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Answer: Linear and quadratic approximationa. Find the

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

Solution for problem 9E 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 9E

Linear and quadratic approximation

a. Find the linear approximating polynomial for the following functions centered at the given point a.

b. Find the quadratic approximating polynomial for the following functions centered at the given point a.

c. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.

f(x)= (1 + x)−1, a = 0; approximate 1/1.05.

Step-by-Step Solution:

Solution 9E

Step 1:

We need to find the linear and quadratic approximating polynomial for

The linear approximation for  at is given by

The Quadratic Approximation for a function y = f(x) based at a point a is given by

Step 2:

a. Find the linear approximating polynomial for the following functions centered at the given point a.

Given , a = 0

Thus the linear approximation for at is

Step 3 of 4

Chapter 9.1, Problem 9E is Solved
Step 4 of 4

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

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This full solution covers the following key subjects: given, functions, quadratic, Centered, Find. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Linear and quadratic approximationa. Find the linear approximating polynomial for the following functions centered at the given point a.b. Find the quadratic approximating polynomial for the following functions centered at the given point a.c. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.f(x)= (1 + x)?1, a = 0; approximate 1/1.05.” is broken down into a number of easy to follow steps, and 56 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 9E from 9.1 chapter was answered, more than 268 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

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Answer: Linear and quadratic approximationa. Find the

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