A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are 200 panthers in the preserve. The Florida preserve has a carrying capacity of 560 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = (b) Find the population after 5 years. (Round your answer to the nearest whole number.) panthers (c) When will the population reach 280? (Round your answer to two decimal places.) yr (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 35 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) dP dt P(5) x (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr A conservation organization releases 35 Florida panthers into a game preserve. After 2 years, there are 200 panthers in the preserve. The Florida preserve has a carrying capacity of 560 panthers. (a) Write a logistic equation that models the population of panthers in the preserve. (Round your k to four decimal places. Use t for the time in years.) P = (b) Find the population after 5 years. (Round your answer to the nearest whole number.) panthers (c) When will the population reach 280? (Round your answer to two decimal places.) yr (d) Write a logistic differential equation that models the growth rate of the panther population. Then using Euler's Method, repeat part (b) with a step size of h = 1. Use the initial release population of 35 panthers as your initial value to start Euler's Method. (Round your answer to the nearest whole number.) dP dt P(5) x (e) At what time is the panther population growing most rapidly? (Round your answer to two decimal places.) yr
Expert Answer:
Answer rating: 100% (QA)
1 The general solution for the lo gistic dibberential equation is L y t 3D kt 1 b Since the fl... View the full answer
Posted Date:
Students also viewed these accounting questions
-
There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. a. Are the...
-
Use Euler 's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y' = y + xy, y(0) = 1.
-
In problems, solve the logistic differential equation representing population growth with the given initial condition. Then use the solution to predict the population size at time t = 3. y' = y(1-y),...
-
You are the manager of a local coffee shop. There are two types of customers in your market, coffee addicts, and casual drinkers. Because coffee addicts buy large amounts of coffee, they are more...
-
Keystone Manufacturing, Inc., is analyzing a new bid to supply the company with electronic control systems. Alpha Corporation has been supplying the systems and Keystone is satisfied with its...
-
What happens to the gravitational potential energy when water at the top of a waterfall falls to the pool below?
-
Consider a publicly-held company whose products you are familiar with. Some examples might include: Access the companys public website and search for its most recent annual report. (Some companies...
-
Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. The following data list the...
-
moat are basically? exit barriers, both entry and exit barrier, entry barrier
-
A highly viscous liquid discharges from a large container through a small-diameter tube in laminar flow. Disregarding entrance effects and velocity heads, obtain a relation for the variation of fluid...
-
It is known from past experience that for students who studied AMA1110 for at least 100 hours, their chance of passing the exam is 0.95, while for those who studied AMA1110 for less than 100 hours,...
-
Describe and explain personal pensions.
-
What are (a) NIM, (b) NII?
-
The company you work for needs to raise financing for a big expansion. Describe some of the markets it could make use of to raise finance.
-
What are collective funds?
-
How is a banks income statement split?
-
Lorenz Curve In a study conducted by a certain country's Economic Development Board, it was found that the Lorentz curve for the distribution of income of stockbrokers was described by the function...
-
(a) What do data breach notification laws require? (b) Why has this caused companies to think more about security?
-
Suppose that we wish to compute the inverse and log-determinant of the matrix \[ \mathbf{I}_{n}+\mathbf{U} \mathbf{U}^{\top} \] where \(\mathrm{U}\) is an \(n \times h\) matrix with \(h \ll n\). Show...
-
Suppose that in the stochastic gradient descent method we wish to repeatedly draw minibatches of size \(N\) from \(\tau_{n}\) where we assume that \(N \times m=n\) for some large integer...
-
Denote the pdf of the \(\mathscr{N}(\mathbf{0}, \boldsymbol{\Sigma})\) distribution by \(\varphi \Sigma(\cdot)\), and let \[ \mathscr{D}\left(\boldsymbol{\mu}_{0} \boldsymbol{\Sigma}_{0} \mid...
Study smarter with the SolutionInn App