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We consider deer and wolves that live in a national park. (a) The population of deer oscillates cyclically over a 10 year span. Assume that in the year t = 3, the deer population reached its maximum value of 4000 and in the year t = 8 it was at its minimum value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year t. (b) The park's wolf population in year t is given by the equation W (t) = -8(t – 4.5)² + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375.

We consider deer and wolves that live in a national park. (a) The population of deer oscillates cyclically over a 10 year span. Assume that in the year t = 3, the deer population reached its maximum value of 4000 and in the year t = 8 it was at its minimum value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year t. (b) The park's wolf population in year t is given by the equation W (t) = -8(t – 4.5)² + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.8: Applications Of Vector Spaces
Problem 83E
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We consider deer and wolves that live in a national park. (a) The population of deer oscillates cyclically over a 10 year span. Assume that in the year t = 3, the deer population reached its maximum value of 4000 and in the year t value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year 8 it was at its minimum t. (b) The park's wolf population in year t is given by the equation W (t) = -8(t – 4.5)² + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375.
Transcribed Image Text:We consider deer and wolves that live in a national park. (a) The population of deer oscillates cyclically over a 10 year span. Assume that in the year t = 3, the deer population reached its maximum value of 4000 and in the year t value of 3000. Write down an appropriate sinusoidal model for the deer population D(t) in year 8 it was at its minimum t. (b) The park's wolf population in year t is given by the equation W (t) = -8(t – 4.5)² + 400. Determine the time interval between the years [0, 10] when the wolf population is over 375.
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