# 3 In WS 11, you derived a model for the deer population that incorporated births, deaths, andimmigration. The model is given byPn+1 = current population - deaths of adults + surviving offspring + immigrating deer= Pn -0.05pn +0.15pm + 100 = 1.1pm + 100a) Write the explicit solution to this DDS.Pn=b) Suppose there are 200 deer in this forest in the year 2020. Calculate the size of the deer populationin the year 2023, using both the recursive and the explicit forms. What does n = 0 represent?c) What happens to this population in the long run? Is there a stable equilibrium that the populationconverges to?

3) (a) Given the discrete dynamical system for the deer population as pn+1=1.1pn+100. The general…

Answered: In WS 11, you derived a model for the…

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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7. The number of hate crime convictions was 30 convictions in 2006 and has declined by about 4 convictions each year since then. Let n be the number of hate crimes in the year that is t years since 2006. a) Find an equation that uses t as the independent variable and n as the dependent variable. b) Sketch a graph of the equation that goes to from 2006 to 2013. Make a table that shows at least 2 solutions to the equation. c) Use your model to predict the number hate crimes in: d) What is the n-intercept of the model? e) Interpret the n-intercept of the model in terms of the application. 8. Apples in a particular European market cost 4.50 euros per kg. What is the price in dollars per pound? (Use $1.256 = 1 euro to match the solution video.)
A research study in a big metropolitan area shows that 2% of individuals living within the city limits move to suburbs during one-year period while 1% of individuals living in the suburbs move to the city during a one-year period. Define the approach that should be used to solve the problem and identify all your inputs of the model.
If the Black Death caused 50 million deaths over 3 years with a 60% population decrease from 80 million to 30 million how do I show the linear progression of the disease from the start of the outbreak in Europe to the 3rd year?
Researchers have created every possible "knockout" line in yeast. Each line has exactly one gene deleted and all the other genes present (Steinmetz et al. 2002). The growth rate—how fast the number of cells increases per hour—of each of these yeast lines has also been measured, expressed as a multiple of the growth rate of the wild type that has all the genes present. In other words, a growth rate greater than 11 means that a given knockout line grows faster than the wild type, whereas a growth rate less than 11 means it grows more slowly. The growth rate of a random sample of knockout lines is 0.86, 1.02, 1.02, 1.01, 1.02, 1, 0.99, 1.01, 0.91, 0.83, 1.01 What is the standard deviation and variance of growth rate for this sample?
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Suppose we obtain data on prices of big-screen televisions and estimate the following model: In(Price) = 4.06 + 0.06 * Size +0.23 * Wide + 0.34 * Plasma + 0.21 * LCD+0.09 * Memory where the dependent variable has been transformed, Size is the screen size measured in inches, Wide is a dummy variable equal to one if the television is a widescreen, Plasma is a dummy variable equal to one if the television is a Plasma screen, LCD is equal to one if the television is an LCD screen, and Memory is a dummy variable equal to one if the television has any memory card slots. What is the estimated price of a 42" Widescreen Plasma television with 2 memory card slots? Select one: O a. 7.24 O b. 7.33 1525.38 O d. 1394.09 • e 1881.83 Clear my choice
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7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
(1 point) Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 14 specimens of a particular species, 5 resprouted after fire. Estimate with 96% confidence the proportion of all shrubs of this species that will resprout after fire. Interval: to
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