN(a.endAngle)&&(a.endAngle=a.startAngle),d.isGaugeType(a.data)&&(b=Math.PI\/(i-h),c=a.value<h?0:a.value<i?a.value-h:i-h,a.startAngle=-1*(Math.PI\/2),a.endAngle=a.startAngle+b*c),f?a:null},f.getSvgArc=function(){var a=this,b=a.d3.svg.arc().outerRadius(a.radius).innerRadius(a.innerRadius),c=function(c,d){var e;return d?b(c):(e=a.updateAngle(c),e?b(e):\"M 0 0\")};return c.centroid=b.centroid,c},f.getSvgArcExpanded=function(a){var b=this,c=b.d3.svg.arc().outerRadius(b.radiusExpanded*(a?a:1)).innerRadius(b.innerRadius);return function(a){var d=b.updateAngle(a);return d?c(d):\"M 0 0\"}},f.getArc=function(a,b,c){return c||this.isArcType(a.data)?this.svgArc(a,b):\"M 0 0\"},f.transformForArcLabel=function(a){var b,c,d,e,f,g=this,h=g.updateAngle(a),i=\"\";return h&&!g.hasType(\"gauge\")&&(b=this.svgArc.centroid(h),c=isNaN(b[0])?0:b[0],d=isNaN(b[1])?0:b[1],e=Math.sqrt(c*c+d*d),f=g.radius&&e?(36\/g.radius>.375?1.175-36\/g.radius:.8)*g.radius\/e:0,i=\"translate(\"+c*f+\",\"+d*f+\")\"),i},f.getArcRatio=function(a){var b=this,c=b.hasType(\"gauge\")?Math.PI:2*Math.PI;return a?(a.endAngle-a.startAngle)\/c:null},f.convertToArcData=function(a){return this.addName({id:a.data.id,value:a.value,ratio:this.getArcRatio(a),index:a.index})},f.textForArcLabel=function(a){var b,c,d,e,f,g=this;return g.shouldShowArcLabel()?(b=g.updateAngle(a),c=b?b.value:null,d=g.getArcRatio(b),e=a.data.id,g.hasType(\"gauge\")||g.meetsArcLabelThreshold(d)?(f=g.getArcLabelFormat(),f?f(c,d,e):g.defaultArcValueFormat(c,d)):\"\"):\"\"},f.expandArc=function(b){var c,d=this;return d.transiting?void(c=a.setInterval(function(){d.transiting||(a.clearInterval(c),d.legend.selectAll(\".c3-legend-item-focused\").size()>0&&d.expandArc(b))},10)):(b=d.mapToTargetIds(b),void d.svg.selectAll(d.selectorTargets(b,\".\"+i.chartArc)).each(function(a){d.shouldExpand(a.data.id)&&d.d3.select(this).selectAll(\"path\").transition().duration(50).attr(\"d\",d.svgArcExpanded).transition().duration(100).attr(\"d\",d.svgArcExpandedSub).each(function(a){d.isDonutType(a.data)\n})}))},f.unexpandArc=function(a){var b=this;b.transiting||(a=b.mapToTargetIds(a),b.svg.selectAll(b.selectorTargets(a,\".\"+i.chartArc)).selectAll(\"path\").transition().duration(50).attr(\"d\",b.svgArc),b.svg.selectAll(\".\"+i.arc).style(\"opacity\",1))},f.shouldExpand=function(a){var b=this,c=b.config;return b.isDonutType(a)&&c.donut_expand||b.isGaugeType(a)&&c.gauge_expand||b.isPieType(a)&&c.pie_expand},f.shouldShowArcLabel=function(){var a=this,b=a.config,c=!0;return a.hasType(\"donut\")?c=b.donut_label_show:a.hasType(\"pie\")&&(c=b.pie_label_show),c},f.meetsArcLabelThreshold=function(a){var b=this,c=b.config,d=b.hasType(\"donut\")?c.donut_label_threshold:c.pie_label_threshold;return a>=d},f.getArcLabelFormat=function(){var a=this,b=a.config,c=b.pie_label_format;return a.hasType(\"gauge\")?c=b.gauge_label_format:a.hasType(\"donut\")&&(c=b.donut_label_format),c},f.getArcTitle=function(){var a=this;return a.hasType(\"donut\")?a.config.donut_title:\"\"},f.updateTargetsForArc=function(a){var b,c,d=this,e=d.main,f=d.classChartArc.bind(d),g=d.classArcs.bind(d),h=d.classFocus.bind(d);b=e.select(\".\"+i.chartArcs).selectAll(\".\"+i.chartArc).data(d.pie(a)).attr(\"class\",function(a){return f(a)+h(a.data)}),c=b.enter().append(\"g\").attr(\"class\",f),c.append(\"g\").attr(\"class\",g),c.append(\"text\").attr(\"dy\",d.hasType(\"gauge\")?\"-.1em\":\".35em\").style(\"opacity\",0).style(\"text-anchor\",\"middle\").style(\"pointer-events\",\"none\")},f.initArc=function(){var a=this;a.arcs=a.main.select(\".\"+i.chart).append(\"g\").attr(\"class\",i.chartArcs).attr(\"transform\",a.getTranslate(\"arc\")),a.arcs.append(\"text\").attr(\"class\",i.chartArcsTitle).style(\"text-anchor\",\"middle\").text(a.getArcTitle())},f.redrawArc=function(a,b,c){var d,e=this,f=e.d3,g=e.config,h=e.main;d=h.selectAll(\".\"+i.arcs).selectAll(\".\"+i.arc).data(e.arcData.bind(e)),d.enter().append(\"path\").attr(\"class\",e.classArc.bind(e)).style(\"fill\",function(a){return e.color(a.data)}).style(\"cursor\",function(a){return g.interaction_enabled&&g.data_selection_isselectable(a)?\"pointer\":null}).style(\"opacity\",0).each(function(a){e.isGaugeType(a.data)&&(a.startAngle=a.endAngle=-1*(Math.PI\/2)),this._current=a}),d.attr(\"transform\",function(a){return!e.isGaugeType(a.data)&&c?\"scale(0)\":\"\"}).style(\"opacity\",function(a){return a===this._current?0:1}).on(\"mouseover\",g.interaction_enabled?function(a){var b,c;e.transiting||(b=e.updateAngle(a),c=e.convertToArcData(b),e.expandArc(b.data.id),e.api.focus(b.data.id),e.toggleFocusLegend(b.data.id,!0),e.config.data_onmouseover(c,this))}:null).on(\"mousemove\",g.interaction_enabled?function(a){var b=e.updateAngle(a),c=e.convertToArcData(b),d=[c];e.showTooltip(d,this)}:null).on(\"mouseout\",g.interaction_enabled?function(a){var b,c;e.transiting||(b=e.updateAngle(a),c=e.convertToArcData(b),e.unexpandArc(b.data.id),e.api.revert(),e.revertLegend(),e.hideTooltip(),e.config.data_onmouseout(c,this))}:null).on(\"click\",g.interaction_enabled?function(a,b){var c=e.updateAngle(a),d=e.convertToArcData(c);e.toggleShape&&e.toggleShape(this,d,b),e.config.data_onclick.call(e.api,d,this)}:null).each(function(){e.transiting=!0}).transition().duration(a).attrTween(\"d\",function(a){var b,c=e.updateAngle(a);return c?(isNaN(this._current.endAngle)&&(this._current.endAngle=this._current.startAngle),b=f.interpolate(this._current,c),this._current=b(0),function(c){var d=b(c);return d.data=a.data,e.getArc(d,!0)}):function(){return\"M 0 0\"}}).attr(\"transform\",c?\"scale(1)\":\"\").style(\"fill\",function(a){return e.levelColor?e.levelColor(a.data.values[0].value):e.color(a.data.id)}).style(\"opacity\",1).call(e.endall,function(){e.transiting=!1}),d.exit().transition().duration(b).style(\"opacity\",0).remove(),h.selectAll(\".\"+i.chartArc).select(\"text\").style(\"opacity\",0).attr(\"class\",function(a){return e.isGaugeType(a.data)?i.gaugeValue:\"\"}).text(e.textForArcLabel.bind(e)).attr(\"transform\",e.transformForArcLabel.bind(e)).style(\"font-size\",function(a){return e.isGaugeType(a.data)?Math.round(e.radius\/5)+\"px\":\"\"}).transition().duration(a).style(\"opacity\",function(a){return e.isTargetToShow(a.data.id)&&e.isArcType(a.data)?1:0}),h.select(\".\"+i.chartArcsTitle).style(\"opacity\",e.hasType(\"donut\")||e.hasType(\"gauge\")?1:0),e.hasType(\"gauge\")&&(e.arcs.select(\".\"+i.chartArcsBackground).attr(\"d\",function(){var a={data:[{value:g.gauge_max}],startAngle:-1*(Math.PI\/2),endAngle:Math.PI\/2};return e.getArc(a,!0,!0)}),e.arcs.select(\".\"+i.chartArcsGaugeUnit).attr(\"dy\",\".75em\").text(g.gauge_label_show?g.gauge_units:\"\"),e.arcs.select(\".\"+i.chartArcsGaugeMin).attr(\"dx\",-1*(e.innerRadius+(e.radius-e.innerRadius)\/2)+\"px\").attr(\"dy\",\"1.2em\").text(g.gauge_label_show?g.gauge_min:\"\"),e.arcs.select(\".\"+i.chartArcsGaugeMax).attr(\"dx\",e.innerRadius+(e.radius-e.innerRadius)\/2+\"px\").attr(\"dy\",\"1.2em\").text(g.gauge_label_show?g.gauge_max:\"\"))},f.initGauge=function(){var a=this.arcs;this.hasType(\"gauge\")&&(a.append(\"path\").attr(\"class\",i.chartArcsBackground),a.append(\"text\").attr(\"class\",i.chartArcsGaugeUnit).style(\"text-anchor\",\"middle\").style(\"pointer-events\",\"none\"),a.append(\"text\").attr(\"class\",i.chartArcsGaugeMin).style(\"text-anchor\",\"middle\").style(\"pointer-events\",\"none\"),a.append(\"text\").attr(\"class\",i.chartArcsGaugeMax).style(\"text-anchor\",\"middle\").style(\"pointer-events\",\"none\"))},f.getGaugeLabelHeight=function(){return this.config.gauge_label_show?20:0},f.initRegion=function(){var a=this;a.region=a.main.append(\"g\").attr(\"clip-path\",a.clipPath).attr(\"class\",i.regions)},f.updateRegion=function(a){var b=this,c=b.config;b.region.style(\"visibility\",b.hasArcType()?\"hidden\":\"visible\"),b.mainRegion=b.main.select(\".\"+i.regions).selectAll(\".\"+i.region).data(c.regions),b.mainRegion.enter().append(\"g\").attr(\"class\",b.classRegion.bind(b)).append(\"rect\").style(\"fill-opacity\",0),b.mainRegion.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawRegion=function(a){var b=this,c=b.mainRegion.selectAll(\"rect\"),d=b.regionX.bind(b),e=b.regionY.bind(b),f=b.regionWidth.bind(b),g=b.regionHeight.bind(b);return[(a?c.transition():c).attr(\"x\",d).attr(\"y\",e).attr(\"width\",f).attr(\"height\",g).style(\"fill-opacity\",function(a){return j(a.opacity)?a.opacity:.1})]},f.regionX=function(a){var b,c=this,d=c.config,e=\"y\"===a.axis?c.y:c.y2;return b=\"y\"===a.axis||\"y2\"===a.axis?d.axis_rotated&&\"start\"in a?e(a.start):0:d.axis_rotated?0:\"start\"in a?c.x(c.isTimeSeries()?c.parseDate(a.start):a.start):0},f.regionY=function(a){var b,c=this,d=c.config,e=\"y\"===a.axis?c.y:c.y2;return b=\"y\"===a.axis||\"y2\"===a.axis?d.axis_rotated?0:\"end\"in a?e(a.end):0:d.axis_rotated&&\"start\"in a?c.x(c.isTimeSeries()?c.parseDate(a.start):a.start):0},f.regionWidth=function(a){var b,c=this,d=c.config,e=c.regionX(a),f=\"y\"===a.axis?c.y:c.y2;return b=\"y\"===a.axis||\"y2\"===a.axis?d.axis_rotated&&\"end\"in a?f(a.end):c.width:d.axis_rotated?c.width:\"end\"in a?c.x(c.isTimeSeries()?c.parseDate(a.end):a.end):c.width,e>b?0:b-e},f.regionHeight=function(a){var b,c=this,d=c.config,e=this.regionY(a),f=\"y\"===a.axis?c.y:c.y2;return b=\"y\"===a.axis||\"y2\"===a.axis?d.axis_rotated?c.height:\"start\"in a?f(a.start):c.height:d.axis_rotated&&\"end\"in a?c.x(c.isTimeSeries()?c.parseDate(a.end):a.end):c.height,e>b?0:b-e},f.isRegionOnX=function(a){return!a.axis||\"x\"===a.axis},f.drag=function(a){var b,c,d,e,f,g,h,j,k=this,l=k.config,m=k.main,n=k.d3;k.hasArcType()||l.data_selection_enabled&&(!l.zoom_enabled||k.zoom.altDomain)&&l.data_selection_multiple&&(b=k.dragStart[0],c=k.dragStart[1],d=a[0],e=a[1],f=Math.min(b,d),g=Math.max(b,d),h=l.data_selection_grouped?k.margin.top:Math.min(c,e),j=l.data_selection_grouped?k.height:Math.max(c,e),m.select(\".\"+i.dragarea).attr(\"x\",f).attr(\"y\",h).attr(\"width\",g-f).attr(\"height\",j-h),m.selectAll(\".\"+i.shapes).selectAll(\".\"+i.shape).filter(function(a){return l.data_selection_isselectable(a)}).each(function(a,b){var c,d,e,l,m,o,p=n.select(this),q=p.classed(i.SELECTED),r=p.classed(i.INCLUDED),s=!1;if(p.classed(i.circle))c=1*p.attr(\"cx\"),d=1*p.attr(\"cy\"),m=k.togglePoint,s=c>f&&g>c&&d>h&&j>d;else{if(!p.classed(i.bar))return;o=v(this),c=o.x,d=o.y,e=o.width,l=o.height,m=k.togglePath,s=!(c>g||f>c+e||d>j||h>d+l)}s^r&&(p.classed(i.INCLUDED,!r),p.classed(i.SELECTED,!q),m.call(k,!q,p,a,b))}))},f.dragstart=function(a){var b=this,c=b.config;b.hasArcType()||c.data_selection_enabled&&(b.dragStart=a,b.main.select(\".\"+i.chart).append(\"rect\").attr(\"class\",i.dragarea).style(\"opacity\",.1),b.dragging=!0)},f.dragend=function(){var a=this,b=a.config;a.hasArcType()||b.data_selection_enabled&&(a.main.select(\".\"+i.dragarea).transition().duration(100).style(\"opacity\",0).remove(),a.main.selectAll(\".\"+i.shape).classed(i.INCLUDED,!1),a.dragging=!1)},f.selectPoint=function(a,b,c){var d=this,e=d.config,f=(e.axis_rotated?d.circleY:d.circleX).bind(d),g=(e.axis_rotated?d.circleX:d.circleY).bind(d),h=d.pointSelectR.bind(d);e.data_onselected.call(d.api,b,a.node()),d.main.select(\".\"+i.selectedCircles+d.getTargetSelectorSuffix(b.id)).selectAll(\".\"+i.selectedCircle+\"-\"+c).data([b]).enter().append(\"circle\").attr(\"class\",function(){return d.generateClass(i.selectedCircle,c)}).attr(\"cx\",f).attr(\"cy\",g).attr(\"stroke\",function(){return d.color(b)}).attr(\"r\",function(a){return 1.4*d.pointSelectR(a)}).transition().duration(100).attr(\"r\",h)},f.unselectPoint=function(a,b,c){var d=this;d.config.data_onunselected(b,a.node()),d.main.select(\".\"+i.selectedCircles+d.getTargetSelectorSuffix(b.id)).selectAll(\".\"+i.selectedCircle+\"-\"+c).transition().duration(100).attr(\"r\",0).remove()},f.togglePoint=function(a,b,c,d){a?this.selectPoint(b,c,d):this.unselectPoint(b,c,d)},f.selectPath=function(a,b){var c=this;c.config.data_onselected.call(c,b,a.node()),a.transition().duration(100).style(\"fill\",function(){return c.d3.rgb(c.color(b)).brighter(.75)})},f.unselectPath=function(a,b){var c=this;c.config.data_onunselected.call(c,b,a.node()),a.transition().duration(100).style(\"fill\",function(){return c.color(b)})},f.togglePath=function(a,b,c,d){a?this.selectPath(b,c,d):this.unselectPath(b,c,d)},f.getToggle=function(a,b){var c,d=this;return\"circle\"===a.nodeName?c=d.isStepType(b)?function(){}:d.togglePoint:\"path\"===a.nodeName&&(c=d.togglePath),c},f.toggleShape=function(a,b,c){var d=this,e=d.d3,f=d.config,g=e.select(a),h=g.classed(i.SELECTED),j=d.getToggle(a,b).bind(d);f.data_selection_enabled&&f.data_selection_isselectable(b)&&(f.data_selection_multiple||d.main.selectAll(\".\"+i.shapes+(f.data_selection_grouped?d.getTargetSelectorSuffix(b.id):\"\")).selectAll(\".\"+i.shape).each(function(a,b){var c=e.select(this);c.classed(i.SELECTED)&&j(!1,c.classed(i.SELECTED,!1),a,b)}),g.classed(i.SELECTED,!h),j(!h,g,b,c))},f.initBrush=function(){var a=this,b=a.d3;a.brush=b.svg.brush().on(\"brush\",function(){a.redrawForBrush()}),a.brush.update=function(){return a.context&&a.context.select(\".\"+i.brush).call(this),this},a.brush.scale=function(b){return a.config.axis_rotated?this.y(b):this.x(b)}},f.initSubchart=function(){var a=this,b=a.config,c=a.context=a.svg.append(\"g\").attr(\"transform\",a.getTranslate(\"context\"));c.style(\"visibility\",b.subchart_show?\"visible\":\"hidden\"),c.append(\"g\").attr(\"clip-path\",a.clipPathForSubchart).attr(\"class\",i.chart),c.select(\".\"+i.chart).append(\"g\").attr(\"class\",i.chartBars),c.select(\".\"+i.chart).append(\"g\").attr(\"class\",i.chartLines),c.append(\"g\").attr(\"clip-path\",a.clipPath).attr(\"class\",i.brush).call(a.brush),a.axes.subx=c.append(\"g\").attr(\"class\",i.axisX).attr(\"transform\",a.getTranslate(\"subx\")).attr(\"clip-path\",b.axis_rotated?\"\":a.clipPathForXAxis)},f.updateTargetsForSubchart=function(a){var b,c,d,e,f=this,g=f.context,h=f.config,j=f.classChartBar.bind(f),k=f.classBars.bind(f),l=f.classChartLine.bind(f),m=f.classLines.bind(f),n=f.classAreas.bind(f);h.subchart_show&&(e=g.select(\".\"+i.chartBars).selectAll(\".\"+i.chartBar).data(a).attr(\"class\",j),d=e.enter().append(\"g\").style(\"opacity\",0).attr(\"class\",j),d.append(\"g\").attr(\"class\",k),c=g.select(\".\"+i.chartLines).selectAll(\".\"+i.chartLine).data(a).attr(\"class\",l),b=c.enter().append(\"g\").style(\"opacity\",0).attr(\"class\",l),b.append(\"g\").attr(\"class\",m),b.append(\"g\").attr(\"class\",n),g.selectAll(\".\"+i.brush+\" rect\").attr(h.axis_rotated?\"width\":\"height\",h.axis_rotated?f.width2:f.height2))},f.updateBarForSubchart=function(a){var b=this;b.contextBar=b.context.selectAll(\".\"+i.bars).selectAll(\".\"+i.bar).data(b.barData.bind(b)),b.contextBar.enter().append(\"path\").attr(\"class\",b.classBar.bind(b)).style(\"stroke\",\"none\").style(\"fill\",b.color),b.contextBar.style(\"opacity\",b.initialOpacity.bind(b)),b.contextBar.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawBarForSubchart=function(a,b,c){(b?this.contextBar.transition().duration(c):this.contextBar).attr(\"d\",a).style(\"opacity\",1)},f.updateLineForSubchart=function(a){var b=this;b.contextLine=b.context.selectAll(\".\"+i.lines).selectAll(\".\"+i.line).data(b.lineData.bind(b)),b.contextLine.enter().append(\"path\").attr(\"class\",b.classLine.bind(b)).style(\"stroke\",b.color),b.contextLine.style(\"opacity\",b.initialOpacity.bind(b)),b.contextLine.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawLineForSubchart=function(a,b,c){(b?this.contextLine.transition().duration(c):this.contextLine).attr(\"d\",a).style(\"opacity\",1)},f.updateAreaForSubchart=function(a){var b=this,c=b.d3;b.contextArea=b.context.selectAll(\".\"+i.areas).selectAll(\".\"+i.area).data(b.lineData.bind(b)),b.contextArea.enter().append(\"path\").attr(\"class\",b.classArea.bind(b)).style(\"fill\",b.color).style(\"opacity\",function(){return b.orgAreaOpacity=+c.select(this).style(\"opacity\"),0}),b.contextArea.style(\"opacity\",0),b.contextArea.exit().transition().duration(a).style(\"opacity\",0).remove()},f.redrawAreaForSubchart=function(a,b,c){(b?this.contextArea.transition().duration(c):this.contextArea).attr(\"d\",a).style(\"fill\",this.color).style(\"opacity\",this.orgAreaOpacity)},f.redrawSubchart=function(a,b,c,d,e,f,g){var h,i,j,k=this,l=k.d3,m=k.config;k.context.style(\"visibility\",m.subchart_show?\"visible\":\"hidden\"),m.subchart_show&&(l.event&&\"zoom\"===l.event.type&&k.brush.extent(k.x.orgDomain()).update(),a&&(k.brush.empty()||k.brush.extent(k.x.orgDomain()).update(),h=k.generateDrawArea(e,!0),i=k.generateDrawBar(f,!0),j=k.generateDrawLine(g,!0),k.updateBarForSubchart(c),k.updateLineForSubchart(c),k.updateAreaForSubchart(c),k.redrawBarForSubchart(i,c,c),k.redrawLineForSubchart(j,c,c),k.redrawAreaForSubchart(h,c,c)))},f.redrawForBrush=function(){var a=this,b=a.x;a.redraw({withTransition:!1,withY:a.config.zoom_rescale,withSubchart:!1,withUpdateXDomain:!0,withDimension:!1}),a.config.subchart_onbrush.call(a.api,b.orgDomain())},f.transformContext=function(a,b){var c,d=this;b&&b.axisSubX?c=b.axisSubX:(c=d.context.select(\".\"+i.axisX),a&&(c=c.transition())),d.context.attr(\"transform\",d.getTranslate(\"context\")),c.attr(\"transform\",d.getTranslate(\"subx\"))},f.getDefaultExtent=function(){var a=this,b=a.config,c=k(b.axis_x_extent)?b.axis_x_extent(a.getXDomain(a.data.targets)):b.axis_x_extent;return a.isTimeSeries()&&(c=[a.parseDate(c[0]),a.parseDate(c[1])]),c},f.initZoom=function(){var a,b=this,c=b.d3,d=b.config;b.zoom=c.behavior.zoom().on(\"zoomstart\",function(){a=c.event.sourceEvent,b.zoom.altDomain=c.event.sourceEvent.altKey?b.x.orgDomain():null,d.zoom_onzoomstart.call(b.api,c.event.sourceEvent)}).on(\"zoom\",function(){b.redrawForZoom.call(b)}).on(\"zoomend\",function(){var e=c.event.sourceEvent;e&&a.clientX===e.clientX&&a.clientY===e.clientY||(b.redrawEventRect(),b.updateZoom(),d.zoom_onzoomend.call(b.api,b.x.orgDomain()))}),b.zoom.scale=function(a){return d.axis_rotated?this.y(a):this.x(a)},b.zoom.orgScaleExtent=function(){var a=d.zoom_extent?d.zoom_extent:[1,10];return[a[0],Math.max(b.getMaxDataCount()\/a[1],a[1])]},b.zoom.updateScaleExtent=function(){var a=q(b.x.orgDomain())\/q(b.orgXDomain),c=this.orgScaleExtent();return this.scaleExtent([c[0]*a,c[1]*a]),this}},f.updateZoom=function(){var a=this,b=a.config.zoom_enabled?a.zoom:function(){};a.main.select(\".\"+i.zoomRect).call(b).on(\"dblclick.zoom\",null),a.main.selectAll(\".\"+i.eventRect).call(b).on(\"dblclick.zoom\",null)},f.redrawForZoom=function(){var a=this,b=a.d3,c=a.config,d=a.zoom,e=a.x;if(c.zoom_enabled&&0!==a.filterTargetsToShow(a.data.targets).length){if(\"mousemove\"===b.event.sourceEvent.type&&d.altDomain)return e.domain(d.altDomain),void d.scale(e).updateScaleExtent();a.isCategorized()&&e.orgDomain()[0]===a.orgXDomain[0]&&e.domain([a.orgXDomain[0]-1e-10,e.orgDomain()[1]]),a.redraw({withTransition:!1,withY:c.zoom_rescale,withSubchart:!1,withEventRect:!1,withDimension:!1}),\"mousemove\"===b.event.sourceEvent.type&&(a.cancelClick=!0),c.zoom_onzoom.call(a.api,e.orgDomain())}},f.generateColor=function(){var a=this,b=a.config,c=a.d3,d=b.data_colors,e=s(b.color_pattern)?b.color_pattern:c.scale.category10().range(),f=b.data_color,g=[];return function(a){var b,c=a.id||a.data&&a.data.id||a;return d[c]instanceof Function?b=d[c](a):d[c]?b=d[c]:(g.indexOf(c)<0&&g.push(c),b=e[g.indexOf(c)%e.length],d[c]=b),f instanceof Function?f(b,a):b}},f.generateLevelColor=function(){var a=this,b=a.config,c=b.color_pattern,d=b.color_threshold,e=\"value\"===d.unit,f=d.values&&d.values.length?d.values:[],g=d.max||100;return s(b.color_threshold)?function(a){var b,d,h=c[c.length-1];for(b=0;b<f.length;b++)if(d=e?a:100*a\/g,d<f[b]){h=c[b];break}return h}:null},f.getYFormat=function(a){var b=this,c=a&&!b.hasType(\"gauge\")?b.defaultArcValueFormat:b.yFormat,d=a&&!b.hasType(\"gauge\")?b.defaultArcValueFormat:b.y2Format;return function(a,e,f){var g=\"y2\"===b.getAxisId(f)?d:c;return g.call(b,a,e)}},f.yFormat=function(a){var b=this,c=b.config,d=c.axis_y_tick_format?c.axis_y_tick_format:b.defaultValueFormat;return d(a)},f.y2Format=function(a){var b=this,c=b.config,d=c.axis_y2_tick_format?c.axis_y2_tick_format:b.defaultValueFormat;return d(a)},f.defaultValueFormat=function(a){return j(a)?+a:\"\"},f.defaultArcValueFormat=function(a,b){return(100*b).toFixed(1)+\"%\"},f.dataLabelFormat=function(a){var b,c=this,d=c.config.data_labels,e=function(a){return j(a)?+a:\"\"};return b=\"function\"==typeof d.format?d.format:\"object\"==typeof d.format?d.format[a]?d.format[a]===!0?e:d.format[a]:function(){return\"\"}:e},f.hasCaches=function(a){for(var b=0;b<a.length;b++)if(!(a[b]in this.cache))return!1;return!0},f.addCache=function(a,b){this.cache[a]=this.cloneTarget(b)},f.getCaches=function(a){var b,c=[];for(b=0;b<a.length;b++)a[b]in this.cache&&c.push(this.cloneTarget(this.cache[a[b]]));return c};var i=f.CLASS={target:\"c3-target\",chart:\"c3-chart\",chartLine:\"c3-chart-line\",chartLines:\"c3-chart-lines\",chartBar:\"c3-chart-bar\",chartBars:\"c3-chart-bars\",chartText:\"c3-chart-text\",chartTexts:\"c3-chart-texts\",chartArc:\"c3-chart-arc\",chartArcs:\"c3-chart-arcs\",chartArcsTitle:\"c3-chart-arcs-title\",chartArcsBackground:\"c3-chart-arcs-background\",chartArcsGaugeUnit:\"c3-chart-arcs-gauge-unit\",chartArcsGaugeMax:\"c3-chart-arcs-gauge-max\",chartArcsGaugeMin:\"c3-chart-arcs-gauge-min\",selectedCircle:\"c3-selected-circle\",selectedCircles:\"c3-selected-circles\",eventRect:\"c3-event-rect\",eventRects:\"c3-event-rects\",eventRectsSingle:\"c3-event-rects-single\",eventRectsMultiple:\"c3-event-rects-multiple\",zoomRect:\"c3-zoom-rect\",brush:\"c3-brush\",focused:\"c3-focused\",defocused:\"c3-defocused\",region:\"c3-region\",regions:\"c3-regions\",tooltipContainer:\"c3-tooltip-container\",tooltip:\"c3-tooltip\",tooltipName:\"c3-tooltip-name\",shape:\"c3-shape\",shapes:\"c3-shapes\",line:\"c3-line\",lines:\"c3-lines\",bar:\"c3-bar\",bars:\"c3-bars\",circle:\"c3-circle\",circles:\"c3-circles\",arc:\"c3-arc\",arcs:\"c3-arcs\",area:\"c3-area\",areas:\"c3-areas\",empty:\"c3-empty\",text:\"c3-text\",texts:\"c3-texts\",gaugeValue:\"c3-gauge-value\",grid:\"c3-grid\",gridLines:\"c3-grid-lines\",xgrid:\"c3-xgrid\",xgrids:\"c3-xgrids\",xgridLine:\"c3-xgrid-line\",xgridLines:\"c3-xgrid-lines\",xgridFocus:\"c3-xgrid-focus\",ygrid:\"c3-ygrid\",ygrids:\"c3-ygrids\",ygridLine:\"c3-ygrid-line\",ygridLines:\"c3-ygrid-lines\",axis:\"c3-axis\",axisX:\"c3-axis-x\",axisXLabel:\"c3-axis-x-label\",axisY:\"c3-axis-y\",axisYLabel:\"c3-axis-y-label\",axisY2:\"c3-axis-y2\",axisY2Label:\"c3-axis-y2-label\",legendBackground:\"c3-legend-background\",legendItem:\"c3-legend-item\",legendItemEvent:\"c3-legend-item-event\",legendItemTile:\"c3-legend-item-tile\",legendItemHidden:\"c3-legend-item-hidden\",legendItemFocused:\"c3-legend-item-focused\",dragarea:\"c3-dragarea\",EXPANDED:\"_expanded_\",SELECTED:\"_selected_\",INCLUDED:\"_included_\"};f.generateClass=function(a,b){return\" \"+a+\" \"+a+this.getTargetSelectorSuffix(b)},f.classText=function(a){return this.generateClass(i.text,a.index)},f.classTexts=function(a){return this.generateClass(i.texts,a.id)},f.classShape=function(a){return this.generateClass(i.shape,a.index)},f.classShapes=function(a){return this.generateClass(i.shapes,a.id)},f.classLine=function(a){return this.classShape(a)+this.generateClass(i.line,a.id)},f.classLines=function(a){return this.classShapes(a)+this.generateClass(i.lines,a.id)},f.classCircle=function(a){return this.classShape(a)+this.generateClass(i.circle,a.index)},f.classCircles=function(a){return this.classShapes(a)+this.generateClass(i.circles,a.id)},f.classBar=function(a){return this.classShape(a)+this.generateClass(i.bar,a.index)},f.classBars=function(a){return this.classShapes(a)+this.generateClass(i.bars,a.id)},f.classArc=function(a){return this.classShape(a.data)+this.generateClass(i.arc,a.data.id)},f.classArcs=function(a){return this.classShapes(a.data)+this.generateClass(i.arcs,a.data.id)},f.classArea=function(a){return this.classShape(a)+this.generateClass(i.area,a.id)},f.classAreas=function(a){return this.classShapes(a)+this.generateClass(i.areas,a.id)},f.classRegion=function(a,b){return this.generateClass(i.region,b)+\" \"+(\"class\"in a?a[\"class\"]:\"\")},f.classEvent=function(a){return this.generateClass(i.eventRect,a.index)},f.classTarget=function(a){var b=this,c=b.config.data_classes[a],d=\"\";return c&&(d=\" \"+i.target+\"-\"+c),b.generateClass(i.target,a)+d},f.classFocus=function(a){return this.classFocused(a)+this.classDefocused(a)},f.classFocused=function(a){return\" \"+(this.focusedTargetIds.indexOf(a.id)>=0?i.focused:\"\")},f.classDefocused=function(a){return\" \"+(this.defocusedTargetIds.indexOf(a.id)>=0?i.defocused:\"\")},f.classChartText=function(a){return i.chartText+this.classTarget(a.id)},f.classChartLine=function(a){return i.chartLine+this.classTarget(a.id)},f.classChartBar=function(a){return i.chartBar+this.classTarget(a.id)},f.classChartArc=function(a){return i.chartArc+this.classTarget(a.data.id)},f.getTargetSelectorSuffix=function(a){return a||0===a?(\"-\"+a).replace(\/[\\s?!@#$%^&*()_=+,.<>'\":;\\[\\]\\\/|~`{}\\\\]\/g,\"-\"):\"\"},f.selectorTarget=function(a,b){return(b||\"\")+\".\"+i.target+this.getTargetSelectorSuffix(a)},f.selectorTargets=function(a,b){var c=this;return a=a||[],a.length?a.map(function(a){return c.selectorTarget(a,b)}):null},f.selectorLegend=function(a){return\".\"+i.legendItem+this.getTargetSelectorSuffix(a)},f.selectorLegends=function(a){var b=this;return a&&a.length?a.map(function(a){return b.selectorLegend(a)}):null};var j=f.isValue=function(a){return a||0===a},k=f.isFunction=function(a){return\"function\"==typeof a},l=f.isString=function(a){return\"string\"==typeof a},m=f.isUndefined=function(a){return\"undefined\"==typeof a},n=f.isDefined=function(a){return\"undefined\"!=typeof a},o=f.ceil10=function(a){return 10*Math.ceil(a\/10)},p=f.asHalfPixel=function(a){return Math.ceil(a)+.5},q=f.diffDomain=function(a){return a[1]-a[0]},r=f.isEmpty=function(a){return!a||l(a)&&0===a.length||\"object\"==typeof a&&0===Object.keys(a).length},s=f.notEmpty=function(a){return Object.keys(a).length>0},t=f.getOption=function(a,b,c){return n(a[b])?a[b]:c},u=f.hasValue=function(a,b){var c=!1;return Object.keys(a).forEach(function(d){a[d]===b&&(c=!0)}),c},v=f.getPathBox=function(a){var b=a.getBoundingClientRect(),c=[a.pathSegList.getItem(0),a.pathSegList.getItem(1)],d=c[0].x,e=Math.min(c[0].y,c[1].y);return{x:d,y:e,width:b.width,height:b.height}};e.focus=function(a){var b,c=this.internal;a=c.mapToTargetIds(a),b=c.svg.selectAll(c.selectorTargets(a.filter(c.isTargetToShow,c))),this.revert(),this.defocus(),b.classed(i.focused,!0).classed(i.defocused,!1),c.hasArcType()&&c.expandArc(a),c.toggleFocusLegend(a,!0),c.focusedTargetIds=a,c.defocusedTargetIds=c.defocusedTargetIds.filter(function(b){return a.indexOf(b)<0})},e.defocus=function(a){var b,c=this.internal;a=c.mapToTargetIds(a),b=c.svg.selectAll(c.selectorTargets(a.filter(c.isTargetToShow,c))),this.revert(),b.classed(i.focused,!1).classed(i.defocused,!0),c.hasArcType()&&c.unexpandArc(a),c.toggleFocusLegend(a,!1),c.focusedTargetIds=c.focusedTargetIds.filter(function(b){return a.indexOf(b)<0}),c.defocusedTargetIds=a},e.revert=function(a){var b,c=this.internal;a=c.mapToTargetIds(a),b=c.svg.selectAll(c.selectorTargets(a)),b.classed(i.focused,!1).classed(i.defocused,!1),c.hasArcType()&&c.unexpandArc(a),c.config.legend_show&&c.showLegend(a.filter(c.isLegendToShow.bind(c))),c.focusedTargetIds=[],c.defocusedTargetIds=[]},e.show=function(a,b){var c,d=this.internal;a=d.mapToTargetIds(a),b=b||{},d.removeHiddenTargetIds(a),c=d.svg.selectAll(d.selectorTargets(a)),c.transition().style(\"opacity\",1,\"important\").call(d.endall,function(){c.style(\"opacity\",null).style(\"opacity\",1)}),b.withLegend&&d.showLegend(a),d.redraw({withUpdateOrgXDomain:!0,withUpdateXDomain:!0,withLegend:!0})},e.hide=function(a,b){var c,d=this.internal;a=d.mapToTargetIds(a),b=b||{},d.addHiddenTargetIds(a),c=d.svg.selectAll(d.selectorTargets(a)),c.transition().style(\"opacity\",0,\"important\").call(d.endall,function(){c.style(\"opacity\",null).style(\"opacity\",0)}),b.withLegend&&d.hideLegend(a),d.redraw({withUpdateOrgXDomain:!0,withUpdateXDomain:!0,withLegend:!0})},e.toggle=function(a,b){var c=this,d=this.internal;d.mapToTargetIds(a).forEach(function(a){d.isTargetToShow(a)?c.hide(a,b):c.show(a,b)})},e.zoom=function(a){var b=this.internal;return a&&(b.isTimeSeries()&&(a=a.map(function(a){return b.parseDate(a)})),b.brush.extent(a),b.redraw({withUpdateXDomain:!0,withY:b.config.zoom_rescale}),b.config.zoom_onzoom.call(this,b.x.orgDomain())),b.brush.extent()},e.zoom.enable=function(a){var b=this.internal;b.config.zoom_enabled=a,b.updateAndRedraw()},e.unzoom=function(){var a=this.internal;a.brush.clear().update(),a.redraw({withUpdateXDomain:!0})},e.load=function(a){var b=this.internal,c=b.config;return 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