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!

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

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Jul 8th, 2015
...
Jul 8th, 2015
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer