Explanation Given information: The function f ( t ) = 1000 + 200 sin 2 ( t − π 4 ) where 0 ≤ t ≤ 3 π 4 Formula used: The average of the function f ( t ) where a ≤ t ≤ b is 1 b − a ( ∫ a b f ( t ) d t ) . ∫ cos ( a x + b ) d x = 1 a sin ( a x + b ) + C , where C is the constant of integration. Calculation: The average of the function f ( t ) = 1000 + 200 sin 2 ( t − π 4 ) where 0 ≤ t ≤ π is 1 3 π 4 − 0 ( ∫ 0 3 π / 4 ( 1000 + 200 sin 2 ( t − π 4 ) ) d t ) . = 1 3 π / 4 ( ∫ 0 3 π / 4 1000 d t + ∫ 0 3 π / 4 200 sin 2 ( t − π 4 ) d t ) = 1 3 π / 4 ( 1000 ∫ 0 3 π / 4 1 d t + 200

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Chapter 8, Problem 73RE

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To calculate: Theaverage of the function f(t)=1000+200 sin 2(t−π4) where 0≤t≤π.

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Chapter 8, Problem 72RE

Chapter 8, Problem 74RE

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 ) = 1000 + 200 sin 2 ( t − π 4 ) where 0 ≤ t ≤ π .

Solution Summary: The author calculates the average of the function f(t)=1000+200sin2( t-pi 4).

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To calculate: Theaverage of the function f(t)=1000+200 sin 2(t−π4) where 0≤t≤π.

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Chapter 8 Solutions