Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases as a rate that is proportional to the amount of the drug that is present at a time. Thus, C'(t) = kC(t). a. If C0 is the concentration at time t=0, find the concentration at time t. b. If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug.
Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases as a rate that is proportional to the amount of the drug that is present at a time. Thus, C'(t) = kC(t). a. If C0 is the concentration at time t=0, find the concentration at time t. b. If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t) decreases as a rate that is proportional to the amount of the drug that is present at a time. Thus, C'(t) = kC(t).
a. If C0 is the concentration at time t=0, find the concentration at time t.
b. If the body eliminates half the drug in 30 hours, how long does it take to eliminate 90% of the drug.
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