A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at rate 9 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) = (kg) (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim y(t) = t→ 00 (kg)
A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at rate 9 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) = (kg) (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim y(t) = t→ 00 (kg)
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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Transcribed Image Text:A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at
rate 9 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) =
(kg)
(b) Find the amount of sugar after t minutes.
y(t)
(kg)
(c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit.
lim y(t) =
(kg)
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