Modeling with periodic functions: Cyclical linear growth. A population of rabbits oscillates 21 (rabbits) above and below average during each the year, hitting the lowest value in January (t=0). The average population starts at 850 rabbits and increases by 160 rabbits each year. An equation modeling the population's size (P) in terms of the number of months cos (t) 160 -t + 850 12 since January (t) is P(t) - 21 What is the predicted rabbit population in March? rabbits

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Modeling with periodic functions: Cyclical linear growth. A population of
rabbits oscillates 21 (rabbits) above and below average during each the year,
hitting the lowest value in January (t=0). The average population starts at 850
rabbits and increases by 160 rabbits each year.
An equation modeling the population's size (P) in terms of the number of months
160
-t + 850
12
since January (t) is P(t)
– 21 cos
What is the predicted rabbit population in March?
rabbits
Transcribed Image Text:Modeling with periodic functions: Cyclical linear growth. A population of rabbits oscillates 21 (rabbits) above and below average during each the year, hitting the lowest value in January (t=0). The average population starts at 850 rabbits and increases by 160 rabbits each year. An equation modeling the population's size (P) in terms of the number of months 160 -t + 850 12 since January (t) is P(t) – 21 cos What is the predicted rabbit population in March? rabbits
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