Predatory prey cycle: the population P of a predator species is given
(P= 5800 + 1000 sin[ (\pi * t)/12]\) where t is time in months. Population P of prey species is \(P= 9500 +2800 cos [(\pi * t)/12]\) Graph both models on same axes. When predator population is highest, is prey population increasing or decreasing? When prey population is highest is predator population increasing or decreasing(again remember that adding the constant to function moves graph upwards).
a) Draw graph function for 3 cycles
b) Provide maximum, minimum, period, frequency, amplitude and center values for every function.