Explanation Given: The interval is [ 1 , 4 ] and the corresponding interval is divided into three subintervals. Theorem used: ( Error bounds for approximation of area by left or right sums ) “Let f ( x ) > 0 and is either increasing or decreasing on [ a , b ] , then | f ( b ) − f ( a ) | b − a n is an error bound for the approximation of the area between the graph of f and the x axis, from x = a to x = b , by L n or R n .” Calculation: From the Figure C, the value of the function f ( x ) at x = 4 and x = 1 are 8 and 1, respectively. Use the theorem mentioned above to obtain the error bounds for L 3 and R 3

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter 5.4, Problem 22E

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To compute: The error bounds for L3 and R3 of Figures A and B found in the problem 18.

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Chapter 5.4, Problem 21E

Chapter 5.4, Problem 23E

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Chapter 5 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. 5.1 - Matched Problem 1 Note that ddx(x3)=3x2 A. Find...Ch. 5.1 - Find each indefinite integral: (A) 2dx (B) 16etdt...Ch. 5.1 - Matched Problem 3 Find each indefinite integral:...Ch. 5.1 - Matched Problem 4 Find the equation of the curve...Ch. 5.1 - Matched Problem 5 Find the revenue function R(x)...Ch. 5.1 - Matched Problem 6 There are currently 64,000...Ch. 5.1 - Explore and Discuss 1 Formulas 1, 2, and 3 do not...Ch. 5.1 - In Problems 18, write each function as a sum of...Ch. 5.1 - In Problems 18, write each function as a sum of...Ch. 5.1 - In Problems 18, write each function as a sum of...

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The error bounds for L 3 and R 3 of Figures A and B found in the problem 18.

Solution Summary: The author explains the error bounds for L_3andR

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To compute: The error bounds for L3 and R3 of Figures A and B found in the problem 18.

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Chapter 5 Solutions