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A tank contains 365 gallons of water and 50 oz of salt. Water containing a salt...

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Basic Math

A tank contains 365 gallons of water and 50 oz ofsalt. 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 mixturein the tank flows out at the same rate.
The long-term behavior of the solution is an oscillation about acertain constant level.

a) What is this level?
b) What is the amplitude of the oscillation?

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