A 50-gal barrel is filled completely with pure water. Saltwater with a concentration of 0.3 Ib/ga then pumped into the barrel, and the resulting mixture overflows at the same rate. The amoun salt in the barrel at time t is given by Q (t) = 15 (1 – e-0.041 ) where t is measured in minutes

Q: We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: . An automobile of mass M=5400 kg is moving at a speed of 30 m/s.The engine is disengaged suddenly…

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Q: A tank contains 1000L of brine with 5kg of dissolved salt. Pure water enters the tank at a rate of…

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Q: A large tank is filled to capacity with 2000 L of pure water. Brine containing 0.25 kg salt per…

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Q: = 4000 1 0 代 50 50

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Q: The number of books in a library increases at a rate according to the function B'(t) = 360 e the…

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Q: A 2500-gallon tank initially contains 500 gallons of water with 6 pounds of salt dissolved in it.…

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Q: A vessel initially contains 80 gal of a brine solution containing 3 Ib of salt. Another solution…

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Q: A tank contains 200 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: You are asked to make 300mL of a solution of concentrate X, which when diluted with water 1 in 10,…

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Q: A tank initially holds 10 gal of fresh water. at t=0, a brine solution containing 1/2 lb of salt per…

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Q: tank initially contains a solution of 10 pounds of salt in 60 gallons of water. Water with 1/2 pound…

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Q: A 1. The radioactive isotope lead, Pb-209, decays at a rate proportional to the amount present at…

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Q: Two tanks are connected in tandem as shown in the following figure. Each tank contains 60 gal of…

A: (a) What is the initial amount of salt (in lb) in tank 2? At t = 0 A(0) = 180(1 − e−0/30) −…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.