Populations of owls and mice are modeled by the equations da dy - 1.2y + 0.04.xy 2x – 0.2xy dt dt Answer the following: (a) Which of the variables, a or y, represents the owl population and which represents the mice population? Explain. (b) Find the equilibrium solutions and explain their significance.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.2: Two-variable Linear Systems
Problem 9ECP
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Populations of owls and mice are modeled by the equations (equations in picture). Answer the following questions.

1. Which of the variables, x or y, represents the owl population and which represents the mice population? Explain.

2. Find the equilibrium solutions and explain their significance.

Populations of owls and mice are modeled by the equations
dx
dy
- 1.2y + 0.04xy
2x – 0.2xy .
dt
dt
Answer the following:
(a) Which of the variables, x or y, represents the owl population
and which represents the mice population? Explain.
(b) Find the equilibrium solutions and explain their significance.
Transcribed Image Text:Populations of owls and mice are modeled by the equations dx dy - 1.2y + 0.04xy 2x – 0.2xy . dt dt Answer the following: (a) Which of the variables, x or y, represents the owl population and which represents the mice population? Explain. (b) Find the equilibrium solutions and explain their significance.
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