{"id":266,"date":"2010-04-16T07:32:53","date_gmt":"2010-04-16T13:32:53","guid":{"rendered":"http:\/\/augerhandle.net\/blogs\/jumpingfish\/?p=266"},"modified":"2010-04-16T07:32:53","modified_gmt":"2010-04-16T13:32:53","slug":"calculus-problems","status":"publish","type":"post","link":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/2010\/04\/16\/calculus-problems\/","title":{"rendered":"Calculus Problems"},"content":{"rendered":"<p>&#8220;Hi Dad.&#8221;<\/p>\n<p>&#8220;Ben!&#8221;<\/p>\n<p>&#8220;Are you busy?&#8221;<\/p>\n<p>&#8220;No.  I&#8217;m at a conference, but we just took a break.&#8221;<\/p>\n<p>&#8220;Should I call back later?&#8221;<\/p>\n<p>&#8220;No, no.  Now is fine.  What&#8217;s up?&#8221;<\/p>\n<p>&#8220;Well,&#8221; he said, &#8220;I have some calculus questions.&#8221;<\/p>\n<p>I thought to myself, well it this really <em><strong>is<\/strong><\/em> a call I needed to take!  He explained how they&#8217;re doing optimization problems, and he proceeded to explain some problems he was working on.  <\/p>\n<p>The first problem: find the size of a cylinder inscribed in a sphere that has maximum volume.  We talked the problem definition thru and I had him draw a diagram illustrating the relevant quantities, and within a few minutes, he was telling me how to solve it.<\/p>\n<p>Then he described his second problem: finding a maximal volume cone.  We talked again about the problem definition and discussed another diagram, and again he was telling me how to solve it in a few minutes.  <\/p>\n<p>Finally he described his last problem.  This one, I confess, I didn&#8217;t master.  I needed a pencil and paper and a few minutes to look at the problem and think.  In the meantime, we discussed the problem definition, and I had him draw a picture.  And as I talked my way in circles, he began to solve it.<\/p>\n<p>And that was it.<\/p>\n<p>&#8220;Thanks Dad.  Are you having a good time at your conference?&#8221;<\/p>\n<p>&#8220;Yeah,&#8221; I said in a fairly noncommittal tone, omitting that I really wanted to see that paper that was going on then.<\/p>\n<p>&#8220;That&#8217;s good.&#8221;<\/p>\n<p>&#8220;What have you been doing?&#8221; I asked.<\/p>\n<p>&#8220;Studying in the library.&#8221;<\/p>\n<p>Music to my ears.<\/p>\n<p>And so that was the end of our conversation.  We said goodbyes and I-love-yous, and I went back into Salon-1.  As I closed the door behind me, the speaker said said, &#8220;And in conclusion&#8230;&#8221;  I chuckled to myself.  <\/p>\n<p>That&#8217;s ok.  I would catch his paper when he gave it again the next day.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;Hi Dad.&#8221; &#8220;Ben!&#8221; &#8220;Are you busy?&#8221; &#8220;No. I&#8217;m at a conference, but we just took a break.&#8221; &#8220;Should I call back later?&#8221; &#8220;No, no. Now is fine. What&#8217;s up?&#8221; &#8220;Well,&#8221; he said, &#8220;I have some calculus questions.&#8221; I thought to myself, well it this really is a call I needed to take! He explained how [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[7,9],"_links":{"self":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/266"}],"collection":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/comments?post=266"}],"version-history":[{"count":1,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/266\/revisions"}],"predecessor-version":[{"id":267,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/posts\/266\/revisions\/267"}],"wp:attachment":[{"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/media?parent=266"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/categories?post=266"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/augerhandle.net\/blogs\/jumpingfish\/wp-json\/wp\/v2\/tags?post=266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}