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.