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given by c(t) = a0e^-kt (0 is a subscript) where t is the time elapsed and a0 is the initial concentration after one dose. Further assume that doses of the drug are administered at time intervals of T.

(a) After the first dosage the concentration of the drug is a0. Assuming each dosage

is also going to be a0 of the drug, what is the concentration immediately after the second dosage? After the third dosage? After n dosages? What does the concentration approach as n approaches infinity (this is the equilibrium value)?

You may use the sum 1 + r + r^2 + ... + r^(n-1) = (1-r^n)/(1-r)

(b) Let a1 denote the equilibrium value found in (a). Now suppose that the first dosage

is a1 of the drug and the following doses continue to be a0 of the drug. Following

this model what is the maximum concentration of the drug in the system? Show

why. (hint: consider the concentration after the subsequent dosages)

Thanks again in advance!