2 A 400 gallon tank initially contains 100 gallons of brine containing 50 lb of salt. Brine containing 1 lb of salt per gallon enters the tank at the rate of 5 gal/s, and the well-mixed brine in the tank flows out at the rate of 3 gal/s. How much salt will be in the tank when it is full of brine? (Answ: 393.75 lb)

Q: A tank initially contains 100 gallons of Brine whose salt concentration is 0.5 lb/gal. Brine whose…

A: We will find out the required solution.

Q: A factory produces bicycles at a rate of 95 + 972t2 from the beginning of week 2 to the end of week…

A: Topic = Application of integration

Q: This question is under the topic optimization and related rates

A:

Q: 3. A tank initially contains 210 litres of fresh water. Brine containing 2.6 N/litre of dissolve…

A:

Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the…

A: Given: tank contains 100 gal of brine made by dissolving 80 lb of salt in water The pure water runs…

Q: In a metal tank, 22.68 Kg of salt were dissolved initially in the 300 liters. Salt was entering and…

A:

Q: 3.) A water faucet leaked 2 , liters of water every /3 leaked at a rate of how many liters per hour?…

A:

Q: (b) A tank contains 50 gal of water in which initially 6 kg of salt are dissolved. Water containing…

A:

Q: Water flows into an empty reservoir at a rate of 3000 + 210t liters per hour (t in hours). What is…

A:

Q: 2. An airplane flies 288 miles weith a 60 mph tailwind and then flies back 288 miles into the 60 mph…

A:

Q: A tank contains 60 kg of salt and 1000 L of water. Pure water enters a tank at the rate 8 L/min. The…

A:

Q: A tank initially contains 200 liters of fresh water, Brine containing 2.5 N/liter of dissolved salt…

A:

Q: A prankster puts 4 lb of soap in a fountain that contains 200 gal of water. To clean up the mess a…

A: Given:          A prankster puts 4 lb of soap in a fountain that contains 200 gal of water.…

Q: A tank contains 40 gal brine for which the concentration is initially 3 lb/gal of salt. A brine…

A:

Q: A large tank holds (400) gallons of brine solution with (50) pounds Q5: of salt. A concentration of…

A:

Q: 8. The mass of a substance varies directly with the volume of the substance. Sixty liters of the…

A: By making equation between mass and volume

Q: Water flows into an empty reservoir at a rate of 2000 + 580t liters per hour (t in hours). What is…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A tank which is initially filled with 15kg of salt dissolved in 3000 L of water. Brine, at a…

A:

Q: A 400 gallon tank initially containing 50 gallons of water with 1lb of salt dissolved is being…

A: dmdt = m˙in - m˙outm˙in = 4galmin x 2 lbgal = 8 lb/minm˙out = 3galmin x mv lbgal = 3mv lb/minv =…

Q: 8. A patient is receiving an IVPB drug at the rate of 125 mL/h. The concentration of the solution is…

A: To determine the dosage in mg/min first we have to determine the amount of IVPB in terms of mg/hr…

Q: 2. A tank initially holds 70 gal of a brine solution containing 2 pounds of salt per gallon. Att =…

A:

Q: 2. A cold beer initially at 35°F warms up to 40°F in 3 min while sitting in a room of temperature…

A: Solution

Q: A 20 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: One car leaves a location and travels directly east at 60 km/h. At the same time a second car leaves…

A: Given: 1st car directly travels east at 60km/h. At the same time from the same location another car…

Q: A tank contains 200 liters of fresh water. Brine containing 2 kg/liter of salt enters the tank at…

A: Let the amount of salt be Q. Volume at any time t: 200+4-3t=200+t The concentration becomes Q200+t.…

Q: A typical glass of wine contains about 21 grams of alcohol. Consider a 96-pound woman with…

A: Given, Total alcohol in a typical glass =21 grams

Q: 10. A tank originally contains 380 litres of brine holding 450 N of dissolved salt. Eight litres/min…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Water flows into an empty reservoir at a rate of 1000 + 60t liters per hour (t in hours). What is…

A: Given: water flows into an empty reservoir at a rate of 1000+ 60 liters per hour ( in hours).

Q: A vat with 500gallons of beer contains 4% alcohol (by volume). Beer with 7% is pumped into the vat…

A:

Q: A tank initially has 100 gallons of brine containing 5 lbs of salt. The mixture is kept well-mixed.…

A:

Q: 3. A cold beer initially at 35°F warms up to 40°F in 3 minutes while sitting in a room of…

A: Let's find.

Q: A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine…

A: Here we will solve salt present after 45 min,

Q: 4) A tank contains 100 gallons of pure water. A brine solution with 1kg/gal of salt enters at…

A: Let's find amount of salt in the tank after 45 minutes.

Q: A tank initially contains 200 liters of pure water. Brine containing 2 kg per liter enters the tank…

A: 1st we will make differential equation and then solve it to find amount of salt

Q: 6.) Before bed Chet finished with some pumpkin pie. The rate at which he ate the pie can be…

A: Given query is to find the amount of pie eaten in 3 min.

Q: In an oil refinery, a storage tank contains 2000 gal of gasoline that initially has 100 lb of an…

A: We know that, dydt=Inflow rate - y(t)v(t)(outflow rate) According to the question v=2000 gal+40…

Q: A tank initially contains 100 gal. of salt solution, where 50 lbs. of salt is added. Salt solution…

A: Given the data

Q: 7.) Sevena figures out that she can walk 2 2 miles in of an hour. What is her rate in miles per…

A:

Q: 3. Brine containing 3lb/gal of salt enters a tank at the rate of 4gal/min and the solution…

A:

Q: 3. A tank contains 1,500 liters of water and 20 kg. of dissolved salt. Fresh water is entering the…

A:

Q: Brine containing 3 lbs per gal of salt enters a large tank at the rate of 2 gal/min and the mixture…

A: We are given that, a brine containing 3 lbs per gal of salt enters a large tank at the rate of 2…

Q: Brine containing 1.5 lb/gal of salt enters a tank at the rate of 2 gal/min and the mixture…

A:

Q: 4. A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water…

A: Given:       Initially there are 150 gal in the tank.   There are 60 pounds of salt in water.   The…

Q: At the beginning of spring, Wyatt planted a small sunflower in his backyard. When it was first…

A: Given: At the beginning of spring, Wyatt planted a small sunflower in his backyard. When it was…

Q: A 650 litre tank initially contains 150 litres of water in which 15 grams of salt are dissolved.…

A:

Q: 11. Tayla purchased a large box of comic books for $300. She 15 of gave the comic books to her…

A: Let the number of comic books be x. Cost of x comic books=300 Cost of 1 comic book=300x Profit on…

Q: A container holds 200 gallons of brine solution containing 50 lb of salt. Initially , fresh water is…

A:

Q: A tank initially holds 80 gal of a brine solution containing 8/1 lb of salt per gallon. At t = 0,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: See picture attached, thank you!

A: Instantaneous rate of change in v(t) = V'(t) = dV(t)/dt

Q: A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water…

A: