In a predator/prey model, the predator population is modeled by the function y = 900 cos(2t) + 7000 where t is measured in years. (a) What is the maximum population? (b) Find the length of time between successive periods of maximum population. (Round your answer to two decimal places.) |yr Need Help? Read It

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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In a predator/prey model, the predator population is modeled by the function

\[ y = 900 \cos(2t) + 7000 \]

where \( t \) is measured in years.

(a) What is the maximum population?  
[Text box for answer]

(b) Find the length of time between successive periods of maximum population. (Round your answer to two decimal places.)  
[Text box for answer] yr

Need Help? [Read It] [Button]
Transcribed Image Text:In a predator/prey model, the predator population is modeled by the function \[ y = 900 \cos(2t) + 7000 \] where \( t \) is measured in years. (a) What is the maximum population? [Text box for answer] (b) Find the length of time between successive periods of maximum population. (Round your answer to two decimal places.) [Text box for answer] yr Need Help? [Read It] [Button]
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