Suppose that the rate at which the concentration of a drug in the blood changes with respect to time t is given by C'(t)= c/(b-a)(be^(-bt)-ae^(-at)), t>=0 where a, b, and c are constants depending on the drug administered, with b>a. Assuming that C(t)=0 when t=0, find the formula for the concentration of the drug at any time t.

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Exponential Growth Model

The relation that represents an exponential function is: