Question 1039269: 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) = 0.08t − 0.0004t^2, 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.
Found 2 solutions by solver91311, josmiceli:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
If you have a 2nd-degree polynomial function of the form  , and the lead coefficient is negative, then the graph is parabola that opens downward. The vertex of the parabola represents the maximum of the function. The  -coordinate of the vertex is given by  and the  -coordinate of the vertex, which is the maximum value of the function, is given by ^2\ +\ b(x_v)\ +\ c) .
For your function,  is the independent variable, ) is the dependent variable (the value of the function), 0.08 is the "b" value, and 0.0004 is the "a" value.
Just do the arithmetic.
John
My calculator said it, I believe it, that settles it
Answer by josmiceli(19441)  (Show Source):
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