Population equilibria can be stable or unstable. If, when a population deviates a bit from the equilibrium value (as populations inevitably do), it tends to return to it, this is a stable equilibrium; if, however, when the population deviatesfrom the equilibrium it tends to diverge from it even further, this is an unstable equilibrium.Think of a ball in the pocket of a snooker table versus a ball balanced on a snooker cue. Unstable equilibria are a feature of Allee effect models such as the following.dNUse a phase portrait of the autonomous equation above to determine whether the nonzero equilibria that you found in question (2) are stable or unstable. (Hint: See Section 2.1 of the text. List the equilibria according to their stability.Enter your answers as comma-separated lists. If there are no equilibria in a certain category, enter NONE.)stableN =unstableN =

Answered: Image /qna-images/answer/d92f6424-af47-4a63-899c-355122434656.jpg

Answered: opulation equilibria can be stable or…

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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[Simple Linear Regression] How do you solve this?
F 31
Statistics: In a regression linear equation for one predictor and a dependent variable, in which of the following scenarios will the a weight always be 0? a. When the means of both variables are the same. b. When the SDs of both variables are 0. c. When the variables are in Z score form. d. None of the above
How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 60 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, ? ≈ 22°C. (a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.) lower limit °C upper limit °C (b) If the average temperature in the crown of the balloon goes above the high end of your confidence interval, do you expect that the balloon…
Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Cars Revenue Company (1,000s)| ($ millions) Company A 11.5 120 Company B 10.0 137 Company C 9.0 102 Company D 5.5 37 Company E 4.2 38 Company F 3.3 34 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160 160 1601 160- 140 140 140 120- 140 120- 120 120- 100- 100 100- 100- 80 80 80- 80 60 60 60 60 40 .. ... 40 ... 40 40 .. 20 20- 20- 20 2 4 6 8 10 12 14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) (b) What does the scatter diagram developed in part (a) indicate about the…
Blank Filling Question. No work is required or graded. The amount of water used by the production facilities of a plant varies. Observations on water usage and other, possibly related, variables were collected for 17 months. The following model is fitted: USAGE = Bo + Bi TEMP + B2 PROD+ B3 DAYS+ B4 PAYR + Bs HOUR + E where the response variable is USAGE = monthly water usage (gallons/100) and the explanatory variables are TEMP average monthly temperature (°F) amount of production number of operating days in the month number of people on the monthly plant payroll PROD %3D DAYS = PAYR HOUR number of hours shut down for maintenance %3D Below is the selected SAS output with edit. Dependent Variable:JSAGE monthly water usage (gallons/100) Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr>F Model Error 113.54388 Corrected Total 319.50011 esc 20 000 000 F4 * FS F1 F2 F3 F7 @ $ % & * 3 4 5 6 7 9 Q W E R Y U A S F G K
Example 9. The following table gives the age of car of a certain make and annual maintenance costs. Obtain the regression equations for cost related to age. Estimate maintenance cost of a car whose age is 10 yrs. Age of cars (x) in yrs) Maintenance Cost (in hundred of y) 2 10 4 20 6 25 8 30
How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 60 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 13°C.
How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 54 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 21°C. (a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.)
Question 39/50 Sharon made a scatterplot comparing the shoulder heights of dogs to their weights. 39 120 110- A 100- 90 80- 70- 60- 50- 40- 30- 20- 10- 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Height (inches) Sharon's dog has a shoulder height of 28 inches. Using a linear model, which is the best prediction of her dog's weight? A 85 pounds B 90 pounds C105 pounds D 120 pounds Weight (pounds)
How hot is the air in the top (crown) of a hot air balloon? Information from Ballooning: The Complete Guide to Riding the Winds, by Wirth and Young (Random House), claims that the air in the crown should be an average of 100°C for a balloon to be in a state of equilibrium. However, the temperature does not need to be exactly 100°C. What is a reasonable and safe range of temperatures? This range may vary with the size and (decorative) shape of the balloon. All balloons have a temperature gauge in the crown. Suppose that 56 readings (for a balloon in equilibrium) gave a mean temperature of x = 97°C. For this balloon, σ ≈ 21°C. (a) Compute a 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium. (Round your answers to one decimal place.) lower limit °C upper limit °C (b) If the average temperature in the crown of the balloon goes above the high end of your confidence interval, do you expect that the balloon will go up or down?…
Suppose you estimate a regression equation Income = α + β1Experience + β2Business + β3Gender + β4Private + β5Experience*Gender + ε Income - annual income is in thousands of dollars (1 unit of income = $1000);Experience is in years;Business is a dummy variable set to 1 if person has a business degree, 0 otherwise;Gender is a dummy variable set to 1 for females, 0 for males;Private is a dummy variable set to 1 if a person attended private college, 0 otherwise; The data are on individuals who graduated from college within last 10 years. 1.) A. Use information from Question 1 . What is the average income of males with non-business degree, who went to public college, and who have 3 years of experience? (to 3 decimal points) B. Use information from Question 1 What is the average income of females with non-business degree, who went to public college, and who have 6 years of experience? (to 3 decimal points) C. Use information from Question 1. Which of the following statements is a correct…

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