# Use the Divergence Theorem to evaluate ∬SF⋅dS∬SF⋅dS where F=〈z2x,y33+3tan(z),x2z−1〉F=〈z2x,y33+3tan(z),x2z−1〉 and SS is the top half of…

Use the Divergence Theorem to evaluate ∬SF⋅dS∬SF⋅dS where

F=〈z2x,y33+3tan(z),x2z−1〉F=〈z2x,y33+3tan(z),x2z−1〉

and SS is the top half of the sphere x2+y2+z2=9×2+y2+z2=9.

(1 point) Use the Divergence Theorem to evaluate FdS where F2x +3 tan2).^z-1 and S is the top half of the sphere x2 +y2 + z2 -9 Hint: S is not a closed surface. First compute integrals overs, and S2 , where S, is the disk x2 + y2 < 9, z = 0 oriented downward and S2 = S U S, Si S1 Si F.dS2 S2 EEE dz dy dx where here z2 = y, X2= F.dS2 =