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Tanks A and Bare filled with 100 gal and 200 gal of brine respectively. Initially, 40...

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Advance Math

Tanks A and Bare filled with 100 gal and 200 gal of brinerespectively. Initially, 40 lb of salt dissolved in the solution intank A and 20 lb of salt dissolved in the solution in tankB. Thesystem is closed in that the well-mixed liquid pumped from A into Band from B into A at a rate of 25gal/min each (so, the liquidvolumes do not change over the time in both tanks).

(a) Find the general equation which represents the saltquantity. (Don’t forget that this is an IVP)

(b) Find the salt concentration of tank A after 1hr (60min).Explain the long term behavior briefly.

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