A population P obeys the logistic model. It satisfies the equation dP 1 -P(5 – P) for P > 0. dt 500 (a) The population is increasing when (b) The population is decreasing when P > (c) Assume that P(0) = 2. Find P(69). P(69) =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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A population P obeys the logistic model. It satisfies the equation
dP
1
-P(5 – P) for P > 0.
dt
500
(a) The population is increasing when
(b) The population is decreasing when P >
(c) Assume that P(0) = 2. Find P(69).
P(69) =
<P <
Transcribed Image Text:A population P obeys the logistic model. It satisfies the equation dP 1 -P(5 – P) for P > 0. dt 500 (a) The population is increasing when (b) The population is decreasing when P > (c) Assume that P(0) = 2. Find P(69). P(69) = <P <
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