essential questions

2007-02-02 12:51 am

1. What is a logistic growth?

2. Give real life applications of Logistic Growth, (We sometimes call Logistic Growth the curve of Learning).

3. Plot the graph of its general equation y = a/(1+b·e^-kx) and

o What is the y intercept ? Any x intercepts?

o Any Horizontal asymptotes?

o Note (for any logistic applications the domain is x > or = 0).

更新1:

Give 2 more real life applications of Logistic Growth plz

回答 (1)

myisland8132

2007-02-02 1:17 am

✔ 最佳答案

1
A logistic growth is one type of growth.The initial stage of growth is approximately exponential; then, as competition arises, the growth slows, and at maturity, growth stops.
2
The growth of population in one city or country
3

圖片參考：http://web.pdx.edu/~rueterj/courses/casestudies/fisheries/casestudy3-fig1a.gif

let x=0, the y intercept is a/b
let y=0
0= a/(1+b·e^-kx)
no x satisfy, so no x intercepts
yes, there has Horizontal asymptotes
when x tends to infinity
e^-kx tends to 0
y=a
and this is the Horizontal asymptotes.

2007-02-02 00:55:57 補充：
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