QUESTION 7 In Figure 1 you will find a contour map of a function f(x, y). The positive a direction is to the right, and the positive y direction is up. (a). Is f(100, 100) positive or negative? Justify your answer. (b). Is f,(50, 100) positive or negative? Justify your answer.150 3000 6000 125 -7400 80DO -9500- 8500 -10500- 100 11500 1 10 00 -1 100p. LOSCH - 10500 10900 ODOD 75 9500 9040 8500 7500 50 - 7000 6500 5500 5000 25 4500 4000 3500 30 0 8500 25 35030 -50 -50 -25 25 50 75 100 125 150 FIGURE 1. Contour map of f from question 7 (c). Is the directional derivative of f at the point where (r, y) = (0,0) in the direction of the vector positive or negative? Justify your answer.QUESTION 8 Let f(x, y, =) = V9 -x2 -12 -222. (a). Find the gradient of f at the point where (c, y, z) = (2, 1, 0). (b). Find the directional derivative of f at the point (c, y, 2) = (2, 1,0) in the direction of the vector