A tank contains 100 gallons of water and 50 oz of salt. water containing a salt solution of concentration 2 + sin t oz/gallon flows into the tank at a rate of 2 gal/min and the well mixed solution drains at the same rate.
a. find the amount of salt in the tank at any given time.
b. describe the behavior of the solution. is it periodic? what is its period, what is its amplitude?
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