202_2014_1_b_2.pdf - APM2616/202/1/2014 Tutorial Letter...

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BAR CODELearn without limits.universityof south africaTutorial Letter 202/1/2014Computer AlgebraAPM2616Semester 1Department of Mathematical SciencesIMPORTANT INFORMATION:This tutorial letter contains Solutionsto Assignment 02/2014/Semester 1.APM2616/202/1/2014
QUESTION 1Write MuPAD code to draw a graph that plots the functionsf(t) =esinxandg(t) =t21 +t2in theranget=-1 to 5. The axes should be appropriately labelled, and horizontal directions should bethe same. The graph offis to be blue and that ofggreen.[10]
[10]QUESTION 2Write MuPAD code to plot a spiral (ucosu,usinu) coloured blue so as to produce the result givenbelow.[10]
[10]2
APM2616/202QUESTION 3Plot contours of the functionf(u,v) =u2-3vatf= 0, 1, 2, 3 and 4. The axes, contours and graphshould be appropriately labelled.[10]
[10]QUESTION 4Using smooth functions, construct a3Dgraph that looks like a wide-brimmed hat.[10]
3

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Term
Winter
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Equations, Reddy B D

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