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Thomas' Calculus: Early Transcendentals | 13th Edition | ISBN: 9780321884077 | Authors: George B. Thomas Jr., Maurice D. Weir, Joel R. Hass
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Checking the Mean Value TheoremFind the value

Chapter 4, Problem 5E

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QUESTION:

Problem 5E

Checking the Mean Value Theorem

Find the value or values of c that satisfy the equation  in the conclusion of the Mean Value Theorem for the functions and intervals.

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QUESTION:

Problem 5E

Checking the Mean Value Theorem

Find the value or values of c that satisfy the equation  in the conclusion of the Mean Value Theorem for the functions and intervals.

ANSWER:

Problem 5E

Checking the Mean Value Theorem

Find the value or values of c that satisfy the equation   in the conclusion of the Mean Value Theorem for the functions and intervals.

Step by step solution

Step 1 of 3

Consider the given function is .

The given interval is  and the given function is continuous at  and differentiable at .

Calculate the first derivative as,

Calculate the value of .

Calculate the value of  as,

Solve further as,

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