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DEQ3(takeHome)

# DEQ3(takeHome) - write the initial condition Define the...

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DE Quiz 3 Due next class (Feb 3, 2011). 1. A tank initially contains 40 gallons of brine containing 0.10 pounds of salt per gallon. At t=0 a solution containing 0.25 pounds of salt per gallon begins entering the tank at a rate of 2 gallons per minute, and the well mixed solution leaves at a rate of 2 gallons per minute. Write the differential equation for the amount of salt in the tank at time t and write the initial condition. Note : You are not being asked to solve the equation. A) Write the differential equation for the amount of salt in the tank at time t and
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Unformatted text preview: write the initial condition. Define the symbol used for the dependent variable. B) Solve for the amount of salt in the tank at time t. Show the work involved. C) How much salt is in the tank 30 minutes after the mixing begins and how fast the amount of salt changing at that moment? (Include units) D) What is the amount of salt in the tank approaching as t approaches infinity? E) How would the differential equation in part A change if the solution is entering the tank at a rate of 5 gallons per minute? Write the new DE but you do not need to solve it....
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