math calculus

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The concentration C (in milligrams per milliliter) of a drug in a patient's bloodstream t hours after injection into muscle tissue is modeled by
C =
3t/26 + t^3
Use differentials to approximate the change in the concentration when t changes from
t = 1
to
t = 1.5.
(Round your answer to four decimal places.)

  • math calculus -

    C = 3t/26 + t^3
    dC = (3/26 + 3t^2) dt
    Just plug in t=1, dt=0.5

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