1. Consider the vector field F and that part of the paraboloid z = 4 - x2 - y cut off by the xy-plane with an upward-pointing unit normal vector. F = (4y, ez , - arctan (x)) Calculate curl(F). Apply Stokes' Theorem to compute the flux of curl(F) through the given surface using a line integral. 2. Calculate curl(F) and then apply Stokes' Theorem to compute the flux of curl(F) through the surface in the figure using a line integral. (0,a,2a) 2a (a, 0.2a) a xty =a a The surface is a wedge-shaped box (bottom included, top excluded) with an outward-pointing normal. Assume that parameter a = 2. F = (x+ y, z2 - 16, x\\/12 + 1)