Unformatted text preview: 4. Consider a large vat containing 100 gallons of fresh water that is to be made into soft
chinks. Sugar water containing 5 tablespoons of sugar per gallon enters the vat through a
pipe at a rate of 2 gallons per minute. Soft drink ﬂavoring containing 10 tablespoons of
sugar per gallon enters the vat through a different pipe at a rate of 1 gallon per minute.
To keep the vat at 100 gallons, the well-stirred sugar water is drained from the vat
through a third pipe at the bottom of the vat at a rate of 3 gallons per minute.
FORMULATE BUT DO NOT SOLVE an initial value problem Whose solution gives
the amount of sugar in the vat at any time. Make sure you explicitly deﬁne your variables, including units dﬁ _._ Flatt as (Agar-n" VOCiC Emaﬂlo POll’ltS)
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- Spring '09