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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 12e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 12e

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# Linear and quadratic approximationa. Find the | Ch 9.1 - 12E

ISBN: 9780321570567 2

## Solution for problem 12E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 12E

Problem 12E

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)= tan−1 x, a = 0; approximate tan−1 0.1.

Step-by-Step Solution:

Solution 12E

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 of 4

Step 3 of 4

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Linear and quadratic approximationa. Find the | Ch 9.1 - 12E