The amounts x 1 (t) and x 2 (t) of salt in the two brine tanks of
Question:
The amounts x1(t) and x2(t) of salt in the two brine tanks of Fig. 7.3.8 satisfy the differential equations
where ki = r/ Vi as usual. In Problems 29 and 30, solve for x1 (t) and x2 (t), assuming that r = 10 (gal/min), x1 (0) = 15 (lb), and x2 (0) = 0. Then construct a figure showing the graphs of x1 (t) and x2 (t).
V1 = 25 (gal), V2 = 40 (gal)
Transcribed Image Text:
dx1 dt = -k1x1 + k2x2, dx2 dt = k₁x1-k2x2,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
Question Posted:
Students also viewed these Mathematics questions
-
A department store is being planned for a new shopping mall. Using the information in Table 4.8, assign departments to locations in order to minimize traffic flow through the store. TABLE 4.8...
-
The amounts x 1 (t) and x 2 (t) of salt in the two brine tanks of Fig. 7.3.8 satisfy the differential equations where k i = r/ V i as usual. In Problems 29 and 30, solve for x 1 (t) and x 2 (t),...
-
The amounts x 1 (t) and x 2 (t) of salt in the two brine tanks of Fig. 7.3.7 satisfy the differential equations where k i = r/V i for i = 1, 2. In Problems 27 and 28 the volumes V 1 and V 2 are...
-
What line of code can you add to disable all logging messages in your program?
-
Selected account balances before adjustment for Intuit Realty at November 30, 2014, the end of the current year, are shown below. Data needed for year-end adjustments are as follows: a. Supplies on...
-
Would it make any sense to say that, since a change in tax policy makes Jorge lose utility while Mary and Demitri gain utility, the policy is good if the loss in Jorges utility is less than the...
-
Calculate the following: 1. \(3.8 \times 10^{-3}+1.006 \times 10^{-3}\) 2. \(9.61 \times 10^{8}-3.85 \times 10^{8}\)
-
Clark Bell started a personal financial planning business when he accepted $36,000 cash as advance payment for managing the financial assets of a large estate. Bell agreed to manage the estate for a...
-
Keep-or-DropDecisionPetoskeyCompany produces three products: Alanson, Boyne, and Conway. Asegmented income statement, with amounts given in thousands,follows:AlansonBoyneConwayTotalSal 2 answers
-
In Problems 23 through 32 the eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x' = Ax. Especially in Problems 29 through 32, use of a computer...
-
Suppose that a particle with mass m and electrical charge q moves in the xy-plane under the influence of the magnetic field B = Bk (thus a uniform field parallel to the z - axis), so the force on the...
-
The following account balances are taken from the general ledger of Whitni Corporation on December 31, 2013, the end of its fiscal year. The corporation was organized January, 2005. Cash . . . . . ....
-
In a random sample of 340 cars driven at low altitudes, 46 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 85 cars...
-
What is the diference between traditional leadership, e-leadership, and digital leadership?
-
The Great Depression dealt a devastating blow to Billy Durant. During the depths of the Depression in 1936, Durant, a high school dropout who was born a few months after the outbreak of the Civil War...
-
Which of the capabilities discussed in this chapter is the most important to succeeding at digital transformation and digital business?
-
The National Health and Nutrition Examination Survey (NHANES) weighed a sample of 546 boys aged 611 and found that 87 of them were overweight. They weighed a sample of 508 girls aged 611 and found...
-
What are the issues for managers of content management?
-
As water moves through the hydrologic cycle, water quality changes are common because of natural phenomena or anthropogenic pollution. Using Figure 11.1, describe how water-quality changes occur...
-
Perform the test in Problem 9.61, and report a p-value (two-tailed)? Endocrinology A study to assess the effect of a low-fat diet on estrogen metabolism recruited 6 healthy women ages 2132 [5]. The...
-
What nonparametric test can be used to compare the 16α-OHE 1 percentages on a high-fat diet vs. a low-fat diet? Endocrinology A study to assess the effect of a low-fat diet on estrogen...
-
Perform the test in Problem 9.63, and report a p-value (two-tailed)? Endocrinology A study to assess the effect of a low-fat diet on estrogen metabolism recruited 6 healthy women ages 2132 [5]. The...
-
Do the winners from free trade win the political argument? Why or why not? The winners from free trade win the political argument because, OA. do, members of Parliament need their votes OB. do not it...
-
22 Statistics Canada has recently reported historically high increases in the CPI. As Tiff Macklin, the governor of the Bank of Canada, noted, higher inflation in Canada will help some Canadians, but...
-
Projectile Motion Component of Motion Characteristics I. Horizontal 1. Affected by gravity II. Vertical 2. Exhibits uniform motion 3. Exhibits uniform accelerated motion 4. Component of initial...
Study smarter with the SolutionInn App