1. Let F = (yz, wz, Z3) and S be the part of the cone 2: 2 (/m2 + 3;2 that lies between z = 1 and z = 3. (a) Compute the flux of the curl of F across 5 using surface integral. (b) Compute the ux of the curl of F across 5 using Stokes' Theorem. Verify that the answers in (a) and (b) are equal. 2. Let F : (3322:, my, myz) and E is the solid tetrahedron in the rst octant enclosed by :13 + y -l- 2 = 1 and the coordinate planes. (a) Compute the flux of F across the boundary of E using surface integrals. (b) Compute the ux of F across the boundary of E using the Divergence Theorem. Verify that the answers in (a) and (b) are equal