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) = 0.08t − 0.0004t^2, where 0 ≤ t &#
Algebra.Com
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): You can put this solution on YOUR website!
the of the vertex ( in this case a maximum ) of a
parabola is given by the formula:
when the equation has the
form ( in this case )
-----------------
The maximum serum concentration is reached
in 100 min
----------------------
The maximum concentration is 4 mg/L
----------------------------------
Here's the plot:
RELATED QUESTIONS
When a certain drug is taken orally, the concentration of the drug in the patient's... (answered by ewatrrr)
please help me solve this equation i have been working at it for awhile.Thank u
When a (answered by ankor@dixie-net.com)
The concentration C(t) of a certain drug in the bloodstream after t minutes is given by... (answered by ikleyn)
The concentration C(t) of a certain drug in the bloodstream after t minutes is given by... (answered by Boreal)
A drug is administered to a patient and the concentration of the drug in the bloodstream... (answered by robertb)
A drug is administered to a patient and the concentration of the drug in the bloodstream... (answered by jim_thompson5910)
The concentration of a drug (in milligrams per liter) in a medical pateitsn bloodstream... (answered by josgarithmetic,MathTherapy)
Please help me solve this equation:
A drug is administered to a patient and the... (answered by Boreal)
A drug is administered to a patient and the concentration of
the drug in... (answered by Fombitz)