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Mathematics
Problem
The rate at which water flows into a tank at time
t
t
t
minutes is
k
t
2
k t^{2}
k
t
2
litres per minute. The volume of water in the tank is
0
0
0
litres at
t
=
0
t=0
t
=
0
and
100
100
100
litres at
t
=
2
t=2
t
=
2
minutes. Find the value of
k
k
k
.
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