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A tank contains 1940 L of pure water Solution that contains 0.01 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? (0)-(kg) (b) Find the amount of sugar after 1 minutes X(t)-(kg) (c) As 1 becomes large, what value is (t) approaching? In other words, calculate the following imt lim y(t) (kg)

A tank contains 1940 L of pure water Solution that contains 0.01 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? (0)-(kg) (b) Find the amount of sugar after 1 minutes X(t)-(kg) (c) As 1 becomes large, what value is (t) approaching? In other words, calculate the following imt lim y(t) (kg)

Advanced Engineering Mathematics
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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A tank contains 1940 L of pure water Solution that contains 0.01 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? 3(0)-(₂) (b) Find the amount of sugar after t minutes X(t)-(0) (c) As 1 becomes large, what value is y(t) approaching? In other words, calculate the following limit lim (kg)
Transcribed Image Text:A tank contains 1940 L of pure water Solution that contains 0.01 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? 3(0)-(₂) (b) Find the amount of sugar after t minutes X(t)-(0) (c) As 1 becomes large, what value is y(t) approaching? In other words, calculate the following limit lim (kg)
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