A tank contains 1900 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at rate 9 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (a) How much sugar is in the tank at the begining? y(0) = (kg) (b) Find the amount of sugar after t minutes. y(t) = (kg) (c) As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim y(t) = t→ 00 (kg)

Q: A tank contains 1060 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the…

A: I have explained everything with in the solution. Please go through that.

Q: A tank contains 150 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

A: We have to find the solution for given problem.

Q: A tank contains 1380 L of pure water. Solution that contains 0.03 kg of sugar per liter enters the…

A:

Q: 5. If f(x) = (1 +", find f"(40). %3D 20. (A) 0.068 (B) 1.350 (C) 5.400 (D) 6.750 (E) 540.000 O A O E

A:

Q: A mouse on a tightrope is moving such that its position relative to some fixed point is given by…

A:

Q: A tank contains 300 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: As a swimming pool drains, the amount of water in the pool (in gallons) is given by g(t) = 3000 −…

A:

Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: A tank contains 240 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A:

Q: A tank contains 300 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram…

A: We will formulate a differential equation for amount of salt and then solve it to get Salt amount…

Q: A tank contains 2100 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the…

A: In a tank in which mixture of one substance and water is flowing in and out with a certain rate.…

Q: Suppose you are going hiking and over the course of your trip, your velocity at time t hours is…

A: The time t is from 0 to 4 Because initial time = 0 hour after 4 hours, t=4

Q: The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the…

A: Given that the height of the pebble above the water surface after t seconds is y=285-16t2 and t=2.…

Q: A tank contains 350 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A: It is given that a tank contains 350 liters of fluid which contains 20 grams of dissolved salt. Then…