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An aquarium pool has volume 2 · 106  liters. The pool initially contains pure fresh water. At  t =...

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Basic Math

An aquarium pool has volume 2 ·106  liters. The pool initially contains purefresh water. At  t = 0 minutes, watercontaining 20 grams/liter of salt is poured into the pool at a rateof 60 liters/minute. The salt water instantly mixes with the freshwater, and the excess mixture is drained out of the pool at thesame rate (60 liters/minute).

(a) Write a differential equation forS(t), the mass of salt in thepool at time t.

dS
dt

=

(b) Solve the differential equation to findS(t).

S(t) =


(c) What happens to S(t) ast → ∞?

S(t) → ____________grams

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