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Find the average rate of change off from 0 to f(x) = sin() The average rate of change is (Simplify your answer, including any
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Answer #1

f(x) = sin ( x/2)

plugging x = 0

f(0) = sin (0) = 0

plugging x = 3pi/2

f(3pi/2) = sin ( 3pi/2 / 2 )

f( 3pi/2) = sqrt 2 / 2

average rate of change = ( sqrt 2 / 2 ) / 3 pi/2

= ( sqrt 2 ) / 3pi

( sqrt 2 ) / 3pi
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