The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following function.
p(t)=2670 - 1270 cos 1.1t
In this equation, p(t) represents the total population size, and t is the time in years.
Find the following. If necessary, round to the nearest hundredth.
Amplitude of p:
Frequency of p: _ cycles per year
Time for one full cycle of p : __ years
recall that
p(t) = A + Bcos(kt)
has
amplitude = |B|
period = 2π/k
frequency = 1/period = k/(2π)
so now just plug in your numbers