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Solved: Let A be the area under the graph of an increasing continuous function f from a

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 27 Chapter 5.1

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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Problem 27

Let A be the area under the graph of an increasing continuous function f from a to b, and let Ln and Rn be the approximations to A with n subintervals using left and right endpoints, respectively. (a) How are A, Ln, and Rn related? (b) Show that Rn 2 Ln b 2 a n f fsbd 2 fsadg Then draw a diagram to illustrate this equation by showing that the n rectangles representing Rn 2 Ln can be reassembled to form a single rectangle whose area is the right side of the equation. (c) Deduce that Rn 2 A , b 2 a n f fsbd 2 fsadg

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Chapter 5.1, Problem 27 is Solved
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Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

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Solved: Let A be the area under the graph of an increasing continuous function f from a