Write the Word or Phrase That Best Completes Each Statement $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$

question 115

Short Answer

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-Wildlife management personnel use predator-prey equations to model the populations of certain predators and
their prey in the wild. Suppose the population M of a predator after t months is given by $$M = 750 + 125 \sin \frac { \pi } { 6 } t$$ while the population N of its primary prey is given by $$N = 12,250 + 3050 \cos \frac { \pi } { 6 } t$$ Find the period for each of these functions.

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Definitions:

Serve First

A principle focusing on prioritizing service to others as a fundamental approach in leadership or business practices.

Lead Second

Assuming a leadership or influential position after serving in a supporting or subordinate role; often involves supporting a primary leader before taking a lead role.

Metabolic Rate

The speed at which the body consumes energy to maintain basic life functions, such as breathing and circulation.

Dietary Restriction

Limitations on the amount and type of food ingested for reasons such as health, religious beliefs, or ethical choices.