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a:5:{s:8:"template";s:17358:"<!DOCTYPE html> <html lang="da-DK"> <head> <meta charset="utf-8"/> <meta content="width=device-width, initial-scale=1" name="viewport"/> <link href="http://gmpg.org/xfn/11" rel="profile"/> <title>{{ keyword }}</title> <style id="scribbles-css" media="all" rel="stylesheet" type="text/css"> @charset "UTF-8"; html { font-family: sans-serif; -ms-text-size-adjust: 100%; -webkit-text-size-adjust: 100%; } body { margin: 0; } aside, footer, header, nav { display: block; } a { background-color: transparent; -webkit-text-decoration-skip: objects; } a:active, a:hover { outline-width: 0; } input { font: inherit; margin: 0; } input { overflow: visible; } [type="submit"] { -webkit-appearance: button; } [type="submit"]::-moz-focus-inner { border-style: none; padding: 0; } [type="submit"]:-moz-focusring { outline: 1px dotted ButtonText; } [type="search"] { -webkit-appearance: textfield; outline-offset: -2px; } [type="search"]::-webkit-search-cancel-button, [type="search"]::-webkit-search-decoration { -webkit-appearance: none; 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} } .menu-toggle div { background-color: #ffffff; height: 0.25rem; margin: 0.43rem; -webkit-transform: rotate(0deg); -ms-transform: rotate(0deg); transform: rotate(0deg); -webkit-transition: .15s ease-in-out; transition: .15s ease-in-out; -webkit-transform-origin: left center; -ms-transform-origin: left center; transform-origin: left center; } /* Text meant only for screen readers. */ .screen-reader-text { clip: rect(1px, 1px, 1px, 1px); position: absolute !important; height: 1px; width: 1px; overflow: hidden; } .screen-reader-text:focus { background-color: #fff; -webkit-border-radius: 3px; border-radius: 3px; -webkit-box-shadow: 0 0 2px 2px rgba(0, 0, 0, 0.6); box-shadow: 0 0 2px 2px rgba(0, 0, 0, 0.6); clip: auto !important; color: #21759b; display: block; font-size: 14px; font-size: 0.875rem; font-weight: bold; height: auto; left: 5px; line-height: normal; padding: 15px 23px 14px; text-decoration: none; top: 5px; width: auto; z-index: 100000; /* Above WP toolbar. */ } .site-header:before, .site-header:after, .site-content:before, .site-content:after, .site-footer:before, .site-footer:after { content: ""; 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} </style> <style id="scribbles-inline-css" type="text/css"> .hero{ background-image:url(); } .site-title a,.site-title a:visited{ color:#ffffff; } .site-title a:hover,.site-title a:visited:hover{ color:rgba(255, 255, 255, 0.8); } .site-search-wrapper .widget .search-field{ border-color:rgba(153, 153, 153, 0.25); } .hero{ color:#ffffff; } .main-navigation ul li a,.main-navigation ul li a:visited,.main-navigation ul li a:hover,.main-navigation ul li a:visited:hover{ color:#ffffff; } .menu-toggle div{ background-color:#ffffff; } .main-navigation ul li a,.main-navigation ul li a:visited,.main-navigation ul li a:hover,.main-navigation ul li a:visited:hover{ color:#ffffff; } .main-navigation ul li a:hover{ color:rgba(255, 255, 255, 0.8); } .main-navigation ul li a:hover{ color:rgba(255, 255, 255, 0.8); } h4,label,.widget-title{ color:#ffffff; } .footer-widget .widget-title{ color:#ffffff; border-color:#ffffff; } body,input,input[type="search"]:focus{ color:#e5e5e5; } input[type="search"]{ color:rgba(229, 229, 229, 0.5); border-color:rgba(229, 229, 229, 0.1); } .site-footer .widget-title,.site-footer h4{ color:#ffffff; } .footer-widget .widget-title{ border-color:#ffffff; } .site-footer .widget{ color:#ffffff; } .site-info-wrapper .site-info-text{ color:#686868; } a,a:visited{ color:#54ccbe; } a:hover,a:visited:hover,a:focus,a:visited:focus,a:active,a:visited:active{ color:rgba(84, 204, 190, 0.8); } input[type="submit"]{ background-color:#54ccbe; border-color:#54ccbe; } input[type="submit"]:hover,input[type="submit"]:active,input[type="submit"]:focus{ background-color:rgba(84, 204, 190, 0.8); border-color:rgba(84, 204, 190, 0.8); } input[type="submit"],input[type="submit"]:hover,input[type="submit"]:active,input[type="submit"]:focus{ color:#ffffff; } body{ background-color:#222222; } .hero{ background-color:#282828; } .hero{ -webkit-box-shadow:inset 0 0 0 9999em; -moz-box-shadow:inset 0 0 0 9999em; box-shadow:inset 0 0 0 9999em; color:rgba(40, 40, 40, 0.50); } .main-navigation-container{ background-color:#333333; } .main-navigation-container,.main-navigation-container:before,.main-navigation-container:after{ background-color:#333333; } .site-footer{ background-color:#282828; } .site-footer .widget{ background-color:#333333; } .site-info-wrapper{ background-color:#222222; } </style> <style type="text/css"> .site-title a,.site-title a:visited{color:#ffffff;} </style><style id="custom-background-css" type="text/css"> body.custom-background { background-color: ##222222; } </style> </head> <body class="custom-background custom-header-image layout-two-column-default"> <div class="hfeed site" id="page"> <a class="skip-link screen-reader-text" href="#">Skip to content</a> <header class="site-header" id="masthead" role="banner"> <div class="site-header-wrapper"> <div class="site-title-wrapper"> <div class="site-title"><a href="#" rel="home">{{ keyword }}</a></div> </div> <div class="hero"> <div class="hero-inner"> </div> </div> <div class="site-search-wrapper"> <div class="widget widget_search"><form action="#" class="search-form" method="get" role="search"> <label> <span class="screen-reader-text">Search for:</span> <input class="search-field" name="s" placeholder="Search " type="search" value=""/> </label> <input class="search-submit" type="submit" value="Search"/> </form></div> </div> </div> </header> <div class="main-navigation-container"> <div class="menu-toggle" id="menu-toggle"> <div></div> <div></div> <div></div> </div> <nav class="main-navigation" id="site-navigation"> <div class="menu-primary-menu-container"><ul class="menu" id="menu-primary-menu"><li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-home menu-item-170" id="menu-item-170"><a href="#">Home</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-172" id="menu-item-172"><a href="#">About Us</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-169" id="menu-item-169"><a href="#">Make A Difference</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page current_page_parent menu-item-166" id="menu-item-166"><a href="#">Blog</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-171" id="menu-item-171"><a href="#">Contact Us</a></li> </ul></div> </nav> </div> <div class="page-title-container"> </div> <div class="site-content" id="content"> {{ text }} </div> <footer class="site-footer" id="colophon"> <div class="site-footer-inner"> {{ links }} <div class="footer-widget-area columns-1"> <div class="footer-widget"> <aside class="widget wpcw-widgets wpcw-widget-social" id="wpcw_social-3"><h4 class="widget-title">Social Media</h4><ul><li class="no-label"><a href="#" target="_blank" title="Visit {{ keyword }} on Google+"><span class="fa fa-2x fa-google-plus"></span></a></li><li class="no-label"><a href="#" target="_blank" title="Visit {{ keyword }} on Twitter"><span class="fa fa-2x fa-twitter"></span></a></li><li class="no-label"><a href="#" target="_blank" title="Visit {{ keyword }} on LinkedIn"><span class="fa fa-2x fa-linkedin-square"></span></a></li><li class="no-label"><a href="#" target="_blank" title="Visit {{ keyword }} on Facebook"><span class="fa fa-2x fa-facebook-official"></span></a></li></ul></aside> </div> </div> </div> </footer> <div class="site-info-wrapper"> <div class="site-info"> <div class="site-info-inner"> <nav class="social-menu"> </nav> <div class="site-info-text"> Copyright 2017 {{ keyword }} </div> </div> </div> </div> </div> </body> </html>";s:4:"text";s:1161:"Δy. Forklar hvordan man i rummet bestemmer projektioner og vinkler mellem relevante objekter blandt punkter, linjer og planer. Udled sammenhængen mellem areal og det bestemte integral ved hjælp af arealfunktionen. 6. Bevis afstandsformlen for punkt og plan. Et matematisk bevis er en udledning af en formel, sætning eller et udtryk. Udled den rette linjes parameterfremstilling. Udled planens ligning. Udled differentialkvotienten for f(x) = x². Gør rede for to andre fremstillingsformer af rette linjer (graf, ligning). Differentialregning Gør rede for begrebet differentialkvotient, gerne med udgangspunkt i din rapport. Analytisk geometri (stxB og hfB) Udled cirklens ligning, og gør rede for mindst to metoder … Det at fremstille beviser har altid været af stor interesse i den teoretiske matematik. Men et bevis kan også bestå i at vise, at et udsagn/udtryk er korrekt, ved hjælp af logik og matematik. Er det tilfældet, siges funktionen at være differentiabel i x 0, og grænseværdien kaldes f '(x 0)(differentialkvotienten) (læses f mærke i x 0). 2. Giv et eksempel på hvordan man kan beregne et areal ved hjælp af integralregning. 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