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3.5 Naturalists find that populations of some kinds of predatory animals vary periodically with time. Assume that the population of foxes in a certain

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3.5 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 sinusoidaly with time. A minimum number of 400 foxes appeared at t = 2 years. The next maximum, 600 foxes, occurred at t = 3.75 years. The function to model this situation is f(t) = 100 cos $1.75 T (t-3.75)) + 500 is below. 1000 900 800 700 600 500 400 300 200 100 -1 -100- 4 5 6 7 8 9 10 11 12 Round answers to the hundredths. After 3.75 years, when is the population 550 for the first time? answer to nearest tenth). years (round After 3.75 years, When is the population 550 for the second time? answer to nearest tenth) years (round

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