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Mathematics
Mathematics
Problem
The rate of rise of water level
h
h
h
(in cm) in a tank at time
t
t
t
(in minutes) is given by
d
h
d
t
=
5
−
0.1
t
\dfrac{dh}{dt}=5-0.1t
d
t
d
h
=
5
−
0.1
t
. Initially, when
t
=
0
t=0
t
=
0
, the water level is
12
cm
12\,\text{cm}
12
cm
. Find
h
(
t
)
h(t)
h
(
t
)
and hence determine the water level after
10
10
10
minutes.
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