(a) Use Stokes Theorem to evaluate C F dr, where F(x, y, z) = x...

(a) Use Stokes’ Theorem to evaluate  ʃ_C F • dr, where F(x, y, z) = x²z i + xy² j + z² k and C is the curve of intersection of the plane x + y + z = 1 and the cylinder x² + y² = 9, oriented counterclockwise as viewed from above.
(b) Graph both the plane and the cylinder with domains chosen so that you can see the curve C and the surface that you used in part (a).
(c) Find parametric equations for C and use them to graph C.