(732, #55) Try to sketch by hand the curve of intersection of the circular cylinder
and the parabolic cylinder . Then find parametric equations for this curve using the parameter t, where , and use these equations and a computer to graph the curve.

Solution: The sketch should like somewhat like this:

As for the parametric equations is

then

Thus the parametric equations are:

The curve looks like a saddle:

Maple code

by: gm