The concentration C(t) of a drug in the bloodstream t hoursafter it has been injected is
Chapter 4, Problem 52(choose chapter or problem)
The concentration \(C(t)\) of a drug in the bloodstream \(t\) hours after it has been injected is commonly modeled by an equation of the form
\(C(t)=\frac{K\left(e^{-b t}-e^{-a t}\right)}{a-b}\)
where \(K>0\) and \(a>b>0\)
(a) At what time does the maximum concentration occur?
(b) Let \(K=1\) for simplicity, and use a graphing utility to check your result in part (a) by graphing \(C(t)\) for various values of \(a\) and \(b\).
Equation Transcription:
Text Transcription:
C(t)
t
C(t)=K(e^-bt-e^-at/a-b
K>0
a>b>0
K=1
C(t)
a
b
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