e) Using the fourth order Runge-Kutta Method, with a step-size of h =1%3Dto approximate12)y(p) if y(0) = 40, yields:12ko1ko2kозko4and thusy(1/12) = (1/12) ~ Y1 =|| Round all answers in Part e)_to two decimal places.Suppose that the DEdy= y(70 – y) – 600dtmodels a logistic equation with harvesting, where y (t) represents a tilapia population in alake at time t, measured in years.

Answered: Image /qna-images/answer/f7894673-3993-4067-b5ec-3e534860c3a6.jpg

Answered: Round all answers in Part e)_to two…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 64RE: What is the carrying capacity for a population modeled by the logistic equation...

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Similar questions

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time moved on. Table 4 shows the number of games sold, in thousands, from the years 20002010. a. Let x represent time in years starting with x=1 for the year 2000. Let y represent the number of games sold in thousands. Use logarithmic regression to fit a model to these data. b. If games continue to sell at this rate, how many games will sell in 2015? Round to the nearest thousand.
Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?
What is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?
What is the carrying capacity for a population modeled by the logistic equation P(t)=250,0001+499e0.45t ? initial population for the model?
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
What is the y -intercept on the graph of the logistic model given in the previous exercise?
Use a graphing utility to find an exponential regression formula f(x) and a logarithmic regression formula g(x) for the points (1.5,1.5) and (8.5,8.5). Round all numbers to 6 decimal places. Graph the points and both formulas along with the line y=x on the same axis. Make a conjecture about the relationship of the regression formulas.
What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.

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Round all answers in Part e)_to two decimal places. Suppose that the DE dy = y(70 – y) – 600 dt models a logistic equation with harvesting, where y (t) represents a tilapia population in a lake at time t, measured in years.