LEARLY SHOW ALL YOUR WORK. Work not shown will not be graded not pt to cheat or copy or you will be given a zero. (3 pts.) Find the surface integral for the flux of F(x, y, z) = (x, y, z) over the surface of the paraboloid z = x2 + yz for 0 Page 1709 3 . If it is conservative, find a rack, and R(x, y. *) - zuela aze" (y) + efx 3. (2 pts.) Find Jo F. di for F = (ray-712 +1, 4x5 +y' -7) and C' the unit square traversed counter clockwise OR = ry els 4. (2 pts.) For (a) assume f(r, y) is some differentiable function. For (b), assume H = (h1, h2, h3) is a 21"C Clear ~ ( along the line segments (0, 0) - (1,0) - (1, 1) - (0, 1) - (0,0) ). prisc IFH F10 (b) Show that if G(x, y, z) = curlH (1, y, z), then div( G) = 0. (a) Show that if F(x, y) = Vf(x, y), then curl(F) = 0. differentiable vector field