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A certain population is known to be growing at a rate given by the logistic equation = x(b – ax). Show that the maximum rate of growth will occur when the population is dx dt b equal to half its equilibrium size, that is, when the population is . 2a

A certain population is known to be growing at a rate given by the logistic equation = x(b – ax). Show that the maximum rate of growth will occur when the population is dx dt b equal to half its equilibrium size, that is, when the population is . 2a

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...
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A certain population is known to be growing at a rate given by the logistic equation dx x(b – ax). Show that the maximum rate of growth will occur when the population is dt b equal to half its equilibrium size, that is, when the population is 2a -
Transcribed Image Text:A certain population is known to be growing at a rate given by the logistic equation dx x(b – ax). Show that the maximum rate of growth will occur when the population is dt b equal to half its equilibrium size, that is, when the population is 2a -
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