3a. A tank contains 100 liters of syrup with sugar concentration 20 g/liter. Syrup is pumped out of the tank at rate 3 liter/min, and syrup with sugar concentration 10 g/liter is pumped in at a rate of 2 liter/min. Find the the amount of sugar (in grams) in the tank at time t minutes.

Q: Atank originally contains 100 gal of fresh water. Then water containing, Ib of salt per gallon is…

A:

Q: Tank A initially holds 100 gallons of brine that contains 100 lbs of salt while tan B holds 100…

A: This is a problem of modeling differential equations.

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Q: A tank contains 90 kg of salt and 1000 L of water. A solution of a concentration 0.045 kg of salt…

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Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

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Q: A solution containing 3g/L of a salt solution pours into a tank, initially half full of water, at a…

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Q: A tank contains 1000 liters (L) of a solution consisting of 144 kg of salt dissolved in water. Pure…

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Q: The ER Dr. has asked you to administer 20 mg of Albuterol via continuous nebulization, over a 4-hour…

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Q: A tank with capacity of Ig000 liters contains 800 liters of water in which are dissolved 23400 arams…

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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.