Can you use the divergence theorem to compute the flux of

Question

Question: (a) Find div(r^→ /||r^→||2) where r = xi^→ +yj^→for r^→ = 0 .

(b) Can you use the Divergence Theorem to compute the flux of r^→/||r^→||2 out of a closed cylinder of radius 1, length 2, centered at the origin, and with its axis along the z-axis?

(c) Compute the flux of r^→ /||r^→||2 out of the cylinder in part (b).

(d) Find the flux of r^→/||r^→||2 out of a closed cylinder of radius 2, length 2, centered at the origin, and with its axis along the z-axis.