The equations we are given are:
We must parametrize all solutions of this equation as a set of points . Hint: What happens when the second equation is subtracted from the first?
Ellipsoid has equation
It fits inside a cylinder, which if I did the math correctly, is Parameterize the curve of intersection of the ellipsoid with the elliptic cylinder.
So I'm looking for a function that describes where the ellipsoid touches the cylinder?
I'm not sure where to start