How to solve this problem when this is the given model? Definition of variables: CSTR ModelQ(t) = the amount of the quantity of salt dissolved in the well-mixed solution at time t (in minutes).V= the initial volumea = the amount of dissolved substance at time tb= the concentration of the solution being poured ine = inflowf = outflowModel:dQdtfV₂+ (e-f)t+ (Q = be where Q (0) = a

Given differential equation dQdt +fv0+e-f tQ=be. Initial condition: Q0=a. Here, Q is dependent…

Answered: Definition of variables: CSTR Model…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the two tanks shown in the figure below. Assume that tank A contains 50 gallons of water in which 25 pounds of salt is dissolved. Suppose tank B contains 50 gallons of pure water. Liquid is pumped into and out of the tanks as indicated in the figure; the mixture exchanged between the two tanks and the liquid pumped out of tank B are assumed to be well stirred. We wish to construct a mathematical model that describes the number of pounds x₁(t) and x₂(t) of salt in tanks A and B, respectively, at time t. dx₁1 dt dx1 dt pure water 3 gal/min mixture 4 gal/min This system is described by the system of equations 1 50 2 25 dx2 dt 2 25 2 25*1 1 + -X2 mixture 1 gal/min -X2 B with initial conditions x₁(0) = 25, x₂(0) = 0 (see (3) and the surrounding discussion on mixtures on page 107). What is the system of differential equations if, instead of pure water, a brine solution containing 3 pounds of salt per gallon is pumped into tank A? -2 25*1 + 50x2+6× dx2 2 - (25)*₁- (25)×₂2 - = x2 dt…
PA-6 (Applicable to Meteorology or its equivalent case). During their visits at PAGASA- Mactan, the senior high school students were briefed by the agency’s staff. One of the contents in such orientation was on air temperature. In consideration of a period of 12 hours, the staff shared to the students the equivalent model to where the durative condition has to be taken into account as regards air temperature. T = 53 + 5t – 0.3t2 , 0 < t < 12 where t is measured in hours and T in degrees Fahrenheit. With these details, find the average temperature during; (6.1) the first 6-hours (6.2) the entire period (6.3) show the graph of this condition
#1 Solve the following non-linear equations manually using: b) Regula Falsi / False-Position Method (5 iterations)
Data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 50 wines, a model was created using the percentages of alcohol to predict wine quality. The data are modeled by Yi=−0.384+0.5332Xi, where Xi is the alcohol content (%) and Yi is the rated quality of the wine. For these data, SYX=0.9431, X=10.19, and hi=0.029612 when X=11. a. Construct a 90% confidence interval estimate of the mean wine quality rating for all wines that have 11% alcohol. _____≤μY|X=11≤_______ (Type integers or decimals. Round to three decimal places as needed. Use ascending order.)
Find the general solution to y"+4y-2y=2x² - 3x+6
2ху + y? — 6х + 2у %3D 0 , find y' х-у-3 - x-y-3 А. х-у-1 х-у + 3 В. х-у-1 С. х-у +1 х +у-3 D. х-у-1
Please solve this fast as you can
Part III Obtain the particular solutions of the following: d. y(2x* - xy + y* )dx –x (2x – y)dy =0,
Question8: Zmin= 19x₁ + 34x₂ + 17x₃14x₁ + 10x₂ + 5x₃ <= 1329x₁ + 22x₂ + 12x₃ = 145x₁, x₂, x₃ >= 0Construct the starting table of the linear model given above.
eet - mgq-dwpo-stm J/0/c/MjUyNZAOMDAwMjl5/a/MJUOMZE1NZK3NTU1/details x + y = 6 x + y = "1 m = m = -2 b = b = SOLUTION: 2. y = 3x + 2 y - 3x = -1 -4 m = m = 4 5 b = b = SOLUTION: What does the graph of the equations look like for Problem 1? What does the graph of the equations look like for Problem 2? What do you notice about the slope of the lines? What do you notice about the y-intercept of the lines? What conclusion can you make from these equations and graphs? acer
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If L(x)=mx+b is the linearization of the cube root of 3x+1 at x=333 , then b=

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