Explanation Expand the term ( x + y ) n by the binomial expansion, ( x + y ) n = x n + n x n − 1 y + n ( n − 1 ) 2 ! x n − 2 y 2 + n ( n − 1 ) ( n − 2 ) 3 ! x n − 3 y 3 + ⋯ + y n Substitute a for x , y for h and 1 3 for n in above equation. ( a + h ) 1 3 = a 1 3 + 1 3 a 1 3 − 1 h + ( 1 3 ) ( 1 3 − 1 ) 2 ! a 1 3 − 2 h 2 + ( 1 3 ) ( 1 3 − 1 ) ( 1<

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Question

Chapter 3.6, Problem 74E

To determine

The statement “{If h is small in comparison to a , then (a+h)13≈a13+h3a23 }” is true or false.

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Chapter 3.6, Problem 73E

Chapter 3.7, Problem 1CQ

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 3.1 - State the following rules of differentiation in...Ch. 3.1 - Prob. 2CQ Ch. 3.1 - Prob. 3CQ Ch. 3.1 - Prob. 4CQ Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E

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Volume of a Cylinder The volume of a...Ch. 3.6 - Prob. 40E Ch. 3.6 - Prob. 41E Ch. 3.6 - Prob. 42E Ch. 3.6 - Prob. 43E Ch. 3.6 - Prob. 44E Ch. 3.6 - Prob. 45E Ch. 3.6 - Prob. 46E Ch. 3.6 - Prob. 47E Ch. 3.6 - PRODUCTION FUNCTION FOR A FURNITURE COMPANY The...Ch. 3.6 - Prob. 49E Ch. 3.6 - Prob. 50E Ch. 3.6 - Prob. 51E Ch. 3.6 - Prob. 52E Ch. 3.6 - Prob. 53E Ch. 3.6 - Prob. 54E Ch. 3.6 - Prob. 55E Ch. 3.6 - Prob. 56E Ch. 3.6 - Prob. 57E Ch. 3.6 - Prob. 58E Ch. 3.6 - Prob. 59E Ch. 3.6 - Prob. 60E Ch. 3.6 - Prob. 61E Ch. 3.6 - Prob. 62E Ch. 3.6 - Prob. 63E Ch. 3.6 - Prob. 64E Ch. 3.6 - Prob. 65E Ch. 3.6 - 66. 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The statement “{If h is small in comparison to a , then ( a + h ) 1 3 ≈ a 1 3 + h 3 a 2 3 }” is true or false.

Solution Summary: The author evaluates whether the statement "If h is small in comparison to A, then (a+h)13approx

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The statement “{If h is small in comparison to a , then (a+h)13≈a13+h3a23 }” is true or false.

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Chapter 3 Solutions