6. (20 points) Using the contour map below, answer the questions that follow. 50 B 4 A C D 80 50 80 70 70 60 60 2 3 4 5 X (a) Estimate the average rate of change in the direction of decreasing y between the points A and B. Show all work. (b) Estimate the average rate of change in the direction of increasing r between the points C and D. Show all work. (c) Based on the plot, what point(s) appear to be local maxima? Provide your answers as an ordered pair (I, y). (d) Starting at point A and moving in the direction of vector v = (-1, 1), are you gaining or losing altitude? Provide an explanation on how you know.5. (10 points) Estimate (v1.06) (In(2.94)) by using linear approximation. 6. (20 points the contour map below, answer the questions that follow