(a) The vector field F = 4xi+ 4y j +2k , outward (normal away from the z-axis) through the surface cut from the bottom of the pa- raboloid z = x2 + y' by the plane z = 1. Use a parametrization to find the flux ff F.ndo, across the surface.- (b) Find the flux of F = yz j + z'k, outward through the surface S cut the cylinder y? + 22 = 1, > > 0, by the plane x = 0 and r=1