Chapter 2.9, Problem 42E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

Suppose that we don’t have a formula for
*x*.

(a) Use a linear approximation to estimate

(b) Are your estimates in part (a) too large or too small? Explain.

To determine

**(a)**

**To estimate:**

Explanation

**1) Formula:**

Linear approximation of g(x) at a:

**2) Given:**

3) **Calculation:**

To find linear approximation of g(x) at 2, substitute a = 2 in

To find

Now, substitute

To determine

**(b)**

**To explain:**

Estimates in part (a) are too large or too small.

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