Question

A tank contains 1280 L of pure water. Solution that contains
0.02 kg of sugar per liter enters the tank at the rate 3L/min, and
is thoroughly mixed into it. The new solution drains out of the
tank at the same rate.

(a) How much sugar is in the tank at the beginning?

(b) Find the amount of sugar after t minutes.

*y*(*t*)=

As t becomes large, what value is *y*(*t*)
approaching ? In other words, calculate the following limit.
lim→∞*y*(*t*) =___(kg)

Answer #1

A tank contains 2100 L of pure water. Solution that contains
0.05 kg of sugar per liter enters the tank at the rate 44 L/min,
and is thoroughly mixed into it. The new solution drains out of the
tank at the same rate.
(a) How much sugar is in the tank at the begining?
y(0)=
(b) Find the amount of sugar after t minutes.
y(t)=
(c) As t becomes large, what value is y(t) approaching ? In
other words, calculate...

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y(0)= (kg)
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A tank contains 1000 L of pure water. Brine that contains 0.05
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and drains from the tank at a rate of 15 L/min.
(a) How much salt is in the tank after t minutes?
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