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38. A ladder 10 meters long is leaning against a wall, with the foot of the ladder 8 meters away from the wall. If the foot of the ladder is being pulled away from the wall at 3 meters per second, how fast is the top of the ladder sliding down the wall? a. 5 m/s b. 8 m/s c. 2 m/s d. 4 m/s e. None of the above 39. A small boy standing in a flat field watches a balloon rise in the distance. The balloon leaves the ground 500 m away from the boy and rises vertically at the rate of 7 m/minute. At what rate is the angle of inclination of the boy's line of sight (0 in radians) increasing at the instant when the balloon is exactly 500 m above the ground? a) radians/minute b) Tradians/minute c) radians/minute d) radians/minute e) None of the above b. Assume that Boy 40. Which of the following is the statement of the Mean Value Theorem? a. Assume that is continuous on the closed interval [a, b] and either f(a) < a < f(b) or f(a) > a> f(b). Then there exists a <e<b such that/(c)= a. is continuous on [a,b] and / is differentiable on (a, b). Then there exists a <e<b such that f'(c)-10-10), 500 m c. Assume that is continuous on (a, b) and f is differentiable on (a, b) and that f(a) f(b) 0. Then there exists. a<c<b such that f'(c)-10-16) = 0. d. None of the above