You can put this solution on YOUR website! Let f(x) = sin x.
Find the average rate of change of f from x1 = 5π/4 to x2 = 3π/2
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Ave rate = [f(3pi/2) - f(5pi/4)]/[(3pi/2)-(5pi/4)]
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= [sin(3pi/2) - sin(5pi/4)]/[(12pi-10pi)/(8)]
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= [-1 - -(sqrt(2)/2)] / [pi/4]
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= [-2+sqrt(2)]/2 / (pi/4)
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= 2((-2+sqrt(2))/pi
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= [-4+2sqrt(2)]/pi
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Cheers,
Stan H.
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