http://www.mapleprimes.com/questions/144622-Help-With-Maple-Equations en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Tue, 09 Jun 2026 16:15:53 GMT Tue, 09 Jun 2026 16:15:53 GMT The latest answers and comments added to the Question, Help with Maple Equations http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/144622-Help-With-Maple-Equations http://www.mapleprimes.com/questions/144622-Help-With-Maple-Equations?ref=Feed:MaplePrimes:Help with Maple Equations:Comments#answer144623 <p>The links to your uploaded worksheets are not working. But the idea of the problem is that the integral of f(x) from 0 to c must equal 1. </p> <p><strong>eqn:= int(x^2/9, x= 0..c) = 1;</strong><br><strong>solve({eqn, c&gt;0}, c);</strong></p> <p>The links to your uploaded worksheets are not working. But the idea of the problem is that the integral of f(x) from 0 to c must equal 1. </p> <p><strong>eqn:= int(x^2/9, x= 0..c) = 1;</strong><br><strong>solve({eqn, c&gt;0}, c);</strong></p> 144623 Thu, 14 Mar 2013 16:01:59 Z Carl Love Carl Love http://www.mapleprimes.com/questions/144622-Help-With-Maple-Equations?ref=Feed:MaplePrimes:Help with Maple Equations:Comments#answer144646 <p>Once you do the first problem, you know that <strong>c = 3</strong>. That allows you to set the <strong>Support</strong> option of the <strong>Statistics:-Distribution </strong>command. <br> </p> <form name="worksheet_form"> <table style="width: 480px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">with(Statistics):</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">MyDist:= Distribution(PDF= (x-&gt; x^2/9), Support= 0..3):</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">[Mean, Variance, StandardDeviation](MyDist);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/0d7f4d6f54c1e627b08fd1ca52cd818b.gif" alt="[9/4, 27/80, (3/20)*15^(1/2)]" width="135" height="42"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">You should also learn the more-traditional ways:</span></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">f:= x-&gt; x^2/9:</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">mean = Int(x*'f'(x), x= 0..3);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -22;" src="/view.aspx?sf=144646/456158/14c12df463e0a1e2310992ceb92c3782.gif" alt="mean = Int(x*f(x), x = 0 .. 3)" width="119" height="54"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">value(%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/7ab0ee25df57fcf5576e64e27fde6676.gif" alt="mean = 9/4" width="71" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">mu:= eval(mean,%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/2f184f8b56167172be148d33823f4388.gif" alt="9/4" width="51" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">variance = Int((x-'mu')^2*'f'(x), x= 0..3);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -22;" src="/view.aspx?sf=144646/456158/41b7db34c8a44d156fd54d05d5599d9b.gif" alt="variance = Int((x-mu)^2*f(x), x = 0 .. 3)" width="189" height="54"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">value(%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/f84fd73809df72a955f415d3aee06f5c.gif" alt="variance = 27/80" width="99" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">stdev:= sqrt(eval(variance,%));</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/ebfe4810ba6c5f0bf990d76cdcdfbdba.gif" alt="(3/20)*15^(1/2)" width="116" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p><br> </p> <p><a href="/view.aspx?sf=144646/456158/Stats.mw">Download Stats.mw</a></p> <p>Once you do the first problem, you know that <strong>c = 3</strong>. That allows you to set the <strong>Support</strong> option of the <strong>Statistics:-Distribution </strong>command. <br> </p> <form name="worksheet_form"> <table style="width: 480px;" align="center"> <tbody> <tr> <td> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">with(Statistics):</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">MyDist:= Distribution(PDF= (x-&gt; x^2/9), Support= 0..3):</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">[Mean, Variance, StandardDeviation](MyDist);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/0d7f4d6f54c1e627b08fd1ca52cd818b.gif" alt="[9/4, 27/80, (3/20)*15^(1/2)]" width="135" height="42"></p> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #000000; font-size: 100%; font-family: Times New Roman,serif; font-weight: normal; font-style: normal;">You should also learn the more-traditional ways:</span></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">f:= x-&gt; x^2/9:</span></p> </td> </tr> </tbody> </table> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">mean = Int(x*'f'(x), x= 0..3);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -22;" src="/view.aspx?sf=144646/456158/14c12df463e0a1e2310992ceb92c3782.gif" alt="mean = Int(x*f(x), x = 0 .. 3)" width="119" height="54"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">value(%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/7ab0ee25df57fcf5576e64e27fde6676.gif" alt="mean = 9/4" width="71" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">mu:= eval(mean,%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/2f184f8b56167172be148d33823f4388.gif" alt="9/4" width="51" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">variance = Int((x-'mu')^2*'f'(x), x= 0..3);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -22;" src="/view.aspx?sf=144646/456158/41b7db34c8a44d156fd54d05d5599d9b.gif" alt="variance = Int((x-mu)^2*f(x), x = 0 .. 3)" width="189" height="54"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">value(%);</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/f84fd73809df72a955f415d3aee06f5c.gif" alt="variance = 27/80" width="99" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">stdev:= sqrt(eval(variance,%));</span></p> </td> </tr> </tbody> </table> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="center"><img style="vertical-align: -16;" src="/view.aspx?sf=144646/456158/ebfe4810ba6c5f0bf990d76cdcdfbdba.gif" alt="(3/20)*15^(1/2)" width="116" height="42"></p> <table style="margin-left: 0px; margin-right: 0px;"> <tbody> <tr valign="baseline"> <td><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;"> &gt;&nbsp;</span></td> <td> <p style="margin: 0 0 0 0; padding-top: 0px; padding-bottom: 0px;" align="left"><span style="color: #78000e; font-size: 100%; font-family: Courier New,monospace; font-weight: bold; font-style: normal;">&nbsp; </span></p> </td> </tr> </tbody> </table> </td> </tr> </tbody> </table> <input type="hidden" name="sequence" value="1"> <input type="hidden" name="cmd" value="none"></form> <p><br> </p> <p><a href="/view.aspx?sf=144646/456158/Stats.mw">Download Stats.mw</a></p> 144646 Fri, 15 Mar 2013 03:18:35 Z Carl Love Carl Love http://www.mapleprimes.com/questions/144622-Help-With-Maple-Equations?ref=Feed:MaplePrimes:Help with Maple Equations:Comments#comment144643 <p>how do I find the mean, variance and standard deviation of this?</p> <p>how do I find the mean, variance and standard deviation of this?</p> 144643 Fri, 15 Mar 2013 01:34:20 Z knovick knovick