Can someone help me solve this problem ?

Mathematics
Tutor: None Selected Time limit: 1 Day

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

C = 2.15(e−0.8t − e−8t).

What is the maximum blood-level concentration, and when does that level occur? (Round your answers to two decimal places.)

Maximum Concentration:

Time:

Oct 13th, 2015

Thank you for the opportunity to help you with your question!

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.
Oct 13th, 2015

kindly confirm that function correctly

Oct 13th, 2015

maxima value is 1.4982 ml/ltr and occurs at t=0.32 s

Oct 13th, 2015

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Oct 13th, 2015
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