Calculus: Early Transcendentals (2nd Edition)

2nd Edition

ISBN: 9780321947345

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Textbook Question

Chapter 9.1, Problem 83E

Small argument approximations Consider the following common approximations when x is near zero.

a. Estimate f(0.1) and give a bound on the error in the approximation.
b. Estimate f(0.2) and give a bound on the error in the approximation.

83. f(x) = e^x ≈ 1 + x

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Chapter 9.1, Problem 82E

Chapter 9.1, Problem 84E

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Chapter 9 Solutions

Calculus: Early Transcendentals (2nd Edition)

Ch. 9.1 - Suppose you use a second-order Taylor polynomial...Ch. 9.1 - Does the accuracy of an approximation given by a...Ch. 9.1 - The first three Taylor polynomials for f(x)=1+x...Ch. 9.1 - Prob. 4E Ch. 9.1 - How is the remainder Rn(x) in a Taylor polynomial...Ch. 9.1 - Explain how to estimate the remainder in an...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...Ch. 9.1 - Linear and quadratic approximation a. Find the...

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Small argument approximations Consider the following common approximations when x is near zero. a. Estimate f (0.1) and give a bound on the error in the approximation. b. Estimate f (0.2) and give a bound on the error in the approximation. 83. f ( x ) = e x ≈ 1 + x

Solution Summary: The author estimates the value of f(0.1) and obtains the error bound.

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