(4 marks) Three difference equations of the form Pn= f(P-1) are given below. For each graph...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
(4 marks) Three difference equations of the form Pn= f(P-1) are given below. For each graph y = = f(x) and y = x, draw a cobweb plot, and use that cobweb plot to analyse the long-term behaviour of each difference equation. (a) Po= 0.8 and Pn= f(Pn-1), where f(x) (b) Po= 0.8 and Pn= f(Pn-1), where f(x) = = 2 I 2 -0.1. (c) Po= 0.8 and Pn = f(Pn-1), where f(x) +0.1. Are there windows of periodic behaviour within chaotic regimes in case the long-term behaviour is chaotic for any of these equations? What periodicity do they have? (4 marks) Three difference equations of the form Pn= f(P-1) are given below. For each graph y = = f(x) and y = x, draw a cobweb plot, and use that cobweb plot to analyse the long-term behaviour of each difference equation. (a) Po= 0.8 and Pn= f(Pn-1), where f(x) (b) Po= 0.8 and Pn= f(Pn-1), where f(x) = = 2 I 2 -0.1. (c) Po= 0.8 and Pn = f(Pn-1), where f(x) +0.1. Are there windows of periodic behaviour within chaotic regimes in case the long-term behaviour is chaotic for any of these equations? What periodicity do they have?
Expert Answer:
Answer rating: 100% (QA)
The equation in part a is of the form P f P n 1 where f x x 2 The cob web plot for this ... View the full answer
Related Book For
Accounting Business Reporting For Decision Making
ISBN: 9780730302414
4th Edition
Authors: Jacqueline Birt, Keryn Chalmers, Albie Brooks, Suzanne Byrne, Judy Oliver
Posted Date:
Students also viewed these accounting questions
-
The closing balance sheet items are given below for Jason Tink in accounting equation form as at 30 June 2014. Transactions for the following month of July are also given. Transactions for July 2014...
-
The financial statements for Harridges Ltd are given below for the two years ended 30 June 2009 and 2010. Harridges Limited operates a department store in the centre of a small town. Dividends were...
-
The financial statements for Harridges Ltd are given below for the two years ended 30 June 2014 and 2015. Harridges Limited operates a department store in the centre of a small town. Dividends were...
-
A machine was sold in December 20x3 for $13,000. It was purchased in January 20x1 for $19,000, and depreciation of $16,000 was recorded from the date of purchase through the date of disposal....
-
Describe four types of navigation controls.
-
A farmer has 100 acres on which to plant oats or corn. Each acre of oats requires $18 capital and 2 hours of labor. Each acre of corn requires $36 capital and 6 hours of labor. Labor costs are $8 per...
-
Dale Corporation has the following data: Dale's return on assets is a. \(15 \%\) b. \(12 \%\) c. \(10 \%\) d. \(4 \%\) Net income $22,000 Average total assets $300,000 Interest expense 8,000 Average...
-
The Specialty Department Stores, Inc., chief executive officer (CEO) has asked you to compare the company's profit performance and financial position with the average for the industry. The CEO has...
-
On April 1, 2024, Titan Corporation purchases office equipment for $75,000. For tax reporting, the company uses MACRS and classifies the equipment as five-year personal property. In 2024, this type...
-
The 30,000-lb concrete pipe section is being transported on a flatbed truck. Five inextensible cables are passed across the top of the pipe and tightened securely to the flatbed with an initial...
-
Walt Co. purchases a futures contract specifying FJ$580,500 (FJ$ stands for Fijian dollar, currency of Fiji) with the June settlement date. This futures contract is priced at $0.48/FJ$. On February...
-
Luke Lumberjack is being tried for raping a woman he has known for a year. The states evidence disclosed that Lumberjack, age twenty-three, had spent an evening with the female complainant, age...
-
Why do European soccer fans follow their teams with such passion even though most have little chance of winning a championship?
-
Many rules of evidence applied in jury trials are derived from the early common law, when jurors were largely uneducated. These rules were designed to prevent jurors from hearing evidence that might...
-
What is the rationale for granting only minimal due process rights to parolees and probationers and to prisoners in disciplinary proceedings?
-
Should MLB adopt a system of promotion and relegation?
-
hearts? What is the probability that a five-card poker hand contains the ace of Q2. (6 points) What is the probability that a five-card poker hand contains a straight flush, that is, five cards of...
-
According during to the IRS, individuals filing federal income tax returns prior to March 31 received an average refund of $1,088 in 2018. Consider the population of "last-minute" filers who mail...
-
Go to the Australian Taxation Office website at www.ato.gov.au and define each of the following: a. PAYG b.GST c.FBT d.STS e.BAS
-
Discuss potential investment opportunities for each of the following: a. An airline b. A tennis coaching clinic c. A café / Restaurant d. A fashion accessory company
-
Required Assuming that the tax is 30 per cent, calculate the EVA for each division?
-
The processes in the Carnot cycle are carried out in a/an (a) Reversible fashion (b) Irreversible fashion (c) Neither (a) nor (b) (d) Both (a) and (b).
-
For a gas whose \(P-V-T\) behaviour is given by \(Z=1+\frac{B P}{R T}\), where \(B\) is a constant, the fugacity coefficient is (a) \(\frac{B P}{R T}\) (b) \(\exp \frac{B P}{R T}\) (c) \(\ln \frac{B...
-
The substance which has a fixed chemical composition throughout is called a/an (a) Colloid (b) Inert substance (c) Pure substance (d) Ideal substance.
Study smarter with the SolutionInn App