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A tank contains 144 gal of water and 48 oz of salt. Water containing a salt...

A tank contains 144 gal of water and 48 oz of salt. Water containing a salt concentration of   (1/6+1/12sin  t) oz/gal flows into the tank at a rate of 3 gal/min, and the mixture in the tank flows out at the same rate.

(a) Find the amount of salt in the tank at any time.

The amount of salt in the tank is Q(t)=

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