Description
When a drug is administered orally it takes some time before the blood concentration reaches its maximum level. After that time, concentration levels decrease. When 500 milligrams of procainamide is administered orally, one model for a particular patient gives blood concentration C, in milligrams per liter, after t hours as
What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.)
Maximum Concentration:
Time:
Explanation & Answer
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maximum value found by differentiating this function and equating to zero
dC/dt=2.15((-0.8e^-0.8t) + 8e^-8t))=0
simplifying this gives:
-1.72e^-0.8t +17.2e^-8t=0
17.2e^-8t=1.72e^-0.8t
(17.2*-8t)ln e=(1.72*-0.8t)ln e
=0 this function is not correctly captured
Please let me know if you need any clarification. I'm always happy to answer your questions.Review
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