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A tank contains 2720 L of pure water. Solution that cont 0.03 kg of sugar per liter enters the tank at the rate 5 1 and is thoroughly mixed into it. The new solution drains 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. au(+)

A tank contains 2720 L of pure water. Solution that cont 0.03 kg of sugar per liter enters the tank at the rate 5 1 and is thoroughly mixed into it. The new solution drains 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. au(+)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A tank contains 2720 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 5 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) = t→∞ (kg)
Transcribed Image Text:A tank contains 2720 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the tank at the rate 5 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) = t→∞ (kg)
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