Consider the mountain known as Mount Wolf, whose surface can be described by the parametrization Ru, v) = (u, v, 7555 c.02u2 0.03v2) with u2 + v2 5 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) = 408(7x2 + 4y2 + 22). Then the composition Q(u, v) = (P o ;)(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.) 3Q E 6Q W (50, 25) = (so, 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.) (c) In what unit direction 12 = (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.)