Explanation Given : f ( t ) = − 0.1 t 2 + t + 50 on [ 3 , 6 ] The average value of function on interval [ a , b ] f a v g = 1 b − a ∫ a b f ( x ) d x The time between 12:00 PM to 3:00 PM Thus, the average of f ( t ) = − 0.1 t 2 + t + 50 on [ 3 , 6 ] Average = 1 6 − 3 ∫ 3 6 ( − 0

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 5.7, Problem 51PS

To determine

To find: The average value of f(t)=−0.1t2+t+50 on [3,6]

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Chapter 5.7, Problem 50PS

Chapter 5.7, Problem 52PS

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Chapter 5 Solutions

Calculus

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The average value of f ( t ) = − 0.1 t 2 + t + 50 on [ 3 , 6 ]

Solution Summary: The author calculates the average value of f(t)=-0.1t

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To find: The average value of f(t)=−0.1t2+t+50 on [3,6]

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Chapter 5 Solutions