Please help me with the following questions

(12 points) Use Stokes' theorem to compute the line integral , F . dr, where F = (xyz - 2z) i + ry j + sin(xyz)ek and C is the curve of intersection of the paraboloid z = x2 + y + 1 and the cylinder x2 + y? = 2, oriented counterclockwise when viewed from above. (a) (2 points) Find the vector field curl F by direct computation (show your work!). (b) (4 points) Choose an oriented piecewise-smooth surface S, whose boundary is C. Pro- vide a parametrization for your surface S