In the logistic model, N = K is aequilibrium when r= 1.a. quasi-stableO b. stableO C.N = K is not an equilibriumO d. unstable

We have given that In logistics model N=K is a state of equilibrium when r=1

Answered: In the logistic model, N = K is a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Select all the lines that are needed to find the inverse of y = log3 (x + 1) – 2 in the appropriate order. %3D Step 1) Step 2) Step 3) Step 4) Step 5) ori :: 37+2 = y+1 : y + 2 = log3 (x + 1) :: log; (y + 1) – 2 = x 3u+2 : 37+2 – 1= y - 1 %3D log, (y + 1) – 2 : 34+2 = x + 1 = 37-1 : log3 (y + 1) = x + 2 2 : 34+2 1= r-1 :: 3"-1 = y – 2 : y-l = 37+2 1 : log3 (y + 2) –1= x
The growth of a population of rare beetles is given by the logistic function with k 000001 and t in months. Assume that there are 200 beetles initially and that the maximum population size is 10,000. a. Find the growth function G(t) for these beetles. Find the population and rate of growth of the population after the following times, C. 4 years e. What happens to the rate of growth over time? b. 7 months d. 6 years a. G() =] (Type an exact answer in terms of e.) b. The population of beetles after 7 months is (Round to three decimal places as needed.) After 7 months, the rate of growth of the population is (Round to three decimal places as needed) beetles per month. C. The population of beetles after 4 years is (Round to three decimal places as needed) beetles. beetles per month. After 4 years, the rate of growth of the population is (Round to three decimal places as needed ) d. The population of beetles after 6 years is (Round to three decimal places as needed ) beetles.
A new town was incorporated in 1960. The size of the town's population was recorded every 5 years after 1960. Using the variables x, for number of years since 1960, and y, for the size of the population, three models were created to predict the population from the number of years since 1960.
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drug accumulátión in the Lexapro is an antidepressant that affects the levels of certain chemicals in the brain that may be altered " people surfering from depression or anxiety. A typical starting dose is 10 mg taken once daily. After the medication has been fully metabolized, it is eliminated continuously from the body at a rate of 2.3% per hour. Steady-state concentrations are achieved within 7-10 days of administration. Source: https://pubmed.ncbi.nlm.nih.gov approximately 1. A patient with takes their first dose of Lexapro. Use the exponential model P(t) = Poe-ktto show how much Lexapro is left one day (or 24 hours) later. Show your work. PCt) = 10e -0.023+ P(24)=10e-0.023(24 (5.76ma 2. This patient takes a second dose of Lexapro 24 hours after the first dose. With the amount remaining from the previous dose (see question #1), how much will they mow have in their bloodstream? Show your work. 5.76mg +10mg I DAY bw のL'SI g) 3. How much of this amount is left 24 hours after taking…
Let qty denote quantity demanded, price denote price, and suppose we estimate the model log(qty) = ß1 + B2 log(price)+ e where E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we find E- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating a = B1 + 10B2 and for this end we use the estimator å1 = b1 + 10b2. What is your estimate for the variance of A? (Usually denoted by Var (Â)) O a. We do not have enough information to compute Var (Â). O b. All the other options are incorrect. О с. 10 O d. 11 Ое. 1 O f. 2
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In the logistic model, N = K is a equilibrium when r = 1. a. quasi-stable O b. stable O c. N = K is not an equilibrium С. O d. unstable