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# A patient is given the drug theophylline intravenously at a rate of 43.2 mg/hour to

## Problem 15 Chapter 9.5

Applied Calculus | 5th Edition

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Applied Calculus | 5th Edition

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Problem 15

A patient is given the drug theophylline intravenously at a rate of 43.2 mg/hour to relieve acute asthma. The rate at which the drug leaves the patients body is proportional to the quantity there, with proportionality constant 0.082 if time, t, is in hours. The patients body contains none of the drug initially. (a) Describe in words how you expect the quantity of theophylline in the patient to vary with time. (b) Write a differential equation satisfied by the quantity of theophylline in the body, Q(t). (c) Solve the differential equation and graph the solution. What happens to the quantity in the long run?

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(Chapter 11) – Substance Use Disorders General terms: Tolerance  The need for increased amounts of a substance to achieve the desired effect o Results from biochemical changes in the body that affect the rate of metabolism and elimination of the substance from the body Intoxication  The pathological state produced by a drug, serum, alcohol,...

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A patient is given the drug theophylline intravenously at a rate of 43.2 mg/hour to

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Get Full Access to Applied Calculus - 5 Edition - Chapter 9.5 - Problem 15