Answer to Question #275624 in Calculus for shifa

Question

Let S be the closed parabolic bowl consisting of two pieces: S1: z = x2 + y2, x2 + y2 ≤ 1; and S2: x = rCos(ɸ), y = rSin(ɸ), z = 1 for 0≤ɸ≤2π, and 0≤r≤1. Let (the vector) F = (x-y+z)î + 2xĵ + k̂. Compute both sides of Gauss’s Divergence Formula (as given in the class) and show that they are equal.