Consider lim *2+ y (see figure). (x, y)- (0, 0) xy 20 20 20 (a) Determine (if possible) the limit along any line of the form y = ax. (Assume a # 0. If an answer does not exist, enter DNE.) (b) Determine (if possible) the limit along the parabola y = x2. (If an answer does not exist, enter DNE.) (c) Does the limit exist? Explain. O Yes, the limit exists. The limit is the same regardless of which path is taken. O No, the limit does not exist. Different paths result in different limits. Need Help? Read It 7. [-/1 Points] DETAILS LARCALC12 13.2.054.MI. Use polar coordinates to find the limit. [Hint: Let x = / cos 0 and y = / sin 8, and note that (x, y) - (0, 0) implies r - 0.] (x, v) =(0, 0) v x2 + yz Need Help? Read it Master It 18. [-/1 Points] DETAILS LARCALC12 13.2.065. Discuss the continuity of the function. F(x, y) = sin(xy), xy = 0 xy = 0 O continuous except where y = 0 continuous except where xy = 0 O continuous except at (0, 0) O continuous except where x = 0 O continuous everywhere Need Help? Read It Watch it 19. [-/1 Points] DETAILS LARCALC12 13.2.069. Discuss the continuity of the composite function fo g. F(t ) = = g(x, y) = 3x - 5y 0 continuous everywhere