Problem 5. Suppose the rabbit population r and the wolf population w are governed bydrdtdwdt(a) Is this system stable, neutrally stable, or unstable?(b) If initially r = 30 and w = 30, what are the populations at time t?(c) After a long time, what is the proportion of rabbits to wolves?= 6r-2w= 2r+w.

Answered: Image /qna-images/answer/430026b7-36df-40ea-850a-86a065dfdb23.jpg

Answered: Problem 5. Suppose the rabbit…

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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12. Suppose an enzyme is known to obey Michaelis-Menten kinetics, but the parameters V and K are not known. Since two parameter values are missing, we might be able to find them by two independent measurements. So, suppose that two data points ($1, R1) = (2 µM, 0.5 µM/s) and (s2, R2) = (5 µM, 1 µM/s) are measured. By substituting the data points into the Michaelis-Menten law, find values of K and V that fit the data. 13. Graph the production rate function R(s) for the parameter values found in the previous step. Also plot the two data points. How well does the curve fit the two data points?
This is System Modeling & Simulation question
3 1 2 4 The figure shows the four data points collected for the population density P(t) of a multicultural bacterial community grown in a bioreactor. The population density function should be of the form P(t) = a + 62' + c3'. Fill in the blanks in the equation below, set up to find the values of a, b, c that best represent this data. Do not solve the system to find a, b, c.
Question 6 Find all the equilibrium points of the competing species model. (other than (0,0)) x'=0.4x -0.2x² +0.2xy y'=0.6y-0.1y2-0.1xy (0, ,0)
10. A factory produces two agricultural pesticides, A and B. For every barrel of A, the factory emits 0.25 kg of carbon monoxide (CO) and 0.60 kg of sulfur dioxide (SO2), and for every barrel of B, it emits 0.50 kg of CO and 0.20 kg of SO2. Pollution laws restrict the factory's output of CO to a maximum of 75 kg and SO2 to a maximum of 90 kg per day. Determine a system of inequalities that describes the number of barrels of each pesticide the factory can produce and still comply the pollution laws.
5. You invest to maximize utility: U = a, -A o. You have an information ratio of 0.5, and a risk aversion parameter, 2, of 12 (in decimal units per year). So, for example, an alpha of 3%, and a risk of 5%, would lead to utility of zero.
Explain the determine grren
1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest, another paying 8% interest, and the third paying 9% interest. The annual interest earned on the three investments last year was Rs 770. The investment at 9% was double the investment at 5%. How much was invested at each rate? [Use Gaussian Elimination Method]
What value of μ makes the above system inconsistent?
5 9.5 please need help.
1. Consider two interconnected tanks as shown below. Tank 1 initially contains 600 gal of water with 3 lb of salt, and Tank 2 initially contains 400 gal of water with 1 lb of salt. Water containing 0.4 lb/gal of salt flows into Tank 1 at a rate of 3 gal/min. The well stirred mixture in Tank 1 flows into Tank 2 at a rate of 4 gal/min. The well stirred mixture in Tank 2 leaves the tank at a rate of 6 gal/min and additionally, flows back into Tank 1 at a rate of 2 gal/min. Let Q₁(t) and Q₂(t) denote the amounts of salt (in lb) in Tank 1 and Tank 2 at time t in minutes. Let V₁ (t) and V₂(t) denote the volumes of solutions (in gal) in Tank 1 and Tank 2 at time t in minutes. Set up the initial value problem satisfied by Q₁(t) and Q₂(t) describing the mixing process. (Show your work to get a full credit) Tank 1 72 Tank 2 T4

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