What is the equation of the curve of intersection of:
and
(Refer to attachment for graph of both equations).
What have you tried yourself? Do you understand that, because this is a one dimensional curve in three dimensions, you will need to find three equations for x, y, and z in terms of a siingle parameter?
Since , that second equation is which is the same as or . That is, the projection of that curve down to the xy-plane is the circle of radius 1 with center at (0, -1).
Do you know how to parameterize such a circle? Use either or to complete the parametric equations for this curve.