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March 24, 2017

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A function is given. Determine the average rate of change of the function between the given values of the variable.
f(t) =
6/t
; t = a, t = a + h

  • college algebra - ,

    f(t)=6/t
    t1=a, t2=a+h
    average rate of change
    = Δf(t)/Δt
    =(f(a+h)-f(a))/(a+h-a)
    =(6/(a+h)-6/a))/(h)
    =(6/h)(1/(a+h)-1/a)
    ...
    simplify to get final answer.

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