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The logistic growth function f(t)=480/1+7.0e^-0.11t describes the population of a species of butterflies months after they are introduced to non-threatening habitat. what is the limiting size of the butterfly population that the habitat will sustain
A) 480 Butterflies
B) 960 butterflies
C)60 butterflies
 Mar 20, 2014
 #1
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The logistic growth function f(t)=480/1+7.0e^-0.11t describes the population of a species of butterflies months after they are introduced to non-threatening habitat. what is the limiting size of the butterfly population that the habitat will sustain



I think you mean

f(t) = 480/(1+7e -0.11t)

To find the limiting size just let t go to infinity

lim{t -> infinity, f(t)} = 480(1 + 0) = 480
 Mar 20, 2014
 #2
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Thank you
 Mar 20, 2014

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