Suppose that a population develops according to the logistic equation dP = 0.2P – 0.0005 P² dt | where t is measured in weeks. (a) What is the carrying capacity? 200 (b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Suppose that a population develops according to the logistic equation
dP
= 0.2P – 0.0005P?
dt
where t is measured in weeks.
(a) What is the carrying capacity? 200
...
(b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing
(c) Is the solution increasing or decreasing when P is greater than the carrying capacity? decreasing
Transcribed Image Text:Suppose that a population develops according to the logistic equation dP = 0.2P – 0.0005P? dt where t is measured in weeks. (a) What is the carrying capacity? 200 ... (b) Is the solution increasing or decreasing when P is between 0 and the carrying capacity? increasing (c) Is the solution increasing or decreasing when P is greater than the carrying capacity? decreasing
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