A 2 liter tank of water contains 3 grams of salt at time t = 0
(in minutes). Brine with concen-
tration 3t grams of salt per liter at time t is added at a rate of
one liter per minute. The tank
is mixed well and is drained at 1 liter per minute. At what
positive time is there a minimum
amount of salt and what is that amount?
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