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A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt...

A tank contains 360 gallons of water and 50 oz of salt. Water containing a salt concentration of 1/6 (1 + 1/4 sin t)
oz/gal flows into the tank at a rate of 8 gal/min, and the mixture in the tank flows out at the same rate.

The long-term behavior of the solution is an oscillation about a certain constant level.

a) What is this level?
b) What is the amplitude of the oscillation? (Round your answers to two decimal places.)

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