A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 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→∞0 Question Help: Video
A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 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→∞0 Question Help: Video
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 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at
the rate 2 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→∞0
Question Help: Video
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