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Mathematics
Problem
An initially empty reservoir is filled by an inflow whose rate is
r
(
t
)
=
5
e
−
0.2
t
r(t)=5e^{-0.2t}
r
(
t
)
=
5
e
−
0.2
t
cubic meters per hour, where
t
t
t
is measured in hours. Determine the time
t
t
t
(to the nearest hundredth of an hour) when
12
12
12
cubic meters of water have entered the reservoir.
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