Question

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

n(t) =

2,500 |

0.5 + 24.5e^{−0.044t} |

where *t* is measured in years.

(a) Find the initial bird population.

(b) Draw a graph of the function *n*(*t*).

Step 1

Given:

‘t’ is measured in the year.

Here, the equation of the logistic growth model:

Step 2

Part (a)

Finding the initial population of bird:

Here, t = 0

Step 3

Part (b)

The graph of the funct...

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