Consider the mountain known as Mount Wolf, whose surface can be described by the parametrization r (u, V ) = (u, v, 7565 - 0.0242 - 0.03v2) with u2 + v2 10,000, where distance is measured in meters. The air pressure P(x, y, z) in the neighborhood of Mount Wolf is given by P (x, y, z) = 39e(-7x2 + 4y2 + 2z). Then the composition Q(u, v) = (P o r)(u, v) gives the pressure on the surface of the mountain in terms of the u and v Cartesian coordinates. (a) Use the chain rule to compute the derivatives. (Round your answers to two decimal places.) au 02 (50, 25) = -15.15 X av 02 (50, 25) = 4.25 (b) What is the greatest rate of change of the function Q(u, v) at the point (50, 25)? (Round your answer to two decimal places.) 15.77 (c) In what unit direction u = (a, b) does Q(u, v) decrease most rapidly at the point (50, 25)? (Round a and b to two decimal places. (Your instructors prefer angle bracket notation for vectors.) u = <.96 .27> Submit