Q5 (6 points) Determine if the statements below are True or False. If it's True, explain why. If it's False, explain why not, or simply give an example demonstrating why it's false. A correct choice of "True" or "False" with no explanation will not receive any credit. (a) It F = (P, Q) is a conservative vector field, then Py, + Qy, = 0. (b) For any smooth function z = f(x, y) and any closed curve C we have /f)C dx + f,dy =0. c (c) Let z = f(x, y) be a smooth function. Let C; denote a curve starting at (0, 0) and ending at (1, 1), and C; a curve starting at (1, 1) and ending at (0, 0). Then/Vf-d?+/Vf-d?=0. C G