910 Suppose that the concentration C in mg/L of medicationin a patients bloodstream is

Chapter 13, Problem 10

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Suppose that the concentration C in mg/L of medication in a patient’s bloodstream is modeled by the function \(C(x, t)=0.2 x\left(e^{-0.2 t}-e^{-t}\right)\), where x is the dosage of the medication in mg and t is the number of hours since the beginning of administration of the medication.

(a) Suppose that the medication in the bloodstream reaches an effective level after a half hour. Estimate how much longer the medication remains effective.

(b) Suppose the dosage is 100 mg. Estimate the maximum concentration in the bloodstream.

Equation Transcription:

Text Transcription:

C(x, t)=0.2x(e^-0.2t -e^-t)

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