Consider an alligator's population P(t) (t in years) satisfying the following logistic equation: dP = 0.5P(180 – P), P(0) = 85. dt Answer True or False to the following statement: The alligator population reaches 190 individuals in some moment in the future. O True False

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 56SE: Recall that the general form of a logistic equation for a population is given by P(t)=c1+aebt , such...
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Consider an alligator's population P(t) (t in years) satisfying the following logistic equation:
dP
= 0.5P(180 – P), P(0) = 85.
dt
Answer True or False to the following statement: The alligator population reaches 190 individuals in some moment in
the future.
O True
False
Transcribed Image Text:Consider an alligator's population P(t) (t in years) satisfying the following logistic equation: dP = 0.5P(180 – P), P(0) = 85. dt Answer True or False to the following statement: The alligator population reaches 190 individuals in some moment in the future. O True False
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