A tank contains 1160 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the tank at the rate 7 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)
A tank contains 1160 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the tank at the rate 7 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)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A tank contains 1160 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the tank at the rate 7 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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