Find the equation for the surface of revolution by revolving
about the x- axis
Okay, this is far as i can get
What should i do to solve this?
Find the equation for the surface of revolution by revolving
about the x- axis
Okay, this is far as i can get
What should i do to solve this?
Are you sure that the question asks for revolution about the y-axis? Because that doesn't make a lot of sense to me. The equation defines a plane curve in the -plane, which would be perpendicular to the -axis. The axis of revolution should be in the same plane as the generating curve.
Okay, that's better.
Let's let . For a fixed point on this curve , revolving the point about the -axis produces a circle parallel to the -plane whose equation is . Replacing with the independent variable gives us an equation for the resulting surface of revolution:
As you can see from the equation, this surface is an ellipsoid.