A 28. Bird Population The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model 5600 n(1) 0.5 + 27.5e -0.044. where t is measured in years. (a) Find the initial bird population. (b) Draw a graph of the function n(1). (c) What size does the population approach as time goes on?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 28E: Bird Population The population of a certain species of bird is limited by the type of habitat...
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. Bird Population The population of a certain species of
bird is limited by the type of habitat required for nesting.
The population behaves according to the logistic growth
model

A 28. Bird Population The population of a certain species of
bird is limited by the type of habitat required for nesting.
The population behaves according to the logistic growth
model
5600
n(1)
0.5 + 27.5e
-0.044.
where t is measured in years.
(a) Find the initial bird population.
(b) Draw a graph of the function n(1).
(c) What size does the population approach as time
goes on?
Transcribed Image Text:A 28. Bird Population The population of a certain species of bird is limited by the type of habitat required for nesting. The population behaves according to the logistic growth model 5600 n(1) 0.5 + 27.5e -0.044. where t is measured in years. (a) Find the initial bird population. (b) Draw a graph of the function n(1). (c) What size does the population approach as time goes on?
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