Explanation Given Information: The function s ( t ) = 0.08 t 2 − 0.26 t + 8.8 billion gallons per year 0 ≤ t ≤ 7 represents the annual per capita sales of bottled water in the United States for the period 2007 − 2014 , the subdivision is n = 5 . Formula used: If a function f is continues then the left Riemann sum of the function f with n equal subdivisions over an interval [ a , b ] is, left riemann sum = ∑ k = 0 n − 1 f ( x k ) Δ x = f ( x 0 ) Δ x + f ( x 1 ) Δ x + .... + f ( x n − 1 ) Δ x = [ f ( x 0 ) + f ( x 1 ) + .... f ( x n − 1 ) ] Δ x Where the width of subdivision is Δ x = b − a n and the end points of the subdivisions are a = x 0 < x 1 < ⋅ ⋅ ⋅ ⋅ < x n = b . Calculation: Consider that the annual per capita sales of bottled water in the United States for the period 2007 − 2014 , s ( t ) = 0.08 t 2 − 0.26 t + 8.8 Also consider that bottles are sold from 2008 starting to 2014 . So, the bottles are sold from first to seventh year, [ 1 , 7 ] and the value of n, n = 5 The left Riemann sum of annual per capita sales for the interval [ 1 , 7 ] will give the total sale of bottled water from 2008 start to 2014 start

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Chapter 13.3, Problem 45E

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To calculate: The total sale of bottled water from 2008 start to 2014 start by using Riemann sum and take subdivisions n=5, if the function s(t)=0.08t2−0.26t+8.8 billion gallons per year 0≤t≤7 represents the annual per capita sales of bottled water in the United States for the period 2007−2014.

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Chapter 13.3, Problem 44E

Chapter 13.3, Problem 46E

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Chapter 13 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

Ch. 13.1 - In Exercises 142, evaluate the integral. [HinT:...Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

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Solution Summary: The author calculates the total sale of bottled water from 2008 start to 2014 by using Riemann sum and take subdivisions n=5.

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