{"id":85,"date":"2005-07-04T23:08:22","date_gmt":"2005-07-04T23:08:22","guid":{"rendered":"http:\/\/www.sixthform.info\/maths\/?p=85"},"modified":"2005-07-04T23:08:22","modified_gmt":"2005-07-04T23:08:22","slug":"getting-help","status":"publish","type":"post","link":"https:\/\/www.sixthform.info\/maths\/?p=85","title":{"rendered":"Getting help"},"content":{"rendered":"<p>At the <a href=\"http:\/\/www.sosmath.com\/CBB\/index.php\" target=\"_blank\">S.O.S. Mathematics Cyberboard<\/a> there&#8217;s a nice example of how students can spend all day struggling with a problem, but with a little help they can see their way to solving it in seconds. Such forums are great for getting those little nudges in the right direction that are so crucial in mathematics.<\/p>\n<p>The student was trying to solve:<\/p>\n<ul>For <img src='\/maths\/latexrender\/pictures\/0ec6dcfcbf7cc99ba8cc9e823ec7db0f.gif' title='a,b,x,y \\in \\mathbb{R}' alt='a,b,x,y \\in \\mathbb{R}' align=absmiddle> show that if <img src='\/maths\/latexrender\/pictures\/6fe784c7c2b0dcbd5c28cfebecf6f7f6.gif' title='|x-a|&lt; \\varepsilon' alt='|x-a|&lt; \\varepsilon' align=absmiddle> and <img src='\/maths\/latexrender\/pictures\/a124b5bb4adeef684b1040241006ae9e.gif' title='|y-b|&lt;\\varepsilon' alt='|y-b|&lt;\\varepsilon' align=absmiddle> then <img src='\/maths\/latexrender\/pictures\/d478597ec22ef770c519b938877ab6cb.gif' title='|xy-ab|&lt;\\left(|a|+|b|\\right)\\varepsilon+\\varepsilon^2' alt='|xy-ab|&lt;\\left(|a|+|b|\\right)\\varepsilon+\\varepsilon^2' align=absmiddle><\/ul>\n<p>If you&#8217;ve had a go and would like the &#8216;nudge&#8217; the forum provided then click here<!--more--><br \/>\nLet <img src='\/maths\/latexrender\/pictures\/ccf12b678ae247ce3102bccdf4c594d3.gif' title='x=a+r' alt='x=a+r' align=absmiddle> and <img src='\/maths\/latexrender\/pictures\/996614f43fe8491faf6cd97d062d61fe.gif' title='y=b+s' alt='y=b+s' align=absmiddle> so <img src='\/maths\/latexrender\/pictures\/4b78fc03617a6f110c499f0f52b997a2.gif' title='|r|,|s|&lt;\\varepsilon' alt='|r|,|s|&lt;\\varepsilon' align=absmiddle>. Then calculate <img src='\/maths\/latexrender\/pictures\/afd2dfee3b9f21d27626d182dbda26e3.gif' title='xy-ab' alt='xy-ab' align=absmiddle><\/p>\n","protected":false},"excerpt":{"rendered":"<p>At the S.O.S. Mathematics Cyberboard there&#8217;s a nice example of how students can spend all day struggling with a problem, but with a little help they can see their way to solving it in seconds. Such forums are great for getting those little nudges in the right direction that are so crucial in mathematics. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-85","post","type-post","status-publish","format-standard","hentry","category-articles"],"_links":{"self":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/85","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=85"}],"version-history":[{"count":0,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=\/wp\/v2\/posts\/85\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=85"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=85"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sixthform.info\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=85"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}