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Mathematics
Problem
The concentration
C
(
t
)
C(t)
C
(
t
)
of a drug in the bloodstream
t
t
t
hours after injection is modeled by
C
(
t
)
=
15
t
e
−
0.2
t
mg/L
C(t) = 15t e^{-0.2t}\,\text{mg/L}
C
(
t
)
=
15
t
e
−
0.2
t
mg/L
. Calculate the maximum concentration reached and the time at which this occurs.
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