Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt in 100 gal of brine and tank 2 contains y(t) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2 flows out at 20 gal/min. The salt concentrations in the two tanks are x/100 pounds per gallon and y/200 pounds per gallon, respectively. The rates of change must satisfy the system of differential equations below. If the initial (t = 0) concentration in each brine tank is 0.5 lb/gal, solve the system for the amounts x(t) and y(t) of salt in the two tanks at time t. Click on the icon to view the figure. X 20x'= -6x + y 20y' = 6x-3y Figure x(t) = (Do not round until the final answer. Then round to the nearest hundredth as nee y(t) = (Do not round until the final answer. Then round to the nearest hundredth as nee 20 gal/min Fresh water x(1) lb 100 gal Tank 1 10 gal/min → 30 gal/min y(t) lb 200 gal Tank 2 20 gal/min Print Done

Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt in 100 gal of brine and tank 2 contains y(t) pounds of salt in 200 gal of brine. The brine in each tank is kept uniform by stirring, and brine is pumped from each tank to the other at the rates indicated. In addition, fresh water flows into tank 1 at 20 gal/min, and the brine in tank 2 flows out at 20 gal/min. The salt concentrations in the two tanks are x/100 pounds per gallon and y/200 pounds per gallon, respectively. The rates of change must satisfy the system of differential equations below. If the initial (t = 0) concentration in each brine tank is 0.5 lb/gal, solve the system for the amounts x(t) and y(t) of salt in the two tanks at time t. Click on the icon to view the figure. X 20x'= -6x + y 20y' = 6x-3y Figure x(t) = (Do not round until the final answer. Then round to the nearest hundredth as nee y(t) = (Do not round until the final answer. Then round to the nearest hundredth as nee 20 gal/min Fresh water x(1) lb 100 gal Tank 1 10 gal/min → 30 gal/min y(t) lb 200 gal Tank 2 20 gal/min Print Done

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter16: Table Of Decimal Equivalents And Combined Operations Of Decimal Fractions

Section: Chapter Questions

Problem 34A: A stamped sheet steel plate is shown in Figure 164. Compute dimensions AF to 3 decimal places. All...

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