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

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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!

C(t) = 0.06t − 0.0002t2,

C(t)=-0.0002[t^2-300t]

      =-0.0002[t^2-300t+150^2]+45

      =-0.0002[t-150]^2+4.5

when t=150 min

max con=4.5mg/l

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

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Jul 8th, 2015
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