Explanation Given: The given sum is: ∑ k = 1 100 f ( 2 + 0.1 ( k − 1 ) ) ( 0.1 ) Calculation: The left sum defined for n rectangles on the interval [a, b] is ∑ k = 1 20 f ( x k − 1 ) ( Δ x ) Where, Δ x = b − a n ,

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Question

Chapter 4.2, Problem 16C

To determine

The reason why the given sum cannot be the left sum for ‘f’ on the interval [2, 5]

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Chapter 4.2, Problem 15C

Chapter 4.2, Problem 17C

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Chapter 4 Solutions

Calculus

Ch. 4.1 - Prob. 1TB Ch. 4.1 - Prob. 2TB Ch. 4.1 - Prob. 3TB Ch. 4.1 - Prob. 0C Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C

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The reason why the given sum cannot be the left sum for ‘f’ on the interval [2, 5]

Solution Summary: The author explains that the given sum is not the left sum for ‘f’ on the interval.

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The reason why the given sum cannot be the left sum for ‘f’ on the interval [2, 5]

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Chapter 4 Solutions