Please show steps on how to solve this question

Problem #11: A real-valued function g(x, y, z) is called a harmonic function in a region D CR if it satisfies the Laplace [8 marks] Equation V-g = V.Vg = 0 throughout D. Let f : R' - R be a function defined as f(x, y, z) = 4x2 + 412 - 822. (a) True or False: The function f(x, y. z) is harmonic. (b) Suppose that, the above function f(x, y. z) is defined on a bounded region D enclosed by a (piecewise) smooth oriented surface S and that n is the chosen unit normal vector on S. Find Ijvfinds (The answer is an integer.) (Hint: Use Divergence theorem.) (c) Suppose the region D is in the first octant, bounded by the graphs of x = 1. y = 1, and z = y. Compute Ij fvfinds where fVf is the vector field defined as f(x. y. z) Vf (x, y. z). (Hint: Use divergence theorem and the identity V. (hVh) = Vh.Vh + WV h where h is any real-valued function on R-.) Problem #11(a): Select v ] Problem #11(b): (A) 32 (B) 64 (C) 24 (D) 0 (E) 48 Problem # 11(c): Select v | | part (c) choices