Explanation Given information: The function f ( t ) = cos t + sin t where − π ≤ t ≤ 0 . Formula used: The average of the function f ( t ) where a ≤ t ≤ b is 1 b − a ( ∫ a b f ( t ) d t ) . ∫ sin x d x = − cos x + C ∫ cos x d x = sin x + C , where C is the constant of integration. Calculation: The average of the function f ( t ) = cos t + sin t where − π ≤ t ≤ 0 is 1 0 − ( − π ) ( ∫ − π 0 ( cos t + sin t ) d t )

12th Edition

ISBN: 9780137590810

Author: Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar, William Edward Tavernetti

Publisher: PEARSON

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Chapter 8, Problem 74RE

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To calculate: Theaverage of the function f(t)=cost+sint where −π≤t≤0.

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Chapter 8, Problem 73RE

Chapter 8, Problem 75RE

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Chapter 8 Solutions

Calculus & Its Applications

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Theaverage of the function f ( t ) = cos t + sin t where − π ≤ t ≤ 0 .

Solution Summary: The author calculates the average of the function f(t)=mathrmcost+

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To calculate: Theaverage of the function f(t)=cost+sint where −π≤t≤0.

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Chapter 8 Solutions