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Question: this is a differential equation problem map 2302 differential equation...

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Due 1/29 (if you want it back on 1/29 turn it on Thursday 1/24) 1. A tank initially contains 50 gallons of brine containing 0.10 pounds of salt per gallorn. At tzo a solution containing 0.20 pounds of salt per gallon begins entering the tank at a rate of 3 gallons per minute, and the well mixed solution leaves at a rate of 3 gallons per minute. A) Write the differential equation for the amount of salt in the tank at time t and write the initial condition. Define the symbol used for the dependent variable. Note: You are not being asked to solve the equation yet. Solve for the amount of salt in the tank at time t. Show the work involved. How much salt is in the tank 30 minutes after the mixing begins and how fast the B) C) D) E) amount of salt changing at that moment? (Include units) What is the amount of salt in the tank approaching as t approaches infinity? Graph the amount of salt in the tank as a function of time. Label the axes and use a window that allows you to see the features you calculated in parts C and D F) How would the differential equation in part A change if the solution is leaving the tank at a rate of 4 gallons per minute? Write the new DE but you do not need to solve it.
This is a differential equation problem
MAP 2302 differential equation
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