Suppose I have two functions f(y) and g(y), how do I plot the surface rotated about the axes in Maple? Assume you cannot write f(y) or g(y) in terms of x. Maple only allows g(x) and f(x)
How to make Maple 15 plot VolumeOfRevolution with implicity function?
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1 Answers
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Do you mean you want to revolve the region between $x=f(y)$ and $x= g(y)$ around the $x$ axis? What you can do is rotate the region between $y=f(x)$ and $y=g(x)$ around the $y$ axis, and then change the orientation using transform in the plottools package. For example:
f:= y -> 2 - y^2;
g:= y -> 1 + y^2;
with(Student[Calculus1]): with(plottools):
A:= VolumeOfRevolution(f(x), g(x), x = 0 .. 1/sqrt(2), output = plot, axis = horizontal, caption = "", scaling=constrained, axes=frame):
transform((x,y,z) -> [z, y, x])(A);