Explanation Given Information: The provided equation is, F ( x ) = 12 x − x 3 + C And, the family of curves is, Formula used: According to the power rule of derivatives, d d x ( x n ) = n x n − 1 Calculation: Consider the provided function, F ( x ) = 12 x − x 3 + C Now, to obtain the indefinite integral that gives the above family of curves, first differentiate both sides with respect to x as, d d x ( F ( x ) ) = d

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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Chapter 12.1, Problem 40E

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To calculate: The indefinite integral which gives the family of the curves F(x)=12x−x3+C.

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Chapter 12.1, Problem 39E

Chapter 12.1, Problem 41E

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Chapter 12 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 12.1 - 1. True or false: (a) (b) Ch. 12.1 - Prob. 2CP Ch. 12.1 - 1. If what is Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Evaluate the integrals in Problems 5-28. Check...Ch. 12.1 - Prob. 7E Ch. 12.1 - Evaluate the integrals in Problems 5-28. Check...

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The indefinite integral which gives the family of the curves F ( x ) = 12 x − x 3 + C .

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To calculate: The indefinite integral which gives the family of the curves F(x)=12x−x3+C.

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Chapter 12 Solutions