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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 of foxes, 200 foxes, occurred when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. Researchers used this data to construct a function to model the population, p, as a function of time, t. The function they created is: :) + 500. P = 300 sin р 5л 11 -t 20л 11 Foxes are declared to be an endangered species when their population drops below 300. At what time t > 0 were the foxes first endangered? Round to the nearest tenth of a year. The foxes are never going to be endangered. 6.7 years 2.3 years 3.5 years

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 of foxes, 200 foxes, occurred when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. Researchers used this data to construct a function to model the population, p, as a function of time, t. The function they created is: :) + 500. P = 300 sin р 5л 11 -t 20л 11 Foxes are declared to be an endangered species when their population drops below 300. At what time t > 0 were the foxes first endangered? Round to the nearest tenth of a year. The foxes are never going to be endangered. 6.7 years 2.3 years 3.5 years

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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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 of foxes, 200 foxes, occurred when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. Researchers used this data to construct a function to model the population, p, as a function of time, t. The function they created is: p = 300 sin( t 5л 11 + 500. 20л 11 Foxes are declared to be an endangered species when their population drops below 300. At what time t > 0 were the foxes first endangered? Round to the nearest tenth of a year. The foxes are never going to be endangered. 6.7 years 2.3 years 3.5 years
Transcribed Image Text: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 of foxes, 200 foxes, occurred when t = 2.9 years. The next maximum, 800 foxes, occurred at t = 5.1 years. Researchers used this data to construct a function to model the population, p, as a function of time, t. The function they created is: p = 300 sin( t 5л 11 + 500. 20л 11 Foxes are declared to be an endangered species when their population drops below 300. At what time t > 0 were the foxes first endangered? Round to the nearest tenth of a year. The foxes are never going to be endangered. 6.7 years 2.3 years 3.5 years
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