1. A 100-gallon tank initially holds 50 gal of brine containing 5 pounds of salt. Brine containing...

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1. A 100-gallon tank initially holds 50 gal of brine containing5 pounds of salt. Brine
containing 1 pound of salt per gallon enters the tank at the rateof 4 gal/s, and the
well-mixed brine in the tank flows out at the rate of 3gal/s.
(a) How much salt will the tank contain at the time when the tankis full of brine?
(b) If the tank had an infinite capacity, what is the maximumamount of salt that
it could contain?

4. y' ? 2xy = 8x. find a general solution.

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