A tank contains 200 L of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tanks at a rate of 4 L/min; the well mixed solution is pumped out at the same rate. Find the A(t) or amount of salt in the tank at any time t.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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A tank contains 200 L of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tanks at a rate of 4 L/min; the well mixed solution is pumped out at the same rate. Find the A(t) or amount of salt in the tank at any time t.

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