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10th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781285057095

Chapter 1.4, Problem 94E

Textbook Problem

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Using the Intermediate Value Theorem In Exercises 89-94, use the Intermediate Value Theorem and a graphing utility to approximate the zero of the function in the interval [0, 1]. Repeatedly “zoom in” on the graph of the function to approximate the zero accurate to two decimal places. Use the *zero* or *root* feature of the graphing utility to approximate the zero accurate to four decimal places.

To determine

Root of given function by graphing utility and confirm the result with intermediate value theorem.

**Graph:**

**Explanation:**

**Given:**

From graph we can observe that *h* value becomes zero at

Hence

is approximated root by using graphing utility. We can confirm this result with intermediate value theorem as follows.

**Calculations:**

Given function

And

Calculus

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