We define the vector field F:R³R³ by

F(x,y,z):=(6x+12xy+2x², 6y²+3e^z,6z+6ycos(2x)+7z²)

(a) We calculate divF (x,y,z).

(b) Let: A:= {(x,y,z):x2+y2z1

Using the Gaussian divergence theorem, calculate

dAFdS