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 )

Pearson eText for Calculus & Its Applications -- Instant Access (Pearson+)

15th Edition

ISBN: 9780137590728

Author: Larry Goldstein, David Lay

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

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Ch. 8.1 - A right triangle has one angle of /3 radians. What...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Give the radian measure of each angle described.Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E

Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.2 - Find cost, where t is the radian measure of the...Ch. 8.2 - Prob. 2CYU Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - In Exercises 112, give the values of sint and...Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - Prob. 26E Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.2 - Prob. 29E Ch. 8.2 - Prob. 30E Ch. 8.2 - Prob. 31E Ch. 8.2 - Prob. 32E Ch. 8.2 - Prob. 33E Ch. 8.2 - Prob. 34E Ch. 8.2 - 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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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Chapter 8 Solutions