Fox Population Problem: Naturalists find that populations of some kinds of predatory animals vary periodically with time. Assume that the population of foxes in a certain forest varies sinusoidally with time. Records started being kept at time t = 0 years. A minimum number of 200 foxes appeared when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. %3D %3D a. Sketch the graph of this sinusoid. b. Find a particular equation expressing the number of foxes as a function of time. c. Predict the fox population when t = 7, 8, 9, and 10 years.

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