A population P obeys the logistic model. It satisfies the equation dP 2 P(13 – P) for P > 0. 1300 dt (a) The population is increasing when < P< (b) The population is decreasing when P > (c) Assume that P(0) = 4. Find P(72). P(72) =O

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 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...
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A population P obeys the logistic model. It satisfies the equation
dP
2
-Р(13 — Р) for P > 0.
1300
dt
(a) The population is increasing when
<P<
(b) The population is decreasing when P >
(c) Assume that P(0) = 4. Find P(72).
P(72) = _
Transcribed Image Text:A population P obeys the logistic model. It satisfies the equation dP 2 -Р(13 — Р) for P > 0. 1300 dt (a) The population is increasing when <P< (b) The population is decreasing when P > (c) Assume that P(0) = 4. Find P(72). P(72) = _
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