MaplePrimes - Questions and Posts tagged with calculus
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en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemThu, 11 Feb 2016 04:28:37 GMTThu, 11 Feb 2016 04:28:37 GMTThe most recent questions and posts on MaplePrimes tagged with calculushttp://www.mapleprimes.com/images/mapleprimeswhite.jpgMaplePrimes - Questions and Posts tagged with calculus
http://www.mapleprimes.com/tags/calculus
How to differentiate this?
http://www.mapleprimes.com/questions/208657-How-To-Differentiate-This?ref=Feed:MaplePrimes:Tagged With calculus
<p>diff(F(x,F(x)), x);</p>
<p> </p>
<p>how to differentiate this?</p>
<p> </p>
<p>(D[1](F))(x, F(x))+(D[2](F))(x, F(x))*(diff(F(x), x))</p>
<p> </p>
<p>how to find (D[1](F))(x, F(x)) and (D[2](F))(x, F(x)) ?</p>
<p> </p>
<p>i guess need define new calculus for two variables</p>
<p>Limit((F(x+h,F(x+h)) - F(x,F(x)))/h, h = 0);</p>
<p>Limit((F(x+h,F(x)) - F(x,F(x)))/h, h = 0);<br>Limit((F(x,F(x+h)) - F(x,F(x)))/h, h = 0);</p>
<p>Limit((F(x+h,F(x,y)) - F(x,F(x,y)))/h, h = 0);<br>Limit((F(x,F(x+h,y)) - F(x,F(x,y)))/h, h = 0);</p>
<p> </p>
<p>if inside F(x) is F(x,y)</p>
<p>it seems need to find the basic definition of F(x,y) first</p>
<p>if i define F(x,y) as</p>
<p>F := (x,y) -> min(x,y)/max(x,y);</p>
<p> </p>
<p>i may be wrong, how to differentiate correctly?</p><p>diff(F(x,F(x)), x);</p>
<p> </p>
<p>how to differentiate this?</p>
<p> </p>
<p>(D[1](F))(x, F(x))+(D[2](F))(x, F(x))*(diff(F(x), x))</p>
<p> </p>
<p>how to find (D[1](F))(x, F(x)) and (D[2](F))(x, F(x)) ?</p>
<p> </p>
<p>i guess need define new calculus for two variables</p>
<p>Limit((F(x+h,F(x+h)) - F(x,F(x)))/h, h = 0);</p>
<p>Limit((F(x+h,F(x)) - F(x,F(x)))/h, h = 0);<br>Limit((F(x,F(x+h)) - F(x,F(x)))/h, h = 0);</p>
<p>Limit((F(x+h,F(x,y)) - F(x,F(x,y)))/h, h = 0);<br>Limit((F(x,F(x+h,y)) - F(x,F(x,y)))/h, h = 0);</p>
<p> </p>
<p>if inside F(x) is F(x,y)</p>
<p>it seems need to find the basic definition of F(x,y) first</p>
<p>if i define F(x,y) as</p>
<p>F := (x,y) -> min(x,y)/max(x,y);</p>
<p> </p>
<p>i may be wrong, how to differentiate correctly?</p>208657Wed, 20 Jan 2016 16:16:09 Zasa12asa12New study guide
http://www.mapleprimes.com/posts/202359-New-Study-Guide?ref=Feed:MaplePrimes:Tagged With calculus
<p>A new Maple e-book, Multivariate Calculus Study Guide, is now available. Part of the Clickable Calculus collection of interactive Maple e-books, this guide takes full advantage of Maple’s Clickable Math approach. It has over 600 worked examples, the vast majority of which are solved using interactive, Clickable Math techniques. </p>
<p>Deisgned to help students taking this course, instructors may also find this e-book useful as a guide to using Clickable Math to teach Multivariate Calculus.</p>
<p>See <a href="http://www.maplesoft.com/products/studyguides/multivariatecalculus/index.aspx">Multivariate Calculus Study Guide</a> for more information.</p>
<p> </p>
<p>eithne</p><p>A new Maple e-book, Multivariate Calculus Study Guide, is now available. Part of the Clickable Calculus collection of interactive Maple e-books, this guide takes full advantage of Maple’s Clickable Math approach. It has over 600 worked examples, the vast majority of which are solved using interactive, Clickable Math techniques. </p>
<p>Deisgned to help students taking this course, instructors may also find this e-book useful as a guide to using Clickable Math to teach Multivariate Calculus.</p>
<p>See <a href="http://www.maplesoft.com/products/studyguides/multivariatecalculus/index.aspx">Multivariate Calculus Study Guide</a> for more information.</p>
<p> </p>
<p>eithne</p>202359Fri, 15 Jan 2016 19:07:43 ZeithneeithneWhat's wrong with this code?
http://www.mapleprimes.com/questions/206756-Whats-Wrong-With-This-Code-?ref=Feed:MaplePrimes:Tagged With calculus
<p>and why are there decimal points after certain numbers?</p>
<p>I'm taking 2nd semester calculus and in this maple lab, I can't seem to get Maple to evaluate this correctly. Any help is appreciated.<img src="http://s17.postimg.org/d38pdycrz/Capture.png" alt="" width="961" height="357"></p>
<p>My friend did this and got the first constant, 392..., and just a<sup>2</sup>, so it was 392.07a<sup>2</sup></p><p>and why are there decimal points after certain numbers?</p>
<p>I'm taking 2nd semester calculus and in this maple lab, I can't seem to get Maple to evaluate this correctly. Any help is appreciated.<img src="http://s17.postimg.org/d38pdycrz/Capture.png" alt="" width="961" height="357"></p>
<p>My friend did this and got the first constant, 392..., and just a<sup>2</sup>, so it was 392.07a<sup>2</sup></p>206756Fri, 06 Nov 2015 16:27:03 ZcakekindelcakekindelCalculus assignment
http://www.mapleprimes.com/questions/206600-Calculus-Assignment?ref=Feed:MaplePrimes:Tagged With calculus
<p>I am doing a Calculus assignment and I can't find the commands for certain things.</p>
<p>1.Given the function f(x) = ((x+1)^2) / (1+x^2)</p>
<p>i) The domain of continuity of f(x)</p>
<p>ii) The intervals of increase and decrease of f(x) by using test points.</p>
<p> </p>
<p>2. Use the IVT to prove existence of a root to the equation x^3 +10x^2 -100x +50=0 in the interval [-20,10]. Use again the IVT to show that there is a 1st root in [-17,-15], a 2nd toot in [0,1] and a 3rd root in [ 5,6]. <strong>Find or approximate those roots with Maple. </strong>(the bolded is what I need help).</p><p>I am doing a Calculus assignment and I can't find the commands for certain things.</p>
<p>1.Given the function f(x) = ((x+1)^2) / (1+x^2)</p>
<p>i) The domain of continuity of f(x)</p>
<p>ii) The intervals of increase and decrease of f(x) by using test points.</p>
<p> </p>
<p>2. Use the IVT to prove existence of a root to the equation x^3 +10x^2 -100x +50=0 in the interval [-20,10]. Use again the IVT to show that there is a 1st root in [-17,-15], a 2nd toot in [0,1] and a 3rd root in [ 5,6]. <strong>Find or approximate those roots with Maple. </strong>(the bolded is what I need help).</p>206600Sun, 01 Nov 2015 22:04:48 ZmathandstatsmathandstatsEvaluating target function at list
http://www.mapleprimes.com/questions/206441-Evaluating-Target-Function-At--List?ref=Feed:MaplePrimes:Tagged With calculus
<p>So I am using the with(Student[MultivariateCalculus]); package to find the maximum and minimum of the fumction xyz to the given constraint: LagrangeMultipliers(x*y*z, [x^2+4*y^2+4*z^2-4], [x, y, z]) and I got 14 points. But to find the global maximum/minimum I need to evaluate all these points in the main function xyz. I tried converting it to a list and doing something and checked out this thread but it's only for single variable stuff so I am not sure how to extrappolate it to my case.</p>
<p>http://www.mapleprimes.com/questions/202529-Evaluating-A-Function-At-More-Than-One-Point#</p>
<p>These were my points by the way, Yeah lots.</p>
<p>[0, 0, 1], [0, 0, -1], [0, 1, 0], [0, -1, 0], [2, 0, 0], [-2, 0, 0], [(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)]</p><p>So I am using the with(Student[MultivariateCalculus]); package to find the maximum and minimum of the fumction xyz to the given constraint: LagrangeMultipliers(x*y*z, [x^2+4*y^2+4*z^2-4], [x, y, z]) and I got 14 points. But to find the global maximum/minimum I need to evaluate all these points in the main function xyz. I tried converting it to a list and doing something and checked out this thread but it's only for single variable stuff so I am not sure how to extrappolate it to my case.</p>
<p>http://www.mapleprimes.com/questions/202529-Evaluating-A-Function-At-More-Than-One-Point#</p>
<p>These were my points by the way, Yeah lots.</p>
<p>[0, 0, 1], [0, 0, -1], [0, 1, 0], [0, -1, 0], [2, 0, 0], [-2, 0, 0], [(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), (1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), -(1/3)*sqrt(3)], [(2/3)*sqrt(3), -(1/3)*sqrt(3), -(1/3)*sqrt(3)], [-(2/3)*sqrt(3), (1/3)*sqrt(3), (1/3)*sqrt(3)]</p>206441Tue, 27 Oct 2015 03:38:54 ZbloodtalonbloodtalonTwo problems in calculus
http://www.mapleprimes.com/questions/206360-Two-Problems-In-Calculus?ref=Feed:MaplePrimes:Tagged With calculus
206360Thu, 22 Oct 2015 18:09:45 ZMichMacDMichMacD