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What is the rate of change for f(x) = -2cos(4x) - 3 on the interval from x = 0 to x = pi over 4 ?
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Find f(pi/4):
f(pi/4) = -2*(-1) - 3 = -1
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Find f(0):
f(0) = -2*1 - 3 = -5
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Average rate of change = (f(pi/4) - f(0))/(pi/4)
= 4/(pi/4)
= 16/pi