3. The diagram illustrates two interconnected tanks. Tank 1 initially contains 30 gallons of water with10 ounces of salt, while Tank 2 has 20 gallons of water with 15 ounces of salt. Water containing1 ounce of salt per gallon enters Tank 1 at 1.5 gal/min; a mixture containing 3 ounces of salt pergallon enters Tank 2 at 1 gal/min; the mixture from Tank 1 enters Tank 2 at 3 gal/min; the mixturefrom Tank 2 enters Tank 1 at 1.5 gal/min; while 2.5 gal/min from Tank 2 exits the system. (8 points)a) LettingQ(t)andQ2(1)1.5 gal/min1 gal/minrepresenting the amount of salt ineach tank at time t, give the DE'swith IC's that models the given1 oz/gal3 oz/galsituation.3 gal/minQ,(t) oz saltQ,(t) oz salt30 gal water20 gal water1.5 gal/minTank 1Tank 22.5 gal/minb) Solve the DE's obtained above.c) What is the long-term salt concentration in each tank?

Answered: Image /qna-images/answer/86ce98f2-1115-4913-ab66-ac7c5d4ef0d5.jpg

Answered: 3. The diagram illustrates two…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Similar questions

A 37.3 kW [50 hp] gasoline tractor is used to operate a pull type sprayer. The tractor list price was $6,500 and it is used an average of 400 hours per year. The sprayer list price is $1,500 and it is used 100 hours per year. The sprayer has a 9.2 m [30 ft] boom and operates at 8 km/hr [5 mi/hr] with a field efficiency of 60%. Fuel costs 15c/L[56.8 c/gall] and the labor cost is $3.00/hr. What is the total hourly cost, the cost per hectare and the cost per acre sprayed? The tractor is expected to be owned for 15 years and the sprayer for 10 years.
Please help
A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.
One face of a washer has an area of 351.9 cm?. The inner radius is 8 cm less than the outer radius. What are the radii? Determine the system of equations for this situation. Let x represent the inner radius of the washer, y represent the outer radius of washer, A represent the area of the washer, and d represent the difference in the radii of the washer. O A. A=1(y² - x²) d=y? -x? OC. A=x(y +x2) O B. A=1(y +x?) d=y-x OD. A=1(y -x) d=y? -x? d=y-x The inner radius is cm and the outer radius is cm. (Round to the nearest whole number as needed.)
A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture of 1 kg salt per liter is poured into the tank at a rate 4 liters per minute. The mixture is well stirred and allowed to leave the tank at a rate 8 liters per minute. a) Determine the amount of salt in the tank at any time. b) Determine the amount of salt in the tank at the instant when the tank begin to overflow.
Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank A into tank B at a rate of 5 L/min and from B into A at a rate of 4 L/min. The liquid inside each tank is kept well stirred. A brine solution with a concentration of 0.1 kg/L of salt flows into tank A at a rate of 10 L/min. The (diluted) solution flows out of the system from tank A at 9 L/min and from tank B at 1 L/min. If initially, tank A contains pure water and tank B contains 10 kg of salt, determine the mass of salt in each tank at time t≥0. x(t) = 10 L/min- 0.1 kg/L y(t) = 9 L/min A x(t) 100 L x(0) = 0 kg 5 L/min What is the solution to the system? 18 4 L/min B y(t) 100 L y(0) = 10 kg ..... 1 L/min O ✔
A solution with 35% ammonia is added at a rate of 5 liters per minute to a vat that initially contains 100 liters of pure water. The mixed solution is drained at 3 liters per minute. At what time will the solution contain 10% ammonia?

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781285741550

Author:

James Stewart

Publisher:

Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:

9780134438986

Author:

Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:

PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:

9780134763644

Author:

William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:

PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:

9781319050740

Author:

Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:

W. H. Freeman

Precalculus

Calculus

ISBN:

9780135189405

Author:

Michael Sullivan

Publisher:

PEARSON

Calculus: Early Transcendental Functions

Calculus

ISBN:

9781337552516

Author:

Ron Larson, Bruce H. Edwards

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS