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A tank originally contains 120 liters of water with 5 grams of salt in solution. Beginning...

A tank originally contains 120 liters of water with 5 grams of salt in solution. Beginning at t=0, water containing 0.4 grams of salt per liter flows into the tank at a rate of 2 liters per minute and the uniform mixture drains from the tank at a rate of 2 liters per minute. Letting t be time in minutes and Q be the amount of salt in the tank at time t measured in grams, formulate an initial value problem modeling the amount of salt in the tank at any time.

1) dQ/dt = ____

2) Q(0)= _____

3) Find the solution of the initial value problem Q(t)= _______

Math   Calculus   
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