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A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at tim A(t)=2(300-3r)-1+2 X lb

A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at tim A(t)=2(300-3r)-1+2 X lb

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 is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. -1+2 A(t) = 2(300 3t) lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 min
Transcribed Image Text:A large tank is filled to capacity with 300 gallons of pure water. Brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. -1+2 A(t) = 2(300 3t) lb X How long (in minutes) will it take for the tank to be empty after this process has started? 100 min
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