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 $$ a(t)=\frac{5600}{0.5+27.5 e^{-0.044 t}} $$ where $t$ is measured in years. (a) Find the initial bird population. (b) Draw a graph of the function $n(t)$ (c) What size does the population approach as time goes on?
Added by Jesse T.
Step 1
So, we substitute t=0 into the function to get: a(0) = 5600/(0.5 + 27.5e^0) = 5600/(0.5 + 27.5) = 200 birds. Show more…
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