2. {ti points} You are at the point p = {11!}. arctan{2]] on a hill 1with elevation function H[.1:. y] = arctanz + y]. The positive Iaxis indicates eastI and the positive ydirection indicates north. [a] Sketch some level curves of H. In your sketch, indicate {1,0} and draw 'E'H, [1). [h] Starting from p. in what direction should you 1walk in order to descend the hill the fastest? Express your answer as a unit vector. [-3] Suppose you walk southeast from p. {1] Are you initially ascending the hill. or de- scending the hill?I {ii} Is the hill initially getting steeperI or getting atter?I Briey explain