Consider the general logistic function P(t) = M/1 + Ae kt , with A, M, and k
Question:
Consider the general logistic function P(t) = M/1 + Ae−kt , with A, M, and k all positive. Show that
Transcribed Image Text:
Make-kt MAK-et (Ae-kt - 1) and P' (t) = (1 + Ae-kt)2 (1 + Ae-kt)3 (b) lim P(t) = 0 and lim P(t) = M, and therefore P = 0 and P = M are horizontal asymptotes of P. 1-→-00 1-00 (c) P is increasing for all t. (d) The only inflection point of P is at (4). To the left of it, P is concave up, and to the right of down. (a) P' (t) = P is concave
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
a Then and Let Pt Pt and It then follows that M 1 Aekt ...View the full answer
Answered By
Jacob Festus
I am a professional Statistician and Project Research writer. I am looking forward to getting mostly statistical work including data management that is analysis, data entry using all the statistical software’s such as R Gui, R Studio, SPSS, STATA, and excel. I also have excellent knowledge of research and essay writing. I have previously worked in other Freelancing sites such as Uvocorp, Essay shark, Bluecorp and finally, decided to join the solution inn team to continue with my explicit work of helping dear clients and students achieve their Academic dreams. I deliver, quality and exceptional projects on time and capable of working under high pressure.
4.90+
1250+ Reviews
2838+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Write a literature review for your study. See below for an example of a literature review. Your literature review should provide both analysis and synthesis of previous studies as related to the...
-
Mike Corporation has 100,000 units in beginning inventory and expects to sell 600,000 units over the year. Mike wants to have 150,000 units at the end of the year to be ready for the additional sales...
-
Discuss the concept of the Process Spectrum. Use examples where appropriate.
-
HighGrowth Company has a stock price of $20. The firm will pay a dividend next year of $1, and its dividend is expected to grow at a rate of 4% per year thereafter. What is your estimate of...
-
The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. During that time, Karen sought to...
-
An effective way to learn how companies respond to the competing pressures to be globally integrated and locally responsive is to study them in action. Referring back to Exhibit 6.3, search online...
-
Premiums Presented below are three independent situations. 1. Mar-quart Stamp Company records stamp service revenue and provides for the cost of redemptions in the year stamps are sold to licensees....
-
Work with Data Manipulation Language (DML) using MySQL. You will create the database, multiple tables, insert data and retrieve information based on the questions given below. 1. Show all the...
-
Use Theorem 2 to calculate g'(x), where g is the inverse of . (x) = 3 x THEOREM 2 Derivative of the Inverse Assume that f is differentiable and one-to- one with inverse g(x) = f(x). If b belongs to...
-
Refer to the appropriate triangle or trigonometric identity to compute the given value. cot (tan 1 20)
-
Express the given angle measurements in terms of . 408,202.5
-
Suppose a British investor is expected to receive paymentof 10,000 dollars ($) in twelve months from a U.S. bank. The annual interest rate in dollar deposit is 5% and the annual interest rate in...
-
what ways do advanced delegation strategies incorporate principles of accountability, transparency, and ethical decision-making to uphold integrity and fairness within organizations ?
-
How does the integration of cognitive appraisal theory contribute to our understanding of motivation, particularly concerning how individuals assess and interpret their environments to regulate...
-
How do the principles of equity theory and social comparison processes influence motivational outcomes, particularly in settings characterized by interpersonal competition and resource allocation ?
-
Suppose every one of us is an average person. If you were to start a business tomorrow, which market structure will your business be falling under most likely? Should profit maximization be your...
-
The balances for the accounts listed below appear in the Adjusted Trial Balance columns of the end-of-period spreadsheet (worksheet). Indicate whether each balance should be extended to a) an Income...
-
Draw two scatterplots, one for which r = 1 and a second for which r = 21.
-
The slope of a vertical line is__________ ; the slope of a horizontal line is _________ .
-
The points, if any, at which a graph crosses or touches the coordinate axes are called ____________.
-
A horizontal line is given by an equation of the form _________, where b is the __________.
-
5. Consider the following game in which Nature (N) chooses the Player 1's. type as Tough (T) with probability p and Weak (W) with probability 1 - - p. Player 1 observes his type and chooses Fight (F)...
-
Using the following information to respond to the questions below. The corporation tax rate is 21%. Book income $100,000 $ 2.500 Excess tax depreciation over book depreciation $ 4,000 M&E...
-
What ethical dilemmas arise in the context of change management, particularly concerning issues of transparency, fairness, and accountability, and how can these be addressed to uphold ethical...
Study smarter with the SolutionInn App