4. A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine containing 18 pounds of salt per gallon is pumped into the tank at a rate of 6 pounds per minute. The "well-mixed" solution is then pumped out at a rate of 3 gallons per minute. Find the amount of salt (a) at any time, t (b) after 45 minutes.

4. A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it. Brine containing 18 pounds of salt per gallon is pumped into the tank at a rate of 6 pounds per minute. The "well-mixed" solution is then pumped out at a rate of 3 gallons per minute. Find the amount of salt (a) at any time, t (b) after 45 minutes.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

See similar textbooks

Related questions

Q: b) Aqmal has been assigned to study the process of crystallizing tomato from tomato solution. An…

Q: : a very large tank initially contains 15 gallons of saltwater Recall the salty tank containing 6…

A: Let S be the amount of salt and t be the time. Tank A: The rate of salt entering the tank will be,…

Q: 2. A tank contains 2,000 liters of brine. Brine containing 5N/liter of salt flows in at 10…

A: We will find out the initial concentration of the salt for the given problem.

Q: Suppose a 1000 L tank contains 100 L of fresh water at time t = 0. At that time, a salt water…

A: The rate of change of a substance in a container is determined by the concentrations as well as the…

Q: 4. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

Q: A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water containing…

Q: 4. A large tank contains 100 gal of brine in which initially 50 lbs of salt are dissolved. Brine…

Q: How do you solve question 3?

Q: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate to conform with…

A: Given: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate.To…

Q: A 200 gal tank is half full of distilled water. At time = 0, a solution containing 1 Ib/gal of…

A: given capacity of tank =200 gal concentration =1 lb/gal rate of enter =4 gal/min rate of withdrawn…

Q: A tank contains 2,000 gallons of brine. Brine containing 5 lb/gallon of salt flows in at a rate of…

Q: Consider two interconnected tanks of brine solution. Assume that Tank Y contains 20 litres of water…

A: We are entitled to solve one question at a time and up to 3 sub-parts only. Please post other…

Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

Q: A 50 – gallon tank of pure water has a brine mixture with concentration of 2 pounds per gallon…

A: Form the first order differential equation then find its solution to get amount of salt at any time…

Q: Tank # 1 initially holds 50 gals of brine with a concentration of 1 lb/gal, while Tank # 2 initially…

A: The working principle here will be Rate of change of salt=Inflow of salt-outflow of salt. The amount…

Q: A tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

Q: 2.18: When brought to the emergency room, an accident victim has 3 liters of blood and is still…

A: Let x(t) gltr be the amount of antibiotic drug. rate in = 0.5 ltrhr0.5gltr=0.25ghrrate…

Q: Tank A contains 274 litres of brine holding 123 N of dissolved salt, and tank B contains 274 litres…

Q: the radiator in a car is filled with a solution of 60% antifreeze and 40% water. the manufacturer of…

A: In a 3.6 L radiator, the quantity of antifreeze is given by: In a 3.6 L radiator, the quantity of…

Q: A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir…

A: According to the given information,

Q: C Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 100 L…

A: We will use the fact Rate of change = Rate in - Rate out to find differential equation for amount…

Q: 11. A tank initially contains 100 L of brine with 25 N of dissolved salt. Fresh water and brine…

A: as given initial concentration of tank is 100 L of brine with 25 N of dissolved salt. fresh water…

Q: A large tank initially contains 50 liters of brine in which there is dissolved 5 grams of salt.…

Q: A tank initially contains 400 gal of fresh water. At time t= 0, a brine solution with a…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic…

Q: A lake has a water volume of 450 km³ and a flow rate (in and out) of 175 km³ per year. If at some…

A: The rate of change in pollution equals the product of the flow rate and pollution change. Therefore…

Q: 1. a) A car is driving toward an intersection from the east at 40 mi/h, and a second car is driving…

A: Here the two cars are approaching each other at right angles with different speeds. Therefore the…

Q: Tank A contains 499 litres of brine holding 192 N of dissolved salt, and tank B contains 499 litres…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Given problem Given that

Q: Suppose there are two tanks, each containing 20 L of fluid. Tank 1 initially contains water with 4kg…

A: The given system is as follows: Here, pure water is pumped in to each of the tanks. Suppose after…

Q: onsider two tanks T1 and T2 with T1 containing 50 gallons of water in which 25 pounds of salt is…

A: To find the salt contents y1(t) and y2(t) in T1 and T2 respectively. To determine the time when the…

Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: The initial mass of a certain species of fish is 3 million tons. The mass of fish, if left alone,…

A: Solve the given problem

Q: Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing…

A: Let at any instant t, the weight od salt in tank A is 2 and tank B is y. By using the given…

Q: The radiator car is filled with a solution of 65% antifreeze and 35% water. The manufacturer of the…

A: The capacity of the radiator is 3.9L.Let x be the amount of coolant to be drained.

Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres…

Q: A 500-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 2 Ib…

A: Given: Equation data is given

Q: Consider the following system of tanks. Each tank initially contains V1 = 200 gallons and V2 = 300…

Q: A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have been…

A: Given, A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have…

Q: Consider two interconnected tanks as shown in the figure above. Tank 1 initial contains 10 (liters)…

A: Given: Let p(t) and q(t) stand for the number of grams (g) of salt in tanks 1 and 2, respectively,…

Q: A tank contains 1000 liters of brine. Brine containing 0.4 kg/liter of salt flows in at 10…

A: Let st= The amount of salt at time t. The brine flows in at the rate 10 liters/minute and flows out…

Q: 2.21: A tank that can hold 500 gal. originally contains 200 gal. of water with 100 lbs. of salt in…

A: Originally tank can hold water =500 gal. But the water in the tank =200 gal. Salt in the solution of…

Q: 20.Consider two interconnected tanks similar to those in Figure 7.1.6. Initially, Tank 1 contains 60…

Q: Two tanks are connected as in Figure Q2b. Tank 1 initially contains 20 kilograms of salt dissolved…

A: Here we will use differential equation to solve this problem

Q: We have a mixing tank that contains 100 gallons of water into which 5 pounds of sugar have been…

A: According to question. Initial amount of water in tank= 100gallons Initial amount of sugar = 5 pound

Q: A 25-liter gas cylinder contains 80% oxygen and 20% helium. If helium is added at a rate of 0.2…

A: The volume of cylinder =25 litre The percentage of oxygen in the cylinder initially=80% The amount…

Q: In a room containing of air 20,000 m3 of air, 600 m3 of fresh air flows in per minute, and the…

Q: Tank A contains 407 litres of brine holding 181 N of dissolved salt, and tank B contains 407 litres…

Q: Consider two interconnected tanks as shown below. Tank 1 initially contains 600 gal of water with 3…

A: !st we will find volume of solution in both tank to find concentration of salt after t minutes and…

Question

Please answer this Advance Calculus question correctly

4.
A large tank initially contains 150 gallons of fluid, with 6 pounds of salt dissolved in it.
Brine containing 18 pounds of salt per gallon is pumped into the tank at a rate of 6
pounds per minute. The "well-mixed" solution is then pumped out at a rate of 3 gallons
per minute. Find the amount of salt
(a) at any time, t
(b) after 45 minutes.

More advanced version of multivariable calculus. Advanced calculus includes multivariable limits, partial derivatives, inverse and implicit function theorems, double and triple integrals, vector calculus, divergence theorem and stokes theorem, advanced series, and power series.

Expert Solution