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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

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

##### ISBN: 9780321570567

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