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A large tank has a capacity of 300 gallons. Initially, the tank contains a brine solution of 200 gallons with 40 pounds of dissolved salt. A solution with a concentration of 4 pounds of salt per gallon is admitted into the tank and the well-stirred solution is withdrawn from the tank at a rate of 2 gallons per minute. a) Find the function (1) where y(1) represents the number of pounds of salt in the tank at f minutes. Give exact values here. b) Find the number of pounds of salt in the tank when the tank is completely full. Express your answer as a decimal with 1 decimal place accuracy.

A large tank has a capacity of 300 gallons. Initially, the tank contains a brine solution of 200 gallons with 40 pounds of dissolved salt. A solution with a concentration of 4 pounds of salt per gallon is admitted into the tank and the well-stirred solution is withdrawn from the tank at a rate of 2 gallons per minute. a) Find the function (1) where y(1) represents the number of pounds of salt in the tank at f minutes. Give exact values here. b) Find the number of pounds of salt in the tank when the tank is completely full. Express your answer as a decimal with 1 decimal place accuracy.

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 large tank has a capacity of 300 gallons. Initially, the tank contains a brine solution of 200 gallons with 40 pounds of dissolved salt. A solution with a concentration of 4 pounds of salt per gallon is admitted into the tank and the well-stirred solution is withdrawn from the tank at a rate of 2 gallons per minute. a) Find the function (1) where y(1) represents the number of pounds of salt in the tank at f minutes. Give exact values here. b) Find the number of pounds of salt in the tank when the tank is completely full. Express your answer as a decimal with 1 decimal place accuracy.
Transcribed Image Text:A large tank has a capacity of 300 gallons. Initially, the tank contains a brine solution of 200 gallons with 40 pounds of dissolved salt. A solution with a concentration of 4 pounds of salt per gallon is admitted into the tank and the well-stirred solution is withdrawn from the tank at a rate of 2 gallons per minute. a) Find the function (1) where y(1) represents the number of pounds of salt in the tank at f minutes. Give exact values here. b) Find the number of pounds of salt in the tank when the tank is completely full. Express your answer as a decimal with 1 decimal place accuracy.
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