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Write the Word or Phrase That Best Completes Each Statement M=750+125sinπ6tM = 750 + 125 \sin \frac { \pi } { 6 } t

Question 119

Essay

Write the word or phrase that best completes each statement or answers the question.
-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+125sinπ6tM = 750 + 125 \sin \frac { \pi } { 6 } t while the population N of its primary prey is given by N=12,250+3050cosπ6tN = 12,250 + 3050 \cos \frac { \pi } { 6 } t Find the values of t,0t<12t , 0 \leq t < 12 , for which the predator population is 875 . Find the values of t,0t<12t , 0 \leq t < 12 , for which the prey population is 10,725 .

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