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A tank initially contains 150 gal of brine in which 20lb of salt are dissolved. A...

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Advance Math

A tank initially contains 150 gal of brine in which 20lb of saltare dissolved. A brine containing 3 ​lb/gal of salt runs into thetank at the rate of 4 gal/min.The mixture is kept uniform bystirring and flows out of the tank at the rate of 3 gal/min. Let yrepresent the amount of salt at time t. Complete parts a throughe.

a. At what rate​ (pounds per​ minute) does salt enter the tankat time​ t?

b. What is the volume of brine in the tank at time​ t?

c. At what rate​ (pounds per​ minute) does salt leave the tankat time​ t?

d.Write down and solve the initial value problem describing themixing process. What is the solution to the initial value​problem?

e. Find the concentration of salt in the tank 28 min after theprocess starts.

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