Question 3. Suppose the function P(m, y, z) = a: sin(y) + cos(x) + 62 gives the air pressure P(:n, y, 2:) at each point (3:, y, z). Suppose 7(t) is the position of some particle at time t, and that this particle always travels in the direction of maximal decrease of air pressure. Assume 7(0) 2 (0,0,0). 3.1. What is VP(0, 0,2)? 3.2. What is the direction of 7 at t = 0? 3.3. Find a function 7 satisfying the conditions stated in the question. (Remember to justify) Note that multiple answers are possible