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In: Math

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

1. A 100-gallon tank initially holds 50 gal of brine containing 5 pounds of salt. Brine
containing 1 pound of salt per gallon enters the tank at the rate of 4 gal/s, and the
well-mixed brine in the tank flows out at the rate of 3 gal/s.
(a) How much salt will the tank contain at the time when the tank is full of brine?
(b) If the tank had an infinite capacity, what is the maximum amount of salt that
it could contain?

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

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