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o. A 3.9 m ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 3.6 m from the y(t) house, the base is moving at the rate of 1.5 m/s. a. How fast is the top of the ladder sliding down the wall then? 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? 0 3.9-m ladder x(1)

o. A 3.9 m ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 3.6 m from the y(t) house, the base is moving at the rate of 1.5 m/s. a. How fast is the top of the ladder sliding down the wall then? 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? 0 3.9-m ladder x(1)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 11CR
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20. A 3.9 m ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 3.6 m from the y(t) house, the base is moving at the rate of 1.5 m/s. a. How fast is the top of the ladder sliding down the wall then? 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 0 between the ladder and the ground changing then? 0 3.9-m ladder x(1)
Transcribed Image Text:20. A 3.9 m ladder is leaning against a house when its base starts to slide away (see accompanying figure). By the time the base is 3.6 m from the y(t) house, the base is moving at the rate of 1.5 m/s. a. How fast is the top of the ladder sliding down the wall then? 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 0 between the ladder and the ground changing then? 0 3.9-m ladder x(1)
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