4. Consider the population model dP dr -0.3 (1-2) (0-1) P. dt 50 where P (t) is the population at time t. (a) For what values of P is the population in equilibrium? (b) For what values of P is the population increasing? (c) For what values of P is the population decreasing?

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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4. Consider the population model
dP
dt
- 03(1-2) (0-1) P.
50
where P (t) is the population at time t.
(a) For what values of P is the population in equilibrium?
(b) For what values of P is the population increasing?
(c) For what values of P is the population decreasing?
Transcribed Image Text:4. Consider the population model dP dt - 03(1-2) (0-1) P. 50 where P (t) is the population at time t. (a) For what values of P is the population in equilibrium? (b) For what values of P is the population increasing? (c) For what values of P is the population decreasing?
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