dolution
dolution.
The concentration of a drug injected into the bloodstream decreases with time.
The intervals of time T, in hours, at which the drug should be administered are
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T = 1 k ln C2C1 ,
where k is a constant determined by the drug in use, C2 is the concentration at
which the drug is harmful, and C1 is the concentration below which the drug is ineffective.
(Source: Horelick, Brindell, and Sinan Koont, “Applications of Calculus to
Medicine: Prescribing Safe and Effective Dosage, UMAP Module 202.)
For a certain drug, k = 1
3 , C2 = 5, and C1 = 2. How often should the drug be
administered? Round down to the nearest hour.
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