In cylindrical coordinates, a vector function of position is given by f = rer + 4rze + 2zez Consider the region of space bounded by a cylinder of radius 2 centered around the z-axis, and having faces at z = 0 and z=1. A a) Compute the value of SJ (f.n)dA by direct computation of the surface integral. b) Explain on physical grounds why the component of f in the s direction does not contribute to the surface integral. c) Determine the value of SSS (V.f)dV by direct computation of the volume integral. V