home > q&a board > calculus > topic: logistics

Q BgQuestion:

Rookie
Karma Points: 0
Respect (100%):
posted by  MAHJ on 11/21/2008 5:00:07 PM  |  status: Live  

logistics

Course Textbook Chapter Problem
Calculus Calculus single variable, 4th edition, Hughes-Hallett 4 review 59
Question Details:
A Population, P, is in a restricted environment may grow with time, t, according to the logistic function

P=L/1= Ce^-kt

where L is called the carrying capacity and L, C and k are positive constants.

(a) find P. Explain why L is called the carrying capacity.
(b) show that the graph of P has an inflection point at P=L/2

AAnswers:

Answer Question
Oracle
Karma Points: 200,582
(Universidad Autónoma de Nuevo León)
posted by Dr. House on 11/21/2008 7:24:50 PM  |  status: Live
Asker's Rating: Lifesaver   
MAHJ's comment:
"Thank you so much, your work is quiet appreciated!"
Response Details:

 
=
=L
 
The supportable population of an organism, given the food, habitat, water and other necessities available within an environment is known as the environment's carrying capacity for that organism
 
p'(t)==
p'(t)=
 p'(t) =
p'(t) =
p'(t)=
 
p''(t)=
p''(t)=
Infelction  p''(t) =0
=0
=0
 
thus p''(t) =0 when 1-Ce-kt=0  and there is an inflection point at t = -ln(1/C) /k
 
 
P(t) =
P(-ln(1/C)/k) =
 
 
P(-ln(1/C)/k) =
 
P(-ln(1/C)/k) =
P(-ln(1/C)/k) = L /2
 
Answer Question
Ask New Question

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »

Need Help In

Useful Links