MaplePrimes - Questions and Posts tagged with calculus
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en-us2015 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemFri, 27 Nov 2015 02:46:48 GMTFri, 27 Nov 2015 02:46:48 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
What'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 ZMichMacDMichMacDInflection Points?
http://www.mapleprimes.com/questions/206230-Inflection-Points?ref=Feed:MaplePrimes:Tagged With calculus
<p>How would I find inflection points? I believe it would the same as if I was finding critical points for f '.</p>
<p>Function is:(7-x)*sin(x^2-7)</p>
<p><span style="font-size: 10px;">So would it be:</span></p>
<p>a:=fsolve(f2,-2.4..2.4);<br>b:=fsolve(f2,-2.4..-0.06);<br>c:=fsolve(f2,-0.06..2.4);<br>d:=fsolve(f2,1.49..3);<br>e:=fsolve(f2,-3 ..-1.52);</p>
<p> </p>
<p>Plz and thanks!</p><p>How would I find inflection points? I believe it would the same as if I was finding critical points for f '.</p>
<p>Function is:(7-x)*sin(x^2-7)</p>
<p><span style="font-size: 10px;">So would it be:</span></p>
<p>a:=fsolve(f2,-2.4..2.4);<br />b:=fsolve(f2,-2.4..-0.06);<br />c:=fsolve(f2,-0.06..2.4);<br />d:=fsolve(f2,1.49..3);<br />e:=fsolve(f2,-3 ..-1.52);</p>
<p> </p>
<p>Plz and thanks!</p>206230Sun, 18 Oct 2015 06:09:12 Ziamcool23iamcool23Solving Critical Points on Maple?
http://www.mapleprimes.com/questions/206225-Solving-Critical-Points-On-Maple?ref=Feed:MaplePrimes:Tagged With calculus
<p>Hi,</p>
<p>Ive been trying to solve critical points for maple but i keep getting this werid equation:</p>
<p>(1/7)*RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)+1+(1/14)*tan(RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)).</p>
<p> </p>
<p>What I have typed</p>
<p>f:=x->(7-x)*sin(x^2-7);</p>
<p>f1:=D(f);</p>
<p>When I try putting:</p>
<p>solve(f1(x)=0);</p>
<p>I get that werid equation</p>
<p> </p><p>Hi,</p>
<p>Ive been trying to solve critical points for maple but i keep getting this werid equation:</p>
<p>(1/7)*RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)+1+(1/14)*tan(RootOf(tan(_Z)^2+4*_Z*tan(_Z)+4*_Z^2+28*tan(_Z)-140*_Z-1176)).</p>
<p> </p>
<p>What I have typed</p>
<p>f:=x->(7-x)*sin(x^2-7);</p>
<p>f1:=D(f);</p>
<p>When I try putting:</p>
<p>solve(f1(x)=0);</p>
<p>I get that werid equation</p>
<p> </p>206225Sat, 17 Oct 2015 21:48:18 Ziamcool23iamcool23