4. Let S be the parabolic shell 33+y2+22=4, x20 Let S be oriented with outward unit normal 11 and C be the curve bounds S. (a) Sketch S and C. (b) Find the surface area of S. (c) Find the work done in moving a particle around 0 in the anticlockwise direction by the vector eld F(:U, y, z) = (sin2 it + 22)i + (:5 + lny)j + (By :c)k, using Stokes' theorem on the simplest surface S*. [14 marks]