Explanation Let the interval [ a , b ] be divided into n subintervals each of width h . Then, average value of f on [ a , b ] for the n subintervals and the given choices of x i is, A = ∑ i = 1 n f ( x i ) n = b − a b − a ( ∑ i = 1 n f ( x i ) n ) = 1 b − a ∑ i = 1 n f ( x i ) ( b − a n ) = 1 b − a ∑ i = 1 n f ( x i ) h Take limit as n → ∞ .

2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

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Chapter 8.CR, Problem 7CR

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To state:

If average value of the function f on [1,4] is given by 13∫14π(2x2+3)2dx is true or false.

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Chapter 8.CR, Problem 6CR

Chapter 8.CR, Problem 8CR

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To state: If average value of the function f on [ 1 , 4 ] is given by 1 3 ∫ 1 4 π ( 2 x 2 + 3 ) 2 d x is true or false.

Solution Summary: The author states that if the function f is given by 13displaystyle, it is true or false.

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To state:

If average value of the function f on [1,4] is given by 13∫14π(2x2+3)2dx is true or false.

Want to see the full answer?

Chapter 8 Solutions

To state: If average value of the function f on [ 1 , 4 ] is given by 1 3 ∫ 1 4 π ( 2 x 2 + 3 ) 2 d x is true or false.

Solution Summary: The author states that if the function f is given by 13displaystyle, it is true or false.

Concept explainers

Videos

To state: If average value of the function f on [1,4] is given by 13∫14π(2x2+3)2dx is true or false.

Want to see the full answer?

Chapter 8 Solutions

To state:

If average value of the function f on [1,4] is given by 13∫14π(2x2+3)2dx is true or false.