Solve question with step by step (Calculus and Vector Analysis)

1. (15 points) Let S be the downward-pointing cone whose base is the unit circle in the xy-plane centered at the origin and whose tip is at the point (0, 0, -5) with outward pointing normal. Let F = (yes, -xe, x2 + y?). Use Stokes' Theorem to compute - (V x F) . ds. 2. (10 points) Let F = (cos(x2), xye"). Let D be the rectangle [2, 5] x [0, 3]. Use Green's Theorem to compute F . dr