Problem 4. Consider the surface S defined by the equation sin(yz) - x22 = 2. (a) Find the values of az Ox and az ay at the point (1, 0, -2) on S.Problem 4 (continued). (b) Approximate the value of z when x = 1.1 and y = -0.3. (c) Consider a path r(t) = (x(t), y(t), z(t)) lying on the surface S such that r(0) = (1, 0, -2). Assume that dac dt (0) = -5 and (0) = 5. Find the value of dt dt - (0)