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Solve the Problem x=y3x = y ^ { 3 } Is Revolved About The

Question 193

Essay

Solve the problem.
-The curve x=y3x = y ^ { 3 } is revolved about the xx -axis. Find a parametrization of the surface of revolution and then find the equation of the tangent plane at the point (x,y,z)=(8,0,2)( x , y , z ) = ( 8,0,2 ) .

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