calculus

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g(t)=2+cos t; [0,pi]
Can you help me find the average rate of change of the function over the given interval?

  • calculus -

    There is no rate of change of the number 2
    Graph cos t from 0 to pi
    1 at t = 0
    0 at t = pi/2
    -1 at t = pi
    so it drops
    now the average rate of change is the function at pi - the function at t all divided by the time, pi
    function at pi = -1
    function at 0 = +1
    (-1 - 1 )/pi = -2/pi

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