tank contains pure water. Sa on that contains 0.00 kg of sug mixed inI The new solution drains out of the tank at the same rate. ) How much sugar is in the tank at the begining? (0) = ka) %3D ) Find the amount of sugar after t minutes. (() - ka) kg) ) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim y(t)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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A tank contains 1580 L of pure water. Solution that contains 0.06 kg of sugar per liter enters the tank at the rate 4 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)
%3D
(b) Find the amount of sugar after t minutes.
v(t) = ka)
(c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim y(t)
(kg)
Transcribed Image Text:A tank contains 1580 L of pure water. Solution that contains 0.06 kg of sugar per liter enters the tank at the rate 4 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) %3D (b) Find the amount of sugar after t minutes. v(t) = ka) (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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