Population Growth Fifty elk are introduced into a game preserve. It is estimated that their population will increase according to the model , where t is measured in years. At what rate is the population increasing when After how many years is the population increasing most rapidly?
To calculate: The rate of increase in the population of the elks when and the time when the population is increasing at the highest rate.
The model that gives the population increase of elks at time t is:
For a function f that is twice differentiable on an open interval I, if for some c, then,
If the function f has relative minima at c if the function f has relative maxima at c.
Substitute 2 for t in the provided model to get rate of increase in the population of the elks when .
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