When a certain drug is taken orally, the concentration of the drug in the patien

Algebra
Tutor: None Selected Time limit: 1 Day

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream after t minutes is given by 
C(t) = 0.06t − 0.0002t2,
 where 0 ≤ t ≤ 240 and the concentration is measured in mg/L.

When is the maximum serum concentration reached?
t =  min

What is the maximum concentration?

 mg/L

Jul 8th, 2015

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

dC/dt = 0.06 - 0.0002*2t = 0 

Or, t = 0.06/(0.0002*2) = 150

Hence, C will be maximum after 150 days.

Maximum C = 0.06*150-0.0002*150^2 = 4.5mg/L     Ans. 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 8th, 2015

dC/dt = 0.06 - 0.0002*2t = 0 

Or, t = 0.06/(0.0002*2) = 150

Hence, C will be maximum after 150 minutes..

Maximum C = 0.06*150-0.0002*150^2 = 4.5mg/L     Ans. 


Jul 8th, 2015

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