{"id":2065,"date":"2020-06-30T09:10:34","date_gmt":"2020-06-30T09:10:34","guid":{"rendered":"http:\/\/ibalmaths.com\/?post_type=knowledgebase&#038;p=2065"},"modified":"2020-07-15T04:32:47","modified_gmt":"2020-07-15T04:32:47","slug":"practice-questions","status":"publish","type":"knowledgebase","link":"https:\/\/ibalmaths.com\/index.php\/ibdp-math-hl-2\/properties-of-curves\/practice-questions\/","title":{"rendered":"Practice Questions"},"content":{"rendered":"<p>1.<\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-2076\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-34.jpg\" alt=\"\" width=\"886\" height=\"982\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-34.jpg 886w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-34-271x300.jpg 271w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-34-768x851.jpg 768w\" sizes=\"auto, (max-width: 886px) 100vw, 886px\" \/><\/p>\r\n<div id=\"link1-link-2065\" class=\"sh-link link1-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link1', 2065, 'Solution1', 'Hide Solution1'); return false;\" aria-expanded=\"false\"><span id=\"link1-toggle-2065\">Solution1<\/span><\/a><\/div><div id=\"link1-content-2065\" class=\"sh-content link1-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2073 size-full\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-33.jpg\" alt=\"\" width=\"357\" height=\"741\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-33.jpg 357w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-33-145x300.jpg 145w\" sizes=\"auto, (max-width: 357px) 100vw, 357px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p>2. A curve has equation\u00a0\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>y<\/mi><mo>=<\/mo><mn>2<\/mn><msup><mi>x<\/mi><mn>2<\/mn><\/msup><mo>&#8211;<\/mo><mn>8<\/mn><mi>x<\/mi><msqrt><mi>x<\/mi><\/msqrt><mo>+<\/mo><mn>8<\/mn><mi>x<\/mi><mo>+<\/mo><mn>1<\/mn><\/math>\r\n \u00a0 for\u00a0 \r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>x<\/mi><mo>&#8805;<\/mo><mn>0<\/mn><\/math>\r\n<\/p>\r\n<p>\u00a0(a) Prove that the curve has a maximum point at (1, 3). Fully justify your answer.<\/p>\r\n<p>(b) Find the coordinates of the other stationary point of the curve and state its nature.<\/p>\r\n<div id=\"link2-link-2065\" class=\"sh-link link2-link sh-hide\"><a href=\"#\" onclick=\"showhide_toggle('link2', 2065, 'Solution2', 'Hide Solution2'); return false;\" aria-expanded=\"false\"><span id=\"link2-toggle-2065\">Solution2<\/span><\/a><\/div><div id=\"link2-content-2065\" class=\"sh-content link2-content sh-hide\" style=\"display: none;\"><\/p>\r\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-2092 size-full\" src=\"http:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-37.jpg\" alt=\"\" width=\"300\" height=\"746\" srcset=\"https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-37.jpg 300w, https:\/\/ibalmaths.com\/wp-content\/uploads\/2020\/06\/1-37-121x300.jpg 121w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/p>\r\n<p>\u00a0<\/div>\r\n<p>3.\u00a0<\/p><!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"1. 2. A curve has equation\u00a0\u00a0 y=2&#215;2&#8211;8xx+8x+1 \u00a0 for\u00a0 x&#8805;0 \u00a0(a) Prove that the curve has a maximum point at (1, 3). Fully justify your answer. (b) Find the coordinates of the other stationary point of the curve and state its nature. 3.\u00a0<!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt -->","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-2065","knowledgebase","type-knowledgebase","status-publish","hentry","knowledgebase_cat-properties-of-curves","no-wpautop"],"_links":{"self":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2065","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase"}],"about":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/types\/knowledgebase"}],"author":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/comments?post=2065"}],"version-history":[{"count":9,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2065\/revisions"}],"predecessor-version":[{"id":2116,"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/knowledgebase\/2065\/revisions\/2116"}],"wp:attachment":[{"href":"https:\/\/ibalmaths.com\/index.php\/wp-json\/wp\/v2\/media?parent=2065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}