10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 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 the ladder and the ground changing then? ft/sec a. The rate of change of the height of the top of the ladder is (Simplify your answer.) ft2/sec b. The area is changing at (Simplify your answer.) rad/sec c. The angle is changing at (Simplify your answer.)

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 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 the ladder and the ground changing then?
ft/sec
a. The rate of change of the height of the top of the ladder is
(Simplify your answer.)
ft2/sec
b. The area is changing at
(Simplify your answer.)
rad/sec
c. The angle is changing at
(Simplify your answer.)
Transcribed Image Text:10. A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the base is moving away at the rate of 36 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 the ladder and the ground changing then? ft/sec a. The rate of change of the height of the top of the ladder is (Simplify your answer.) ft2/sec b. The area is changing at (Simplify your answer.) rad/sec c. The angle is changing at (Simplify your answer.)
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