(9 points) Consider the bowl-shaped paraboloid z = f(x, y) = 4 + x2 + 3y2….

(9 points) Consider the bowl-shaped paraboloid z = f(x, y) = 4 + x2 + 3y2. (a) If you are located on the paraboloid at the point (2, – *), in which direction should you move in order to ascend on the surface at the maximum rate? What is the rate of change? (b) If you are located at the point (2, -), in which direction should you move in order to descend on the surface at the maximum rate? What is the rate of change? (c) At the point (3,1), in what direction(s) is there no change in the function values?