Explanation Given: • Figureshows the rate R ( T ) of natural gas consumption (in billions of cubic feet per day) in the Mid-Atlantic States. • In the year 2009 • The table of monthly value of R ( T ) 3.18 2.86 2.39 1.49 1.08 0.80 1.01 0.89 0.89 1.20 1.64 2.52 Key Concepts Used: The given figure shows the rate R ( T ) of natural gas consumption (in billions of cubic feet per day) in the Mid-Atlantic States (New York, New Jersey, Pennsylvania). We have to express the total quantity of natural gas consumed in 2009 as an integralwith respect to time t in days. The givenFigureshows the rate R ( T ) of natural gas consumption (in billions of cubic feet per day) in the Mid-Atlantic States (New York, New Jersey, Pennsylvania). Thereby we canexpress the total quantity of natural gas consumed in any year as an integralwith respect to time t in days as ∫ R ( t ) ⋅ d t 0 365 . Thereby the total quantity of natural gas consumed in 2009 as an integralwith respect to time t in days as ∫ R ( t ) ⋅ d t 0 365 .Here the total quantity of natural gas consumed in 2009 is obtained bysubstituting the values obtained from the table for the year 2009 in the integral ∫ R ( t ) ⋅ d t 0 365 . Per day consumption of natural gas for the twelve months is given in the table. To find the total consumption of natural gas for one year we have to add the product of number of days and the corresponding per day consumption of natural gas. Formula Used: The total quantity of natural gas consumed in a year = ∫ R ( t ) ⋅ d t 0 365 . Calculation: Description: The total quantity of natural gas consumed in a year = ∫ R ( t ) ⋅ d t 0 365 ...

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 5.6, Problem 25E

To determine

The total quantity of natural gas consumed in the given year for the provided monthly values of $R (t)$ by expressing it as an integral with respect to time $t$ in days

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Chapter 5.6, Problem 24E

Chapter 5.6, Problem 26E

Chapter 5 Solutions

CALCULUS (CLOTH)

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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY

The total quantity of natural gas consumed in the given year for the provided monthly values of R ( t ) by expressing it as an integral with respect to time t in days

Solution Summary: The author explains how to determine the total quantity of natural gas consumed in a given year by expressing it as an integral with respect to time t in days.

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The total quantity of natural gas consumed in the given year for the provided monthly values of $R (t)$ by expressing it as an integral with respect to time $t$ in days

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Chapter 5 Solutions

The total quantity of natural gas consumed in the given year for the provided monthly values of R ( t ) by expressing it as an integral with respect to time t in days

Solution Summary: The author explains how to determine the total quantity of natural gas consumed in a given year by expressing it as an integral with respect to time t in days.

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The total quantity of natural gas consumed in the given year for the provided monthly values of R(t)by expressing it as an integral with respect to time tin days

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Chapter 5 Solutions

The total quantity of natural gas consumed in the given year for the provided monthly values of $R (t)$ by expressing it as an integral with respect to time $t$ in days