Linear and quadratic approximationa. Find the linear

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

Problem 7E 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 7E

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 ac. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.f(x) = e?x, a = 0; approximate e?0.2.

Step-by-Step Solution:

Solution 7EStep 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 byStep 2:a. Find the linear approximating polynomial for the following functions centered at the given point a.Given , a = 0, since Thus the linear approximation for at is L = 1+(-1)(x-0) = 1-x

Step 3 of 4

Chapter 9.1, Problem 7E is Solved
Step 4 of 4

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

The full step-by-step solution to problem: 7E from chapter: 9.1 was answered by Sieva Kozinsky, our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by Sieva Kozinsky 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. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 7E from 9.1 chapter was answered, more than 230 students have viewed the full step-by-step answer. 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 ac. Use the polynomials obtained in parts (a) and (b) to approximate the given quantity.f(x) = e?x, a = 0; approximate e?0.2.” is broken down into a number of easy to follow steps, and 55 words.

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