I am having a bit of a problem with vector functions. This problem says: A circular cylinder of radius 1 and the parabolic cylinder z=2x^2 intersect. What is the vector function if the curve of intersection is x(0)=0?
I first set x = cos(t) and y = sin(t); then solved for z = 2 cos^2(t). Would this be correct? Or am I approaching this problem incorrectly?
Any feed and help is appreciated.