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)
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)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Question
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bb53621-062a-413c-afbc-2cb22e267b54%2F2e5bcd77-ac7c-432f-b824-cff1e8839f3f%2F65i1tt_processed.jpeg&w=3840&q=75)
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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