A 1500-gallon tank initially contains 600 gallons of water with 5 lbs. of salt dissolved in it. Water enters the tank at a rate of 9 gal/hr. and the water entering the tank has a salt concentration of 1/5(1+cos(t)) Ibs./gal. If a well-mixed solution leaves the tank at a rate of 6 gal/hr. A. how much salt is in the tank when it overflows? B. The graph of the salt in the tank

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A 1500-gallon tank initially contains 600 gallons of water with 5 Ibs. of salt dissolved
in it. Water enters the tank at a rate of 9 gal/hr. and the water entering the tank has
a salt concentration of 1/5(1+cos(t)) Ibs./gal. If a well-mixed solution leaves the
tank at a rate of 6 gal/hr.
A. how much salt is in the tank when it overflows?
B. The graph of the salt in the tank
Transcribed Image Text:A 1500-gallon tank initially contains 600 gallons of water with 5 Ibs. of salt dissolved in it. Water enters the tank at a rate of 9 gal/hr. and the water entering the tank has a salt concentration of 1/5(1+cos(t)) Ibs./gal. If a well-mixed solution leaves the tank at a rate of 6 gal/hr. A. how much salt is in the tank when it overflows? B. The graph of the salt in the tank
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