Use the Divergence Theorem to calculate the flux of the vector fields F —7zł + 7xk and F2 = -7zł + (7y + 8);+ 7xk through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically. dᏙ = With W giving the interior of the sphere, SsF, dĀ = Sw and Ss7.dĀ= Sw dᏙ =