Problem #6: Let a vector field on R' be given by F(x, y, z) = 3x-y-2 i+ (2x yz + 1)j + 5x3y-24k. [7 marks] (a) Find the potential function o : R' - R such that F = Vo and @(0, 0, 0) = 1. What is the value of @(2, 3, 1)? (b) Compute div curl F at the point (2, 1, 5) (c) Let C be a curve parametrization = 1. Find F . dr. Enter your answer symbolically, Problem #6(a): as in these examples Enter your answer symbolically, Problem #6(b): as in these examples Enter your answer symbolically, Problem #6(c): as in these examples