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  3. a) a 50 gallon tank initially contains 10 gallons

A) A 50 gallon tank initially contains 10 gallons of fresh water. At t = 0...

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Advance Math

A) A 50 gallon tank initially contains 10 gallons of freshwater. At t = 0 t = 0 a brine solution containing 1 pound of saltper gallon is poured into the tank at the rate of 4 gal/min., whilethe well-stirred mixture leaves the tank at the rate of 1 gal/min.Find the amount of salt in the tank at the moment of overflow.

B) A tank contains 100100 g of salt and 400400 L of water. Waterthat contains 1414 grams of salt per liter enters the tank at therate 44 L/min. The solution is mixed and drains from the tank atthe rate 66 L/min.

Let yy be the number of g of salt in the tank after ttminutes.

The differential equation for this situation would be:

dydt=dydt=     

Given the initial condition y(0)y(0) = 100 The particular solutionwould be

y(t)y(t)=    

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