Given the vector field: F(x, y, z) =< y^2, x^2, z^2 >, and the solid bounded by the given surfaces z = x^2 + y^2 and z = 4, a) use the Divergence Theorem to find the total flux of F out of the solid. b) Use a surface integral to find the flux up through the top of the solid. c) Use your results to find the flux down through the bottom of the solid.