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3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t)= A-et, a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B.

3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t)= A-et, a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B.

Calculus: Early Transcendentals
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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8. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t) = A.Bt a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B. For another drug, the number of milligrams in a person's system after t hours is given by the equation D(t)=100-2-0.5 d. When will the number of milligrams be half of the initial amount? e. After how many hours will the drug have disappeared completely, according to this model?
Transcribed Image Text:8. When a person takes a drug, one can measure the number of milligrams of the drug in a person's system after t hours. This amount is given by D(t) = A.Bt a. Assume that a person takes 20 milligrams at the beginning. Determine A. b. Assume that the number of milligrams decreases by 20% every hour. Determine B. c. Now assume that instead, the number of milligrams decreases by 20% every 2 hours. Determine B. For another drug, the number of milligrams in a person's system after t hours is given by the equation D(t)=100-2-0.5 d. When will the number of milligrams be half of the initial amount? e. After how many hours will the drug have disappeared completely, according to this model?
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