Explanation Given Information: The median rate of flow f ( t ) = 800 + 3.1 p ( t ) where p ( t ) is a function ( t − 90 ) ( 195 − t ) for t ∈ ( 90 , 195 ) and is zero otherwise. The time t is measured in days and the flow is measured in cubic feet of water per second. The second fundamental theorem of calculus states that If f is continuous on the interval $[a, b],$ where F ( x ) = ∫ a b f ( x ) d x ( a , b )

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Question

Chapter 4.7, Problem 61A

To determine

To Find: the function Ft0(t) that gives the total amount of water using fundamental theorem of calculus

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Chapter 4.7, Problem 60A

Chapter 4.7, Problem 62A

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the function F t 0 ( t ) that gives the total amount of water using fundamental theorem of calculus

Solution Summary: The author explains the fundamental theorem of calculus, which states that if f_is continuous on the interval [a,b],, the function F is

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