Find a vector function that represents the curve of

Question

1. (a) Find a vector function that represents the curve of intersection of x² + y² = 4 and z =x.

(b) Find the normal plane of the curve above at the point (0,2,0).

2. Use the chain rule to find the indicated partial derivatives:

z = tan (x/y) with x = 2s + 3t; y = 3s - 2t