A rabbit population rises and falls each year. It is at a minimum of 5000 rabbits in January and a maximum of 5600 rabbits six months later. By the following January the population drops again to 5000 rabbits. Let P(t) model the number of rabbits in the population where t is the number of months since January. P(t) = Acos(Bt) + C (a) Find the value of A in the model. (b) Find the value of C in the model.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A rabbit population rises and falls each year. It is at a minimum of 5000 rabbits in January
and a maximum of 5600 rabbits six months later. By the following January the population
drops again to 5000 rabbits. Let P(t) model the number of rabbits in the population
where t is the number of months since January.
P(t) = Acos(Bt) + C
(a) Find the value of A in the model.
(b) Find the value of C in the model.
Transcribed Image Text:A rabbit population rises and falls each year. It is at a minimum of 5000 rabbits in January and a maximum of 5600 rabbits six months later. By the following January the population drops again to 5000 rabbits. Let P(t) model the number of rabbits in the population where t is the number of months since January. P(t) = Acos(Bt) + C (a) Find the value of A in the model. (b) Find the value of C in the model.
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