A population P obeys the logistic model. It satisfies the equation dP 7 Р(11 — Р) for Р >0. 1100 dt (a) The population is increasing when < P < (b) The population is decreasing when P > = 4. Find P(54). (c) Assume that P(0) Р(54)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
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A population P obeys the logistic model. It
satisfies the equation
dP
7
-Р(11 — Р) forP > 0.
1100
dt
(a) The population is increasing when
< P <
(b) The population is decreasing when P >
4. Find P(54).
(c) Assume that P(0)
P(54)
Transcribed Image Text:A population P obeys the logistic model. It satisfies the equation dP 7 -Р(11 — Р) forP > 0. 1100 dt (a) The population is increasing when < P < (b) The population is decreasing when P > 4. Find P(54). (c) Assume that P(0) P(54)
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