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    Rate of Change

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    (a) Suppose the position of an object moving in a straight line is given by
    s(t)=5t^3 - t^2 +9. Find the instantaneous velocity when t=2.

    (b) Find the instantaneous rate of change for the function at the given value:
    f(x)= x^2 + 5x at x=2

    © BrainMass Inc. brainmass.com December 15, 2022, 8:21 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/determining-rate-change-example-problem-294884

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    Hi,

    For (a), we will differentiate s(t) with respect to t to get ...

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