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+
1255+ Reviews
2848+ 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...
-
Sow Tire, Inc., has sales of $1,450,000 and cost of goods sold of $980,000. The firm had a beginning inventory of $97,000 and an ending inventory of $82,000. What is the length of the days sales in...
-
What are the grounds for seeking an attachment?
-
On December 31, 2007 Atwood Table Company has $8 million of short-term notes payable owed to City National Bank. On February 1, 2008 Atwood negotiates a revolving credit agreement providing for...
-
saving up some money and depositing $350 every month into account with 3.5% interest rate compounded monthly. a) How much money should I have saved up after 5 years? b) When I checked, my account had...
-
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)
-
Youre planning a semester in China, so you want to purchase a transformer to step the 220-V Chinese power down to 120 V to power your stereo. (a) If the transformers primary has 660 turns, how many...
-
When a crisis has a significant financial impact, how can you adapt your business/staffing model to reduce costs, both in the short and medium term?
-
Explain whether or not the rate on an overnight repurchase agreement can be higher than the rate on overnight federal funds.
-
Analyse the relationship between a country's Gini coefficient and its Lorenz curve.
-
The dean of a school of nursing (SON) and the associate deans of undergraduate and graduate programs have experienced increasing frustration with a lack of clinical placements for the students. The...
-
A country increases its indirect tax rate. Using a Lorenz curve diagram, explain how this may impact the country's distribution of income. (HL and SL)
-
A school-board administrator believes that the average number of days absent per year among students is less than 10 days. From past experience, he knows that the population standard deviation is 3...
-
A random sample of 10 houses heated with natural gas in a particular area, is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting...
-
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 __________.
-
Explain the history of IBM's OS/2, Unix, the introduction of Linux and the comparison of the Mac OS to both. Please be clear, coherent, and lengthy in the explanation of each OS. What is their...
-
Give some of the differences in how Windows OS, Mac OS, and Linux OS work, how do these differences translate into the methods and technology used to secure these systems? The subject is OS-Based...
-
Complete the common-size Balance Sheet for 2020 & 2019 and the Income Statement 2020, 2019 and 2018 (areas highlighted in yellow must be completed for each worksheet and will need either: 1) Excel...
Study smarter with the SolutionInn App