A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. The initial value problem for A(t) is dA A =2- • dt A(0)=0.3 40 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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QUESTION 2
A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is
pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of
salt (in kilograms) in the tank at time t.
dA
The initial value problem for A(t) is
=2-
dt
40
A(0)=0.3
The amount of salt in the tank at time t can be found by solving this first order linear DE, it is
Select the correct answer.
Transcribed Image Text:QUESTION 2 A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution containing 0.4 kilograms of salt per gallon of water is pumped into the tank at the rate of 5 gallons per minute, and the well-stirred mixture is pumped out at the same rate. Let A(t) represent the amount of salt (in kilograms) in the tank at time t. dA The initial value problem for A(t) is =2- dt 40 A(0)=0.3 The amount of salt in the tank at time t can be found by solving this first order linear DE, it is Select the correct answer.
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