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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

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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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
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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