A tank, with a capacity of 200 gallons, is half filled with distilled water. At the instant t= 0, a solution is introduced into the tank at a rate of 5t gal/min, and the mixture, perfectly stirred, is extracted at a rate of 3 gal/min A) Discuss the truth or falsehood of the following statement: dV/dt= 5t − 3 B) At what instant does the tank fill up?

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