A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 6 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) t→∞
A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 6 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) t→∞
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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![A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 6 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)
t→∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2133c9-e1e5-4d56-9c72-044227328930%2F1c03a5bc-b610-489c-8587-2c274674ca66%2Fhdw79ms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 6 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)
t→∞
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