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 f
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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 f
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
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