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Question: Volume plot and its projection

Question:Volume plot and its projection

WernerP 20 Maple 2017
volume region plotting
August 31 2017
1

I'm trying to figure out how to plot the following: if I have a region G in R^2, and two functions f <= g on G, I would like to plot the projection on the XY-plane in say one colour and the volume between f and g in another. For example, consider G the region between the parabolae y=x^2 and y=2-x^2, and f(x,y) = x+y+4 and g(x,y) = 25-x^2-y^2, just to name something. I'd also prefer the plot to be easy adaptable to other functions, e.g. with a different region G, different function descriptions for f and g but also, if possible, projection on one of the other two coordinate planes. Is there an easy way to do this?
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