23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 88E
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23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of
1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred
mixture leaves the tank at the same rate.
(a) Find the amount Q(t) of salt in the tank at any time t.
(b) Find the limiting amount of salt in the tank after a very long time.
1
Transcribed Image Text:23 8. A tank initially contains 100 gallons of pure water. A mixture which contains a concentration of 1 gram per gallon of salt flows into the tank at the rate of 2 gallons per minute, and the well-stirred mixture leaves the tank at the same rate. (a) Find the amount Q(t) of salt in the tank at any time t. (b) Find the limiting amount of salt in the tank after a very long time. 1
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