A tank holds 200 gal of water that contains 40 lb of dissolved salt. A brine (salt) solution is flowing into the tankat the rate of 2 gal per minute while the solution flows out at the same rate. The brine solution entering the tankhas a salt concentration of 4 lb per gal.(a) Find a function that represents the amount of salt in the tank at any time.(b) As time passes, what happens to the salt concentration?

Answered: Image /qna-images/answer/c603ab9f-0316-4965-ad37-ca9b70b571f2.jpg

Answered: A tank holds 200 gal of water that…

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

The terminal velocity of a skydiver is reached typically about 10-12 seconds into a dive. The square of the terminal velocity of a skydiver (v) is directly proportional to the skydiver's weight (w) and inversely proportional to the skydiver's ground-facing surface area (A). Write an equation that models this situation. Use k for the constant of proportionality. Suppose Christy weighs 60 kilograms and has an approximate downward-facing area of 0.18 square meters. Last week, Christy went skydiving and the terminal velocity was measured as 241 kilometers per hour. If another person goes skydiving under similar conditons and they weigh 82 kilograms with a ground-facing surface area of 0.33 square meters, what would be their terminal velocity? kilometers per hour {Give at least 3 decimal place accuracy}
The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 87 square centimeters? cm/min
デジタル形式で段階的に解決ありがとう!! SOLVE STEP BY STEP IN DIGITAL FORMAT A steel bar is taken out of a furnace at a temperature of 900 °C and allowed to quench in air for 60 minutes, reaching a temperature of 50 °C. If the environment is at 20 °C and the rate of change of the temperature of the bar with respect to time is proportional to the temperature difference between the bar and the environment, determine: a) the proportionality constant b) the time it takes for the steel bar to reach 35 °C
When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's
A tank contains 7070 kg of salt and 10001000 L of water. A solution of a concentration 0.035 kg of salt per liter enters a tank at the rate 8 L/min. The solution is mixed and drains from the tank at the same rate.(a) What is the concentration of our solution in the tank initially?(b) Find the amount of salt in the tank after 2.5 hours.(c) Find the concentration of salt in the solution in the tank as time approaches infinity.

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