Got three questions here that I'm stuck on. Worked solutions would be really helpful too tahanks

2. Let V be the solid region in R3 bounded by the cylinder 1:2 + y2 = 2 and the planes z = y+3 and z = 0. Let S be the surface of V oriented with outward unit normal. Let F be the vector eld F(sc, y, z) = [y3z2]i + [y4 (z 3)4]j + [4:r2y(z 3)]k. (a) Sketch the region V. (b) Use Gauss' divergence theorem to nd the ux of F across 8. (0) Let 8* be the part of S for which m2 + y2 = 2 (that is, 8* is the curved cylindrical face of 8). Use your answer to (b) to compute the ux of F across 5*. 3. Let S be the surface given by z=m2+y2, 233. Assume S is oriented using the outward unit normal. Let F(:c, y, z) = zyi + mj + 22k. (a) Sketch the surface S. (b) Evaluate the surface integral fj(V>