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Modeling with periodic functions: Cyclical exponential growth. A population of rabbits oscillates 30 (rabbits) above and below average during each year, hitting the lowest value in January (t = 0). The average population starts at 750 rabbits and increases by 3% each month. An equation for the population, P, in terms of the months since January, t, is given by the following: P(t) = 30 cos (t) + 750(1.03)* . %3D -

Modeling with periodic functions: Cyclical exponential growth. A population of rabbits oscillates 30 (rabbits) above and below average during each year, hitting the lowest value in January (t = 0). The average population starts at 750 rabbits and increases by 3% each month. An equation for the population, P, in terms of the months since January, t, is given by the following: P(t) = 30 cos (t) + 750(1.03)* . %3D -

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 27E: Logistic Growth Animal populations are not capable of unrestricted growth because of limited habitat...
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Modeling with periodic functions: Cyclical exponential growth. A population of rabbits oscillates 30 (rabbits) above and below average during each year, hitting the lowest value in January (t = 0). The average population starts at 750 rabbits and increases by 3% each month. An equation for the population, P, in terms of the months since January, t, is given by the following: P(t) = 30 cos (t) + 750(1.03)* . 6 How many rabbits will there be in March? rabbits
Transcribed Image Text:Modeling with periodic functions: Cyclical exponential growth. A population of rabbits oscillates 30 (rabbits) above and below average during each year, hitting the lowest value in January (t = 0). The average population starts at 750 rabbits and increases by 3% each month. An equation for the population, P, in terms of the months since January, t, is given by the following: P(t) = 30 cos (t) + 750(1.03)* . 6 How many rabbits will there be in March? rabbits
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