A patient is injected with a drug every 12 hours. Immediately before each injection the concentration of the drug has been reduced by 90% and the new dose increases the concentration by 1.5mg/L.              (a) What is the concentration after three doses?              (b) If Cn is the concentration after the nth dose, find a formula for Cn as a function of n.              (c) What is the limiting value of the concentration?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.EA: Extended Application A Model For Drugs Administered Intravenously
Problem 3EA
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A patient is injected with a drug every 12 hours.

Immediately before each injection the concentration of the drug has been reduced by 90% and the new dose increases the concentration by 1.5mg/L.

             (a) What is the concentration after three doses?

             (b) If Cn is the concentration after the nth dose, find a formula for Cn as a function of n.

             (c) What is the limiting value of the concentration?

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