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A brine solution of salt flows at a constant rate of
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Fundamentals of Differential Equations and Boundary Value Problems
- Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.arrow_forwardA container initially contains 15 L of water in which there is 30 g of salt dissolved. A solution containing 4 g/L of salt is pumped into the container at a rate of 3 L/min, and the well-stirred mixture runs out at a rate of 2 L/min. How much salt is in the tank after 35 minutes?arrow_forwardConsider a tank holding initially 100 L of a salt solution in which 1 kg of salt is dissolved. A salt solution begins to flow into the tank at a constant rate of 3 L/min. The concentration of salt in the solution entering the tank is 0.2 kg/L. The solution inside the tank is kept well stirred and flows out of the tank at a rate of 2 L/min. Find the concentration of salt in the tank after 10 minutes.arrow_forward
- A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4 gal/min, and the well-stirred mixture runs out at the same rate. Find the amount of salt in the tank at any time t.arrow_forwardA tank initially holding 80 gals of fuid with 40 lbs of salt has two sources of fluid being pumped in. One source is pumping pure water in at 8 gal/min and the second source is pumping in a salt solution of 0.5 Ibs/gal at 2 gal/min. The tank is emptying at 10 gal/min. Find the amount of salt in the tank after 30 minutes?arrow_forwardA 20 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of 0.5 m/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 1 m/min. How much salt is in the tank when it is half full?arrow_forward
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