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Question: 'Family' of surfaces in 3D, how constants change shape

Question:'Family' of surfaces in 3D, how constants change shape

Unununium111 15 Maple
parameter 3d plotting
January 20 2011
1

Hello,

I am working on a problem that I can't seem to figure out the plot commands in Maple. The problem is this...

Given a family of surfaces described by z=(ax^2 +by^2)*(exp(-x^2*-y^2))

I need to obtain a 3D plot of these surfaces and, from the graph of the surfaces, explain how constants a and b will change the shape of the graph. I cannot find the syntax required so plot such a function, but I have been trying using spacecurve(). Does the equation need to be plotted to see how a and b effect the plot, or can rearranging it (the proper way)more accurately allude to the influences of a and b?

Thanks for the help in advance...I LOVE mapleprimes!!

111
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