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# Introduction to Differential Calculus

A Mini Topic Exam for IB Maths Studies

Q1

• Difficulty: Medium
###### Mark Scheme (a) Video Solution /* <![CDATA[ */ jQuery(document).ready(function(\$){ \$(function(){ var width = \$(window).innerWidth(); var setwidth = 853; var ratio = 0.56271981242673; var height = 480; var link = 'https://vimeo.com/249638697?width=853&height=480'; if(width < setwidth) { height = Math.floor(width * 0.56271981242673); //console.log("device width "+width+", set width "+853+", ratio "+0.56271981242673+", new height "+ height); var new_url = wpvl_paramReplace('width', link, width); var new_url = wpvl_paramReplace('height', new_url, height); \$("a#5ab3824522100").attr('href', new_url); //console.log(new_url); } }); }); /* ]]&gt; */ (b) Video Solution /* <![CDATA[ */ jQuery(document).ready(function(\$){ \$(function(){ var width = \$(window).innerWidth(); var setwidth = 853; var ratio = 0.56271981242673; var height = 480; var link = 'https://vimeo.com/249638830?width=853&height=480'; if(width < setwidth) { height = Math.floor(width * 0.56271981242673); //console.log("device width "+width+", set width "+853+", ratio "+0.56271981242673+", new height "+ height); var new_url = wpvl_paramReplace('width', link, width); var new_url = wpvl_paramReplace('height', new_url, height); \$("a#5ab3824522196").attr('href', new_url); //console.log(new_url); } }); }); /* ]]&gt; */

Q2

• Difficulty: Medium
###### Mark Scheme (a) Video Solution /* <![CDATA[ */ jQuery(document).ready(function(\$){ \$(function(){ var width = \$(window).innerWidth(); var setwidth = 853; var ratio = 0.56271981242673; var height = 480; var link = 'https://vimeo.com/249639623?width=853&height=480'; if(width < setwidth) { height = Math.floor(width * 0.56271981242673); //console.log("device width "+width+", set width "+853+", ratio "+0.56271981242673+", new height "+ height); var new_url = wpvl_paramReplace('width', link, width); var new_url = wpvl_paramReplace('height', new_url, height); \$("a#5ab3824524afd").attr('href', new_url); //console.log(new_url); } }); }); /* ]]&gt; */ (b) Video Solution /* <![CDATA[ */ jQuery(document).ready(function(\$){ \$(function(){ var width = \$(window).innerWidth(); var setwidth = 853; var ratio = 0.56271981242673; var height = 480; var link = 'https://vimeo.com/249639878?width=853&height=480'; if(width < setwidth) { height = Math.floor(width * 0.56271981242673); //console.log("device width "+width+", set width "+853+", ratio "+0.56271981242673+", new height "+ height); var new_url = wpvl_paramReplace('width', link, width); var new_url = wpvl_paramReplace('height', new_url, height); \$("a#5ab3824524b80").attr('href', new_url); //console.log(new_url); } }); }); /* ]]&gt; */

Q3

• Difficulty: Hard