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Math

posted by on .

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 - ,

    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 - ,

    period = 2ð/(ð/12) = 24 months
    amplitude = 4000
    vertical displacement = 20 000

  • Math - ,

    correct

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