(10 pts) The elevation in a region on Mars is given by f(x, y) = x2 + 2322 + xy 232. A Mars rover is currently at the point (LJAZ) = (0,1,0)- (a) (3 pts) Compute V f (x, y). (b) (3 pts) The rover locates an interesting rock at the bottom of the nearby valley. In what direction (in the xy-plane) should the rover move in order to decrease its elevation most quickly? (c) (4 pts) If the rover moves along the path r(t) below, d compute 7}: using the chain rule. r0) = (x(r),y(r)) = (1er 2r), r 2 0