The concentration of a drug in the body decreases exponentially after a subjects averaged 11 micrograms/milliliter (mcg/mL) of the drug in their blood plasma 1 hr after a 1000-mg dosa and 5 micrograms/milliliter 4 hr after dosage. Assume the concentration decreases according to the exponential decay model. a) Find the value k, and write an equation for an exponential function that can be used to predict the concentratic of the drug, in micrograms/milliliter, t hours after a 1000-mg dosage. b) Estimate the concentration of the drug 2 hr after a 1000-mg dosage. c) To relieve a fever, the concentration of the drug should go no lower than 5 mcg/mL. After how many hours will 1000-mg dosage drop to that level?
The concentration of a drug in the body decreases exponentially after a subjects averaged 11 micrograms/milliliter (mcg/mL) of the drug in their blood plasma 1 hr after a 1000-mg dosa and 5 micrograms/milliliter 4 hr after dosage. Assume the concentration decreases according to the exponential decay model. a) Find the value k, and write an equation for an exponential function that can be used to predict the concentratic of the drug, in micrograms/milliliter, t hours after a 1000-mg dosage. b) Estimate the concentration of the drug 2 hr after a 1000-mg dosage. c) To relieve a fever, the concentration of the drug should go no lower than 5 mcg/mL. After how many hours will 1000-mg dosage drop to that level?
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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