Question

Water is draining from a large tank. After tmin, there are150000-7500t +t2 litres of water in...

Water is draining from a large tank. After tmin, there are150000-7500t +t2 litres of water in the tank.

a) Determine the average rate at which the water empties from the tank in the interval between 5 and 10 minutes.

b) Determine the average rate at which the water empties from the tank in the interval between 9 and 10 min.

c) Estimate the rate at which the water runs out after exactly 10 min.

d) How much water is in the tank at exactly 10 min?

Math   Precalculus   
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 is initially filled with 1000 litres of a salt solution containing 1000 grams of...
A tank is initially filled with 1000 litres of a salt solution containing 1000 grams of salt. A solution containing 10 g/l runs into the tank at the rate of 5 l/min and the well stirred mixture runs out of the tank at the same rate. (i) Determine the differential equation with initial condition that models this situation. (ii) Determine how long it will take for the salt in the tank reaching 2500g.
consider a large tank initially holding 300 L of solution in which 20 Kg of sugar...
consider a large tank initially holding 300 L of solution in which 20 Kg of sugar was dissolved, a solution of sugar begins to flow at a constant rate of 9 L/min into the tank. the solution inside the tank is kept well stirred and is flowing out of the tank at the rate of 6 L/min. if the concentration of sugar in the solution entering the tank is 0.5 Kg/L. determine the mass of the sugar in the tank...
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 full tank with a capacity of 500 gal originally contains water with 200lb of salt....
a full tank with a capacity of 500 gal originally contains water with 200lb of salt. water containing 1lb of salt per gallon is entering at a rate of 4 gal/min and the mixture is allowed to flow out at a rate of 6 gal/min thus the tank is draining. how much salt is in the tank when it is half full?
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=
A large storage tank, open to the atmosphere at the top and filled with water, develops...
A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 14.0 m below the water level. If the rate of flow from the leak is 2.20 ✕ 10−3 m3/min, determine the following. (a) Determine the speed at which the water leaves the hole. m/s (b) Determine the diameter of the hole. mm
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 large tank is filled with 80 gallons of fluid in which 2 pounds of salt...
A large tank is filled with 80 gallons of fluid in which 2 pounds of salt are dissolved. Brine containing 1/2 pound of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is then pumped out at the same rate of 3 gal/min. Find the concentration of salt in the tank after 30 minutes.
A large storage tank, open at the top and filled with water, develops a small hole...
A large storage tank, open at the top and filled with water, develops a small hole in its side at a point 16.8 m below the water level. The rate of flow from the leak is found to be 3.00 10-3 m3/min. (a) Determine the speed at which the water leaves the hole. 22.22 Incorrect: Your answer is incorrect. The water speed at the top of the tank can be assumed to be zero since the flow rate from the...
A tank holds 100 gallons of water, which drains from a leak at the bottom, causing...
A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty in 40 minutes. According to Toricelli's Law, the volume V of water remaining in the tank after t min is given by the function V = f(t) = 100 1 − t 40 2 . (a) Find f −1. f −1(V) = $$ Correct: Your answer is correct. What does f −1 represent? f −1 represents the rate at which...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT