Naturalists find that the populations of some kinds of predatory animals vary periodically. Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept when time t = 0 years. A minimum number, 200 foxes, occurred when t =2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years.

Write an equation expressing population as a function of time.

Write an equation expressing population as a function of time.

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