(10pts) Consider the vector field F(x, y, z) = 3x2yz2i+ (x322 + 8yz)j + (2x3yz + 4y2)k a. Show that F is conservative by showing that curlF = 0. b. Find a function f (x, y, z) such that Vf = F. c. Use the Fundamental Theorem of Line Integrals to find the work done by F as particle moves from P(2, 1, 0) to Q (0, 3, 1)