A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized at an exponential rate with decay rate constant k = 0.5. Not all the drug is neutralized before the next dose is administered. Let • A(t): denote the amount of drug in the patient's system at time t hours, • Bni denote the amount of drug in the patient at the beginning of the n+1 dosage interval, and • Rn: denote the residual amount of the drug left in the patent at the end of the nth dosage interval. Note: The general form of the Exponential decay Model A(t) = Aoe¬kt where: • Ao: denote the initial amount presented at time t = 0. • k: denote the decay rate (unit: 1/time) • A(t): denote the amount left at time t The formula for the function A(t) over the second dose periods is:
A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized at an exponential rate with decay rate constant k = 0.5. Not all the drug is neutralized before the next dose is administered. Let • A(t): denote the amount of drug in the patient's system at time t hours, • Bni denote the amount of drug in the patient at the beginning of the n+1 dosage interval, and • Rn: denote the residual amount of the drug left in the patent at the end of the nth dosage interval. Note: The general form of the Exponential decay Model A(t) = Aoe¬kt where: • Ao: denote the initial amount presented at time t = 0. • k: denote the decay rate (unit: 1/time) • A(t): denote the amount left at time t The formula for the function A(t) over the second dose periods is:
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A drug is administered every 4 hours in dose of 8 mg. The drug is neutralized
at an exponential rate with decay rate constant k = 0.5. Not all the drug is
neutralized before the next dose is administered. Let
• A(t): denote the amount of drug in the patient's system at time t hours,
• Bni denote the amount of drug in the patient at the beginning of the
n+1 dosage interval, and
• Rn: denote the residual amount of the drug left in the patent at the
end of the nth dosage interval.
Note:
The general form of the Exponential decay Model
A(t) = Aoe¬kt
where:
• Ao: denote the initial amount presented at time t = 0.
• k: denote the decay rate (unit: 1/time)
• A(t): denote the amount left at time t
The formula for the function A(t) over the second dose periods is:
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