let f(x) = Sec (x) in the interval 0<x<pie/3. What is the average rate of change of f(x) with respect to x in this interval?

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  1. find f(0) and f(π/3)

    avg rate of change = (f(π/3) - f(0))/(π/3-0)
    = (2 - 1)/(π/3)
    = 3/π

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