(a) Check the divergence theorem for the function v1 = r 2 ˆr, using as your volume the...

(a) Check the divergence theorem for the function v1 = r 2 ˆr, using as your volume

the sphere of radius R, centered at the origin.

(b) Do the same for v2 = (1/r 2)ˆr. (If the answer surprises you, look back at

Prob. 1.16.)

Reference: Prob. 1.16.

Sketch the vector function

and compute its divergence. The answer may surprise you. . . can you explain it?