1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/l per minutes given by f'(t) = -100e-0.25t where t is the number of minutes after the drug was injected. a) By how much did the concentration of the drug change 15 to 20 minutes after the drug was injected. (net change in the amount of drug in the bloodstream over that time interval) Make sure to give the integral needed to solve the question and your final answer with units. eul(2) b) What was the Average valve of the concentration of the drug in the bloodstream ove 15 to 30 minutes Give the integral needed to solve then you may use your calculator.

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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1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/L
per minutes given by f'(t) = -100e-0.25t where t is the number of minutes after the
drug was injected.
a) By how much did the concentration of the drug change 15 to 20 minutes after the drug was
injected. (net change in the amount of drug in the bloodstream over that time interval) Make
sure to give the integral needed to solve the question and your final answer with units.
b) What was the Average valve of the concentration of the drug in the bloodstream over
15 to 20 minutes. Give the integral needed to solve then you may use your calculator.
senar
Transcribed Image Text:1) The rate of change of the concentration of a drug in a patient's bloodstream measured in mg/L per minutes given by f'(t) = -100e-0.25t where t is the number of minutes after the drug was injected. a) By how much did the concentration of the drug change 15 to 20 minutes after the drug was injected. (net change in the amount of drug in the bloodstream over that time interval) Make sure to give the integral needed to solve the question and your final answer with units. b) What was the Average valve of the concentration of the drug in the bloodstream over 15 to 20 minutes. Give the integral needed to solve then you may use your calculator. senar
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