Explanation Given Information: The provided statement is “The terms begin at 5 , oscillate and are unbounded”. Formula used: The general form of difference equation is y n = a y n − 1 + b ( with initial value y 0 ) Where a , b and y 0 are constant numbers. When the graph is monotonic choose a > 0 and for oscillating a < 0 . Also, if the graph is unbounded choose | a | > 1 and if approaches a value then | a | < 1 . To find b , put b 1 − a equals to that value. Calculation: Consider the provided statement that is “The terms begin at 5 , oscillate and are unbounded”. Since, the terms begin at 5 . Suppose the beginning value as y 0 . Thus, y 0 = 5 . Since the graph is oscillating unbounded. Thus, a should be a < 0 and | a | > 1 . Now suppose a = − 2 as the graph is oscillating and also | a | > 1 . As, the graph is oscillating and are unbounded. Find b , so that b 1 − a equals to value. Since, the graph is oscillating unbounded. So, there is not any specific value of b which equals b 1 − a . Thus, b = 0 . Now, put the value of a = − 2 in the general form of difference equation y n = a y n − 1 + b . Therefore, y n = − 2 y n − 1 Where y 0 = 5 . Thus, to find the value of y 1 , y 2 , y 3 , y 4 and y 5 . Case 1. For y 1 , put n = 1 and y 0 = 5 in the equation y n = − 2 y n − 1 . y n = − 2 y n − 1 y 1 = − 2 y 0 = − 2 ( 5 ) = − 10 Thus, the value of y 1 = − 10 . Case 2. For y 2 , put n = 2 and y 1 = − 10 in the equation y n = − 2 y n − 1 . y n = − 2 y n − 1 y 2 = − 2 y 1 = − 2 ( − 10 ) = 20 Thus, the value of y 2 = 20 . Case 3. For y 3 , put n = 3 and y 2 = 20 in the equation y n = − 2 y n − 1

12th Edition

ISBN: 9780134464053

Author: HAIR

Publisher: YUZU

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 12.3, Problem 35E

To determine

To calculate: The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5, oscillate and are unbounded.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 12.3, Problem 34E

Chapter 12.3, Problem 36E

Students have asked these similar questions

The joint density function of two continuous random variables X and Y is: p(x, y) = {Kcos(x + y) Find (i) the constant K 0 0

p(x,y) = {e-x -(x+y) 0 x ≥ 0, y ≥ 0 otherwise find x,y,Exy, by Ох

2. Show that 8 xa S -dx (b² + 12) dr = 2 cos(π2) пра-1 a, b real and -1 0 Your solution should clearly explain the closed contour you are using, and state clearly any vanishing properties of integrals over contours that are being used. You are free to quote from the lectures, the appropriate results on such vanishing properties, without deriving these properties. Any residue calculations involved should be explained clearly.

Chapter 12 Solutions

EBK FINITE MATHEMATICS & ITS APPLICATIO

Ch. 12.1 - Consider the difference equation...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - For each of the difference equations in Exercises...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

Ch. 12.1 - Prob. 9E Ch. 12.1 - Prob. 10E Ch. 12.1 - Prob. 11E Ch. 12.1 - Prob. 12E Ch. 12.1 - Prob. 13E Ch. 12.1 - Prob. 14E Ch. 12.1 - Prob. 15E Ch. 12.1 - Prob. 16E Ch. 12.1 - Prob. 17E Ch. 12.1 - Prob. 18E Ch. 12.1 - Prob. 19E Ch. 12.1 - Population Decline Moldova has negative population...Ch. 12.1 - Prob. 21E Ch. 12.1 - Prob. 22E Ch. 12.1 - Prob. 23E Ch. 12.1 - Prob. 24E Ch. 12.1 - Prob. 25E Ch. 12.1 - Prob. 26E Ch. 12.1 - 27. Credit Card Mr. Jones owes $1000 on a credit...Ch. 12.1 - Prob. 28E Ch. 12.1 - Prob. 29E Ch. 12.1 - Prob. 30E Ch. 12.1 - Prob. 31E Ch. 12.1 - Prob. 32E Ch. 12.1 - Prob. 33E Ch. 12.1 - Prob. 34E Ch. 12.1 - Prob. 35E Ch. 12.2 - Prob. 1CYU Ch. 12.2 - Prob. 2CYU Ch. 12.2 - Prob. 1E Ch. 12.2 - Prob. 2E Ch. 12.2 - Prob. 3E Ch. 12.2 - Prob. 4E Ch. 12.2 - Prob. 5E Ch. 12.2 - Prob. 6E Ch. 12.2 - Prob. 7E Ch. 12.2 - Prob. 8E Ch. 12.2 - Prob. 9E Ch. 12.2 - Prob. 10E Ch. 12.2 - Prob. 11E Ch. 12.2 - Prob. 12E Ch. 12.2 - Prob. 13E Ch. 12.2 - Prob. 14E Ch. 12.2 - Prob. 15E Ch. 12.2 - Prob. 16E Ch. 12.2 - Prob. 17E Ch. 12.2 - Prob. 18E Ch. 12.2 - Prob. 19E Ch. 12.2 - Prob. 20E Ch. 12.2 - Prob. 21E Ch. 12.2 - Prob. 22E Ch. 12.2 - Prob. 23E Ch. 12.2 - Prob. 24E Ch. 12.2 - Prob. 25E Ch. 12.2 - Prob. 26E Ch. 12.2 - Prob. 27E Ch. 12.2 - Prob. 28E Ch. 12.3 - Parachuting A parachutist opens her parachute...Ch. 12.3 - Prob. 2CYU Ch. 12.3 - 3. Retirement Fund Upon retirement, a person...Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 2E Ch. 12.3 - Prob. 3E Ch. 12.3 - Prob. 4E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 6E Ch. 12.3 - Each of the graphs in Fig. 14 comes from a...Ch. 12.3 - Prob. 8E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 10E Ch. 12.3 - In Exercises 914, sketch a graph having the given...Ch. 12.3 - Prob. 12E Ch. 12.3 - Prob. 13E Ch. 12.3 - Prob. 14E Ch. 12.3 - Prob. 15E Ch. 12.3 - Prob. 16E Ch. 12.3 - Prob. 17E Ch. 12.3 - Prob. 18E Ch. 12.3 - Prob. 19E Ch. 12.3 - Prob. 20E Ch. 12.3 - Prob. 21E Ch. 12.3 - Prob. 22E Ch. 12.3 - Prob. 23E Ch. 12.3 - Prob. 24E Ch. 12.3 - Prob. 25E Ch. 12.3 - Prob. 26E Ch. 12.3 - Prob. 27E Ch. 12.3 - Prob. 28E Ch. 12.3 - Prob. 29E Ch. 12.3 - Prob. 30E Ch. 12.3 - Prob. 31E Ch. 12.3 - Prob. 32E Ch. 12.3 - In these exercises, find a difference equation...Ch. 12.3 - Prob. 34E Ch. 12.3 - Prob. 35E Ch. 12.3 - Prob. 36E Ch. 12.4 - Prob. 1CYU Ch. 12.4 - Prob. 2CYU Ch. 12.4 - Prob. 3CYU Ch. 12.4 - Prob. 1E Ch. 12.4 - Prob. 2E Ch. 12.4 - Prob. 3E Ch. 12.4 - Prob. 4E Ch. 12.4 - Prob. 5E Ch. 12.4 - 6. Find the monthly payment on a 25-year $38,000...Ch. 12.4 - Prob. 7E Ch. 12.4 - Prob. 8E Ch. 12.4 - Prob. 9E Ch. 12.4 - Prob. 10E Ch. 12.4 - Prob. 11E Ch. 12.4 - Prob. 12E Ch. 12.4 - Prob. 13E Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - In these exercises, use a table or graph of an...Ch. 12.4 - Prob. 16E Ch. 12.5 - Glucose Infusion Glucose is being given to a...Ch. 12.5 - Light at Ocean Depths Sunlight is absorbed by...Ch. 12.5 - 1. Population Dynamics In a certain country with...Ch. 12.5 - Population Dynamics A small city with current...Ch. 12.5 - 3. Drug Absorption After a certain drug is...Ch. 12.5 - Elevation and Atmospheric Pressure The atmospheric...Ch. 12.5 - Spread of Information A sociological study was...Ch. 12.5 - Solution Concentration A cell is put into a fluid...Ch. 12.5 - Learning Curve Psychologists have found that in...Ch. 12.5 - Genetics Consider two genes A and a in a...Ch. 12.5 - Account Balance Thirty thousand dollars is...Ch. 12.5 - 10. Account Balance Rework Exercise 9, where...Ch. 12.5 - Prob. 11E Ch. 12.5 - Prob. 12E Ch. 12.5 - Prob. 13E Ch. 12.5 - Prob. 14E Ch. 12.5 - Prob. 15E Ch. 12.5 - Prob. 16E Ch. 12.5 - Prob. 17E Ch. 12.5 - Prob. 18E Ch. 12.5 - In these exercises, answer the questions by...Ch. 12.5 - Prob. 20E Ch. 12 - Explain how a sequence of numbers is generated by...Ch. 12 - Prob. 2FCCE Ch. 12 - Prob. 3FCCE Ch. 12 - Prob. 4FCCE Ch. 12 - Prob. 5FCCE Ch. 12 - Prob. 6FCCE Ch. 12 - Prob. 7FCCE Ch. 12 - Prob. 8FCCE Ch. 12 - Prob. 9FCCE Ch. 12 - Prob. 10FCCE Ch. 12 - Prob. 1RE Ch. 12 - Prob. 2RE Ch. 12 - 3. Account Balance How much money would you have...Ch. 12 - Prob. 4RE Ch. 12 - Prob. 5RE Ch. 12 - Prob. 6RE Ch. 12 - Population Dynamics The population of a certain...Ch. 12 - 8. Mortgage The monthly payment on a 30-year...Ch. 12 - Prob. 9RE Ch. 12 - Prob. 10RE Ch. 12 - Prob. 11RE Ch. 12 - Prob. 12RE Ch. 12 - Prob. 13RE Ch. 12 - Prob. 14RE Ch. 12 - Prob. 1P Ch. 12 - Prob. 2P Ch. 12 - Prob. 3P Ch. 12 - Prob. 4P Ch. 12 - Prob. 5P Ch. 12 - Prob. 6P Ch. 12 - Prob. 7P Ch. 12 - Prob. 8P Ch. 12 - Prob. 9P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5 , oscillate and are unbounded.

Solution Summary: The author calculates the difference equation by graphing it when the terms begin at 5, oscillate and are unbounded.

Concept explainers

Videos

To calculate: The difference equation and confirm the answer by graphing the difference equation when the terms begin at 5, oscillate and are unbounded.

Want to see the full answer?

Chapter 12 Solutions