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Answer: Estimating errors Use the remainder term to

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

Solution for problem 47E 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 47E

Estimating errors Use the remainder term to estimate the absolute error in approximating the following quantities with the nth-order Taylor polynomial centered at 0. Estimates are not unique.

sin 0.3; n = 4

Step-by-Step Solution:

Solution 47E

Step 1</p>

In this problem we have to find the absolute error using remainder term in approximating with the -order Taylor polynomial centered at 0.

Let us first find the order Taylor polynomial of sin x centered at 0.

Taylor series is given by .

In our case

So, what we need to do to get desired polynomial is to calculate derivatives, evaluate them at the given point and plug results into given formula.

Step 2:

For n=0

For n=1

For n=2

For n=3

For n=4

Now, use calculated values to get a polynomial:

     

Step 3 of 4

Chapter 9.1, Problem 47E is Solved
Step 4 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

The answer to “Estimating errors Use the remainder term to estimate the absolute error in approximating the following quantities with the nth-order Taylor polynomial centered at 0. Estimates are not unique.sin 0.3; n = 4” is broken down into a number of easy to follow steps, and 32 words. The full step-by-step solution to problem: 47E 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. Since the solution to 47E from 9.1 chapter was answered, more than 251 students have viewed the full step-by-step answer. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: absolute, approximating, Centered, Error, errors. This expansive textbook survival guide covers 85 chapters, and 5218 solutions.

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Answer: Estimating errors Use the remainder term to

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