If a patient takes a dose of D units of a particular drug, the amount of the
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If a patient takes a dose of D units of a particular drug, the amount of the dosage that remains in the patient’s bloodstream after t days is De−kt, where k is a positive constant depending on the particular drug.
(a) Show that if the patient takes a dose D every day for an extended period, the amount of drug in the bloodstream approaches R = De−k / 1 − e−k .
(b) Show that if the patient takes a dose D once every t days for an extended period, the amount of drug in the bloodstream approaches R = De−kt/1 − e−kt.
(c) Suppose that it is considered dangerous to have more than S units of the drug in the bloodstream. What is the minimal time between doses that is safe? D + R ≤ S.
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a The total amount remaining after t days is Dekn n1 De and ratio ek so the sum of the series is app...View the full answer
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