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Differential Equations and Rate of Change

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A tank contains 54 gallons of pure water. A salt water solution with 2 pounds of salt per gallong enters the tank at a rate of 3 gallons per minute, and the well-stirred mixture leaves the tank at the same rate (3 gallons per minute).

a. How much salt is in the tank at any time t?
b. When, to the nearest minute, will the water leaving the tank contain 4/3 pounds of salt per gallon?

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Solution Summary

It finds the salt in the tank by solving differential equations. The solution is detailed and well presented.

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