Explanation Given information: The given function is, y = f ( t ) The sub interval is given as 5 of 20 ft length over the interval of [ 0 , 100 ] . Formula used: The formula to calculate the area by Riemann sum is, For f be a non negative continuous function [ a , b ] . The area of the region under the graph of f is, A = lim x → ∞ [ f ( x 1 ) + f ( x 2 ) + ⋯ f ( x n ) ] Δ x Where x 1 , x 2 , ⋯ , x n are arbitrary points with n subintervals of [ a , b ] . Calculation: Calculate the value of width for the subintervals, The formula to calculate width is, Δ x = ( b − a ) n Substitute 0 for a , 100 for b, and 5 for n in above equation, Δ x = 100 − 0 5 = 100 5 = 20 From the graph of vacant lot with 100-ft frontage in development coordinate system , the subintervals are of 20 ft length. So the subintervals are, (0, 20), (20, 40), (40, 60), (60, 80) and (80, 100). The midpoints of these subintervals are 10, 30, 50, 70, 90

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 6.3, Problem 17E

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To find: The area of lot by Riemann sum over the intervals [0,100] with five subintervals of 20 ft length.

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Chapter 6.3, Problem 16E

Chapter 6.3, Problem 18E

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Applied Calculus for the Managerial, Life, and Social Sciences

Ch. 6.1 - What is an antiderivative? Give an example.Ch. 6.1 - Prob. 2CQ Ch. 6.1 - What is the difference between an antiderivative...Ch. 6.1 - Prob. 4CQ Ch. 6.1 - In Exercises 1-4, verify directly that F is an...Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - In Exercises 1-4, verify directly that F is an...Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E

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The area of lot by Riemann sum over the intervals [ 0 , 100 ] with five subintervals of 20 ft length.

Solution Summary: The author calculates the area of lot by Riemann sum over the intervals left[0,100right] and the value of width for the subintervals.

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To find: The area of lot by Riemann sum over the intervals [0,100] with five subintervals of 20 ft length.

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Chapter 6 Solutions