9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled away from the house at a rate of 2 feet per second. How fast is the top of the ladder moving down the side of the house when the ladder is 7 feet from the house?

Calculus: Early Transcendentals
8th Edition
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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9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled
away from the house at a rate of 2 feet per second. How fast is the top of the ladder moving down
the side of the house when the ladder is 7 feet from the house?
d
10. Find the indicated derivative.
d
(a)ƒ™(1), where ƒ(x) = ³. (b) for y = 3x² (7x + 1).
SP
Transcribed Image Text:9. A ladder 25 feet long is leaning against the side of a house. The base of the ladder is pulled away from the house at a rate of 2 feet per second. How fast is the top of the ladder moving down the side of the house when the ladder is 7 feet from the house? d 10. Find the indicated derivative. d (a)ƒ™(1), where ƒ(x) = ³. (b) for y = 3x² (7x + 1). SP
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