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Approximations with Taylor polynomialsa. Use | Ch 9.1 - 25E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 25E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 25E

Approximations with Taylor polynomials

a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity.

b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Approximate \(e^{-0.15}\) using \(f(x)=e^{-x}\) and \(p_{2}(x)=1-x+x^{2} / 2\).

Step-by-Step Solution:

Solution 25EStep 1:In this problem , we have to find out the approximation value by using taylor's polynomial. The Taylor polynomial of degree n centered at x = a approximating the function f(x) is; f(a) +(x-a) +

Step 2 of 2

Chapter 9.1, Problem 25E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

This full solution covers the following key subjects: given, Taylor, approximate, exact, assuming. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. The full step-by-step solution to problem: 25E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “?Approximations with Taylor polynomials a. Use the given Taylor polynomial \(p_{2}\) to approximate the given quantity. b. Compute the absolute error in the approximation assuming the exact value is given by a calculator.Approximate \(e^{-0.15}\) using \(f(x)=e^{-x}\) and \(p_{2}(x)=1-x+x^{2} / 2\).” is broken down into a number of easy to follow steps, and 40 words. Since the solution to 25E from 9.1 chapter was answered, more than 356 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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Approximations with Taylor polynomialsa. Use | Ch 9.1 - 25E