Posted by **Molly** on Wednesday, December 1, 2010 at 10:14pm.

The population size, P,

of owls (predators) in a certain region can

be modelled by the function

P(t) = 1000 + 100 sin (3.14t/12), where t represents

the time in months. The population size, p,

of mice (prey) in the same region is given by

p(t) = 20 000 + 4000 cos (3.14t/12). State the period, amplitude and vertical displacement for each curve. Graph both functions.

- Math -
**Reiny**, Wednesday, December 1, 2010 at 10:19pm
I will do the first, you do the second

P(t) = 1000 + 100 sin(πt/12)

period = 2π/(π/12) = 24 months

amplitude = 100

vertical displacement = 1000

- Math -
**Molly**, Wednesday, December 1, 2010 at 10:23pm
period = 2ð/(ð/12) = 24 months

amplitude = 4000

vertical displacement = 20 000

- Math -
**Reiny**, Wednesday, December 1, 2010 at 10:41pm
correct

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