5760 Medication can be administered to a patient in differentways. For a given method

Chapter 5, Problem 58

(choose chapter or problem)

Medication can be administered to a patient in differ- ent ways. For a given method, let \(c(t)\) denote the concentration  of medication in the patient’s bloodstream (measured in mg/L) \(t\) hours after the dose is given. Over the time interval \(0 \leq t \leq b\), the area between the graph of \(c=c(t)\) and the interval \(c=c(t)\) indicates the “availability” of the medication for the patient’s body over that time period. Determine which method provides the greater availability over the given interval.

Method 1: \(c(t)=5\left(e^{-0.2 t}-e^{-t}\right)\),

Method 2: \(c(t)=4\left(e^{-0.2 t}-e^{-3 t}\right) ;[0,24]\)

Equation Transcription:

Text Transcription:

c(t)

t

0 ≤ t ≤ b,

c = c(t)

[0, b]

c(t) = 5(e^−0.2t − e^−t)

c(t) = 4(e^−0.2t − e^−3t ); [0, 24]