Explanation Given: The given graph is Calculation: Since f ( x ) is continuous on [-1, 3] and differentiable at (-1, 3). It is clear from the graph that f ( − 1 ) = 1 f ( 3 ) = 8 Now, using the Mean Value Theorem f ' ( c ) = f ( b ) − f ( a ) b − a f ' ( c ) = f ( 3 ) − f ( ȡ

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Chapter 3.1, Problem 50S

To determine

The reason why the given function ‘f’ satisfies the hypothesis of the Mean Value Theorem on the given interval [a, b] and the values c∈(a,b) which satisfies the conclusion of the Mean Value Theorem

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Chapter 3.1, Problem 49S

Chapter 3.1, Problem 51S

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Chapter 3 Solutions

Calculus

Ch. 3.1 - Prob. 1TB Ch. 3.1 - Prob. 0C Ch. 3.1 - Prob. 1C Ch. 3.1 - Prob. 2C Ch. 3.1 - Prob. 3C Ch. 3.1 - Prob. 4C Ch. 3.1 - Prob. 5C Ch. 3.1 - Prob. 6C Ch. 3.1 - Prob. 7C Ch. 3.1 - Prob. 8C

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The reason why the given function ‘f’ satisfies the hypothesis of the Mean Value Theorem on the given interval [a, b] and the values c ∈ ( a , b ) which satisfies the conclusion of the Mean Value Theorem

Solution Summary: The author explains that the given function ‘f’ satisfies the hypothesis of the Mean Value Theorem on a given interval and the values cin (a,b)

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The reason why the given function ‘f’ satisfies the hypothesis of the Mean Value Theorem on the given interval [a, b] and the values c∈(a,b) which satisfies the conclusion of the Mean Value Theorem

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Chapter 3 Solutions