8th Edition

ISBN: 9781285741550

Author: James Stewart

Publisher: Cengage Learning

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Integration

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Area

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Textbook Question

Chapter 9, Problem 5P

Find the curve y = f(x) such that f(x) ≥ 0, f(0) = 0, f(1) = 1, and the area under the graph of f from 0 to x is proportional to the (n + l )st power of f(x).

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Chapter 9, Problem 4P

Chapter 9, Problem 6P

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Chapter 9 Solutions

Calculus: Early Transcendentals

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Find the curve y = f ( x ) such that f ( x ) ≥ 0, f (0) = 0, f (1) = 1, and the area under the graph of f from 0 to x is proportional to the ( n + l )st power of f ( x ) .

Solution Summary: The author explains that the function f(x)=x satisfies the first condition. The area under the curve from 0 to x is proportional to the (n+1)

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Chapter 9 Solutions