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A 19-ft ladder leaning against a house makes a 67° angle with the ground. Will the...
A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 24 ft from the house, the base is moving away at the rate of 7 ft/sec. a. What is the rate of change of the height of the top of the ladder? b. At what rate is the area of the triangle formed by the ladder, wall, and ground changing then? c. At what rate is the angle between...
A ten-foot ladder is leaning up against the side of a house, which is perpendicular to the flat ground. Someone is pulling the base of the ladder away from the side of the house at 0.8 meters per second. The top of the ladder makes contact with the side of the house at all times. Initially, the top of the ladder is 6 feet above the ground. a) As the base of the ladder slides, the triangle formed by the...
A ladder 15 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 3 ft/sec. How fast is the top of the ladder moving down the wall when its base is 4 feet from the wall? Round your answer to two decimal places. 15 ft Your Answer: Answer units
A ladder 15 feet long is leaning against a house. The base of the ladder is pulled away from the wall at a rate of 2 ft/sec. How fast is the top of the ladder moving down the wall when its base is 3 feet from the wall? Round your answer to two decimal places. 15 ft Your Answer: Answer units
A5.5 m ladder is leaning against a house when its base starts to slide away. By the time the base is 44 m from the house, the base is moving away at the rate of 6.6 m/s. a. What is the rate of change of the height of the top of the ladder? b. At whatrate is the area of the triangle formed by the ladder, wall, and ground changing then? P 6. At whatrate is the angle between the...
20. A 12 ft. ladder is leaning against a wall. The ladder forms a 75 degree angle with the base of the wall. How far is the bottom of the ladder from the base of the wal? Round your answer to two decimal places.
Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (a) How fast is the top of the ladder moving down the wall when its base is 7 feet. 15 feet, and 24 feet from die wall?(b) Consider die triangle formed by the side of the house, the ladder, and the ground. Find the rate at...
4. (5 points) Related Rates. A 17 ft. ladder is leaning against a wall. If the bottom of the ladder is pulled along the ground away from the wall at a constant rate of 5 ft/s, how fast will the top of the ladder be moving down the wall when it is 8 ft. above the ground? 5. (5 points) Find the absolute maximum and absolute minimum of f(x)= 3x4 – 4x' on the interval (-1,2]. Use calculus and show...
13. A 18-ft ladder leaning against a wall begins to slide. How fast is the angle between the ladder and the wall changing at the instant of time when the bottom of the ladder is 9 ft from the wall and sliding away from the wall at the rate of 4 ft/sec? Round the answer to the nearest hundredth. I
2. A ladder 10 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall Rates at a rate of y Soot see. How fast is the top of the ladder moving down the wall. when the base is 6 feet from the wall ? ladder