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Question: Surface of revolution starting from an arbitrary 2D-curve

Question:Surface of revolution starting from an arbitrary 2D-curve

WernerP 20 Maple
plot surface-of-revolution
July 05 2017
0

Suppose I want to revolve the curve given in the (X,Y)-plane by the set of parametric equations

x(t) = cos(t) + t sin(t)

y(t) = sin(t) - t cos(t)

 

for t in [0,Pi/2] around the X-axis. How can I plot the given surface of revolution? Similarly, the same question for

x(t) = exp(t)*cos(t)

y(t) = exp(t)*sin(t)

 

for t in [0,Pi/2]
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