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5. A little more work... In this question, you need to show all your steps. (40 points - 10 points each) a. Let f(x, y) = -x2-y2 +3x. Use the method of Lagrange Multipliers to find the maximum and minimum values of f (x, y) on the curve x = V1 -y2.b. (Typo fixed, see the right arrow) Let (u, v) = F(x, y) = (xIn(y - x), y? + 5x). Suppose that G(u, v) has continuous partial derivatives with G(0, 4) = (-4, -5) and (Update -) DG(0, 4) = 2 -4 Find an approximation for (GoF) (-0.1, 2.1). Round your answer to 2 decimal places. c. Let f(x, y) be differentiable at (a, b) and u be a unit vector. Show that if u = (1, 0), then Daf(a, b) = fx(a, b)