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  3. 4. consider a mixing tank with a volume of 50 gall

4. Consider a mixing tank with a volume of 50 gallons which is initially filled with...

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Advance Math

4. Consider a mixing tank with a volume of 50 gallons which isinitially filled with 10 gallons of fresh water. Suppose there isan inflow pipe which pumps in a 1 lb/gallon brine (salt/water)mixture at a rate of 4 gallons per minute, and there is an outflowpipe which removes the mixture from the tank at a rate of 2 gallonsper minute.

  1. (a) Use the given information to derive an initial value problemwhich models the amount of salt in the tank as a function oftime.

  2. (b) Find the solution of the initial value problem.

  3. (c) How much salt in the tank when the tank is full?

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