Question 11 Let T be the part of the surface z = 9 - x2 - y2 which lies above the xy plane, with upward unit normal. Let B be the disk of radius 3 in the ry plane centered at the origin with downward unit normal. Find the total combined flux of the vector field F = (2x + 9y - 2yz)i + (3x + y - 5z)3 + (x2 + 92 + 222) k across T and B in the directions of their given normals. 7. a) Let S be the surface described by x2 + y =1; 0SzS3. Evaluate the integral [ z2as 5. Evaluate the surface integral J, F . as, where F(x, y, z) = ri, and S is the part of the paraboloid z = -x2 - y? + 1 above the ry-plane, oriented upward. 9. Evaluate the surface integral unfleong (s ( 2 - y + =)d5, where S is the surface that is the intersection of the plane a + 2y + 2z = 1 with the first octant. Question 9 Let S be the sphere centered at the origin of radius 3. Compute ju as via whatever method seems most convenient