Evaluate both integrals of the Divergence Theorem for the following vector field and region. Check for agreement. F = (2x, 3y, 42); D= {(x.y.z): x2 +y?+z?=4) Set up the volume integral for the Divergence Theorem. Select the correct choice below and fill in any answer boxes within your choice. O A. [ J J Oop dop do, where the integrand does not simplify to a constant &B. The integral simplifies to ] ] | ( 9) av. D (Type an integer or a simplified fraction.) Set up the surface integral for the Divergence Theorem, using a parametrization with the form r = (a sin u cos v, a sin u sin v, a cos u) for the surface if needed. Select the correct choice below and fill in any answer boxes within your choice. O A. O I S du dy, where the integrand does not simplify to a constant O B. The integral simplifies to J J ( D) as (Type an integer or a simplified fraction.)Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. S f(x,y,z) =2x7+ 2y", where S is the hemisphere x" +y- + z 2 =4, for z 2 0 Write a parametric description of the given hemisphere using u = q and v =0. r(u,v) = where 0 Sus and EVE (Type exact answers.)