Finding vector function to represent hyperboloid and cylinder

May 2017
3
0
United States
Find a vector function r(t) that represents the curve of intersection of the hyperboloid z=x^2-y^2 and the cylinder x^2+y^2=1.
 

SlipEternal

MHF Helper
Nov 2010
3,728
1,571
Let $x(t)=\cos t$ and $y(t)=\sin(t)$. Solve for $z(t)$.
 
May 2017
3
0
United States
I got z = cos(2t) so I found the vector function to be r(t) = <cost, sint, cos(2t)>