Say you are given the equations:
$x + y + z = 6$ and $x^2 + y^2 = 1$
You can easily find the plane and cylinder accordingly. But how do you find the projection of the cylinder onto that plane. The $x$ boundaries should be the radius of the circle.
I've been told you parametrise both equations and work from there, is that correct?
This is for evaluating Stokes' Theorem by the way.