A tank initially contains a solution of 10 pounds of salt in 60 gallons of water....

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A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per gallon is added to the tank at 6gal/min, and the resulting solution leaves at the same rate. Let A(t) be the amount of salt in the tank after 7 minutes. Set up the differential equation that models the rate of change of salt in the tank, and give any initial values. A tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound of salt per gallon is added to the tank at 6gal/min, and the resulting solution leaves at the same rate. Let A(t) be the amount of salt in the tank after 7 minutes. Set up the differential equation that models the rate of change of salt in the tank, and give any initial values.

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Step 1 Salt enters at 12 pound per gallon Water flows in at 6 ... View the full answer