Question

A tank contains 1280 L of pure water. Solution that contains 0.02 kg of sugar per...

A tank contains 1280 L of pure water. Solution that contains 0.02 kg of sugar per liter enters the tank at the rate 3L/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 beginning?

(b) Find the amount of sugar after t minutes.
y(t)=

As t becomes large, what value is y(t) approaching ? In other words, calculate the following limit. lim→∞y(t) =___(kg)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per...
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per liter enters the tank at the rate 44 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)= (b) Find the amount of sugar after t minutes. y(t)= (c) As t becomes large, what value is y(t) approaching ? In other words, calculate...
(1 point) A tank contains 2780 L of pure water. Solution that contains 0.01 kg of...
(1 point) A tank contains 2780 L of pure water. Solution that contains 0.01 kg of sugar per liter enters the tank at the rate 4 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)y(t) approaching ?...
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per...
A tank contains 2100 L of pure water. Solution that contains 0.05 kg of sugar per liter enters the tank at the rate 4 L/min, and is thoroughly mixed into it. The new solution drains out of the tank at the same rate. (b) Find the amount of sugar after t minutes. y(t)=
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per...
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? y=
(1 point) A tank contains 1520 L of pure water. A solution that contains 0.04 kg...
(1 point) A tank contains 1520 L of pure water. A solution that contains 0.04 kg of sugar per liter enters the tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate. (a) How much sugar is in the tank at the beginning? y(0)= (b)Find the amount of sugar (in kg) after t minutes. S(t)= (c)Find the amount of the sugar after 90 minutes. S(90)=
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per...
A tank contains 1000 L of pure water. Brine that contains 0.05 kg of salt per liter of water enters the tank at a rate of 5 L/min. Brine that contains 0.04 kg of salt per liter of water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at a rate of 15 L/min. (a) How much salt is in the tank after t minutes? (b) How much salt...
A tank contains 1000 L of brine (saltwater) with 15 kg of dissolved salt. Pure water...
A tank contains 1000 L of brine (saltwater) with 15 kg of dissolved salt. Pure water enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt is in the tank after t minutes?
A tank contains 20 kg of salt dissolve in 5000 L of water. Brine that contain...
A tank contains 20 kg of salt dissolve in 5000 L of water. Brine that contain 0.03 kg of salt per liter of water enters the tank at a rate of 25 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. How much salt remains in the tank after 13 minutes? (Keep three decimal places.)
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 80 kg of salt and 1000 L of water. Pure water enters a tank at the rate 6 L/min. The solution is mixed and drains from the tank at the rate 3 L/min. Find the amount of salt in the tank after 2 hours. What is the concentration of salt in the solution in the tank as time approaches infinity?
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a...
A tank contains 100 kg of salt and 1000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. (a) What is the amount of salt in the tank initially? (b) Find the amount of salt in the tank after 4.5 hours.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT