1. Two well-mixed tanks are hooked up so that waterwith 2 pounds of salt per gallon flows into the first tank,well - mixed water flows out of the second tank, waterflows from the first tank to the second tank, and waterflows from the second tank to the first tank. All flows areconstant. Determine how much water is in each of thetwo tanks, given if x is the amount of salt in the first tankand y is the amount of salt in the second tank then 3x= -x + y + 30 and 6y' 2x - 3y. The answer shouldbe 45 gallons in the first tank and 30 gallons in thesecond tank.=

Equate both differential equations to zero and find the value of x and y:Then we have,-x+y+30=0…

Answered: 1. Two well-mixed tanks are hooked up…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A company produces two types of hand soaps: a solid and a liquid soap. The cost of production for a solid soap is 10 cents per soap and 20 cents for the liquid soap. The company developed a model that predicts how many units x1 (of the solid soap), and x2 (of the liquid soap) they will sell per month. According to the model, the amount of units sold depends on the prices p1,p2 (in dollars) of solid and liquid soap through the equations ( see attached for equation) Set up a function to describe how the total profit (revenue - costs) depends on the unit prices p1 and p2.
.GIO 91% 1:01 PM You 8 minutes ago 23. Which of the following equations is non-linear in the variables z, zz and za. A. 14r1 +5z2 +2 = I3 B. 12 = 2(V6 - 1) +I3 C. z2 = 2/ - 6z3 D. + 70x, - 17r 19
15. An eastbound train leaves Chicago and averages 125 km/h heading for New York City 1300 km away. At the same time, a westbound train leaves New York City and averages 135 km/h heading for Chicago. In how many hours will the trains pass each other? Eastbound train Westbound train Rate x Time = Distance 125 135 ii. t - i. iii.
5. Will orders two drinks at a coffee shop. Drink 1 contains 50% espresso. Drink 2 contains 10% espresso. How many ounces of Drink 1 and Drink 2 should Will mix together to get a new drink that is 20 oz. and contains 25% espresso. Fill in the last column of the table below showing the ounces of espresso in each drink. Drink 1 Drink 2 Mixture Ounces of Liquid X y 20 Concentration 0.50 0.10 0.25 Set up two equations from the table and solve the system for x and y. Ounces of Espresso
5. In a blology lab, 300 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into 3 bacteria. Which of the following functions represents the amount of bacteria, b). after thours? a. blt) = 3 300 b. b(t) 300 • 3 c. b(t) =300 d. b(t) = % 300 %3D %3D %3D O A O B O c O D A copy of your responses will be emailed to ela.pilav5815@g. gcpsk12.org. Submit Page 1 of 1 Clear form
The number of pounds of alfalfa hay, x, is equal to The number of pounds of ground ears of corn, y, is equal to
The purchase price of a home y (in $1000) can be approximated based on the annual income of the buyer x1 (in $1000) and on the square footage of the home x2 (in 100 ft2) according to y = ax1 + bx2 + c. The table gives the incomes of three buyers, the square footages of the home purchased, and the corresponding purchase prices of the home. Square Footage (100 ft’) x2 Income Price ($1000) x1 ($1000) y 80 21 180 150 28 250 75 18 160 a. Use the data to write a system of linear equations to solve for a, b, and c. b. Use a graphing utility to find the reduced row-echelon form of the augmented matrix. c. Write the model y = ax1 + bx2 + c. d. Predict the purchase price for a buyer who makes $100,000 per year and wants a 2500 ft2 home.
Prime Paints manufactures two types of paints, one for interior painting and the other for exterior painting. Both types require the use of two raw materials - M1 and M2, so that the maximum daily availabilities of these materials are 24 tons and 6 tons, respectively. It is known that 1 ton of the interior type of paint requires 4 tons of M1 and 2 tons of M2. On the other hand, 1 ton of the exterior type of paint requires 6 tons of M1 and 1 ton of M2. It has been established that the daily demand for interior paint cannot exceed that for the exterior paint by more than 1 ton. Also, the maximum daily demand for interior paint is 2 tons. The company wants to determine the optimum product mix of interior and exterior paints to maximize the total daily profit given that the profit per ton of the interior paint is 4 thousand dollars and the profit per ton of the exterior paint is 5 thousand dollars.

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS