SOLUTION: 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 - 0.0002t^2 }}} where {{{ 0 <= t

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Question 906319: 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+++-+++0.0002t%5E2+ where +0+%3C=+t+%3C=+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

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
-.0002t^2 + .06t = -.0002(t -150)^2 + 4.5 Completing Square Note: +.06%2F2%28-.0002%29+=+-150
When is the maximum serum concentration reached?
t = 150min
What is the maximum concentration? 4.5 mg/L .0002%2A150%5E2