4. In biology the predator-prey model is used to predict the number of prey animals, R, at a particular time t, in years. This number is cyclic, fluctuating with the number of predators. The number of rabbits, R, in a certain region is given by the equation R(t) = 2000 sin(t) + 5000. a) Sketch the graph of this relationship b) Determine how many rabbits there will be in 4 years.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. In biology the predator-prey model is used to predict the number of prey
animals, R, at a particular time t, in years. This number is cyclic, fluctuating with the number of
predators. The number of rabbits, R, in a certain region is given by the equation
R(t) = 2000 sin(t) + 5000.
a) Sketch the graph of this relationship
b)
Determine how many rabbits there will be in 4 years.
Transcribed Image Text:4. In biology the predator-prey model is used to predict the number of prey animals, R, at a particular time t, in years. This number is cyclic, fluctuating with the number of predators. The number of rabbits, R, in a certain region is given by the equation R(t) = 2000 sin(t) + 5000. a) Sketch the graph of this relationship b) Determine how many rabbits there will be in 4 years.
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