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Problem 3. A tank contains 1020 L of pure water. Solution that contains 0.07 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(r) =. (kg)

Problem 3. A tank contains 1020 L of pure water. Solution that contains 0.07 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(r) =. (kg)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Problem 3. A tank contains 1020 L of pure water. Solution that contains 0.07 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(r) =. - (kg) %3D
Transcribed Image Text:Problem 3. A tank contains 1020 L of pure water. Solution that contains 0.07 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(r) =. - (kg) %3D
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