1) Given a tank initially contains 200 gallons of brine (salt mixed with water) in which…

1) Given a tank initially contains 200 gallons of brine (salt
mixed with water) in which 150 lbs of salt is dissolved. A salt
solution consisting of 0.5×(1 + e^(-0.02t)) lb. of salt per gallon
(where t is time in unit of minute) is flowing into the tank at a
rate of 10 gal./min and the mixed solution is drained from tank at
the same rate. Find the amount of the salt in the tank after 1
hour. (10 points) (Check “Modified mixing problem on page 14 of the
textbook” under non-narrated Lecture 4 and examples)

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