Evaluate the surface integralF ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) =xy i + yz j + ZXk s is the part of the paraboloid z 6 - x2 - y2 that lies above the square 0 x 1, 0 y s 1, and has upward orientation