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Mathematics
Mathematics
Problem
Water is pumped into a reservoir at a rate of
R
(
t
)
=
k
e
−
0.1
t
+
2
R(t)=k e^{-0.1t}+2
R
(
t
)
=
k
e
−
0.1
t
+
2
liters per minute for
0
≤
t
≤
20
0\le t\le20
0
≤
t
≤
20
minutes, where
k
k
k
is a constant. If the average pumping rate over this time interval is
5
5
5
liters per minute, find the value of
k
k
k
to the nearest hundredth.
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