7. Logistic growth A population is modeled by the differ- ential equation dN dt 1.2N (1 – - N 4200 where N(t) is the number of individuals at time t (measured in days). (a) For what values of N is the population increasing? (b) For what values of N is the population decreasing? (c) What are the equilibrium solutions?
7. Logistic growth A population is modeled by the differ- ential equation dN dt 1.2N (1 – - N 4200 where N(t) is the number of individuals at time t (measured in days). (a) For what values of N is the population increasing? (b) For what values of N is the population decreasing? (c) What are the equilibrium solutions?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:7. Logistic growth A population is modeled by the differ-
ential equation
dN
dt
= 1.2N (1
N
4200
where N(t) is the number of individuals at time t (measured
in days).
(a) For what values of N is the population increasing?
(b) For what values of N is the population decreasing?
(c) What are the equilibrium solutions?
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