Part II (10%) True or False. For each statement, select T if the statement is true, or select F if false. No justication needed. 8. (a) T F The mgr-trace (on the mgr-plane) of the surface 3:2 + y2 2.2 = 0 is a. point. (b) T F If fa,(0,0) exits and 9(3) = f(o:,0), then fm(0,0) = g'(0). (c) T F If f$(0,0) = 0 and fy(0,0) = 0, then f(a:,y) has a local extreme at (0,0). ((1) T F If f3(0, 0) and fy(0, 0) both exists, then f(a:,y) is differentiable at (0,0). (e) T F If f(a:,y) is continuous on the disk D = {(a:,y) | 3:2 +3;2 5 1}, then f(a:,y) has an absolute maximum on D