Please show the work!! A large tank contains 200 gallons of brine in which 100 lbs of salt are dissolved. Brine containing 1 lb/gal of salt is entering at a rate of 3 gal/min. The mixed solution flows out of the tank at a rate of 2 gal/min. If A(t) is the amount of salt in tank at the time t, write the differential equation for dA/dt?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 8CR
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A large tank contains 200 gallons of brine in which 100 lbs of salt are dissolved. Brine containing 1 lb/gal of salt is entering at a rate of 3 gal/min. The mixed solution flows out of the tank at a rate of 2 gal/min. If A(t) is the amount of salt in tank at the time t, write the differential equation for dA/dt?

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