When a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligrams) of the drug in the patient's bloodstream t minutes after injection of the drug is given by 1 A(1) =(a a- Ce kt). In this case, the growth constant k is called the absorption constant. The number a is the amount of the drug added to the bloodstream each minute, and the number C is a constant that depends on the values of a and k. For the case when a = mg. C = (rounded to 3 decimal places) 4 35, and k 0.25, find the amount of the drug in the patient's bloodstream a. 15 minutes after injection. mg b. 45 minutes after injection. mg
When a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligrams) of the drug in the patient's bloodstream t minutes after injection of the drug is given by 1 A(1) =(a a- Ce kt). In this case, the growth constant k is called the absorption constant. The number a is the amount of the drug added to the bloodstream each minute, and the number C is a constant that depends on the values of a and k. For the case when a = mg. C = (rounded to 3 decimal places) 4 35, and k 0.25, find the amount of the drug in the patient's bloodstream a. 15 minutes after injection. mg b. 45 minutes after injection. mg
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:When a drug is intravenously administered to a patient on a continuous basis, the amount A (in milligrams) of
the drug in the patient's bloodstream t minutes after injection of the drug is given by
A(1) = («
(a Ce ).
In this case, the growth constant k is called the absorption constant The number a is the amount of the drug
added to the bloodstream each minute, and the number C is a constant that depends on the values of a and k. For
the case when a 4 mg, C = 35, and k = 0.25 find the amount of the drug in the patient's bloodstream
(rounded to 3 decimal places)
a. 15 minutes after injection.
mg
b. 45 minutes after injection.
mg
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