Find the critical points of the system below, and then use linearization to classify each one if possible. If it is not possible to classify a critical point this way, briefly explain why not. dx dt dy dt - - y(1 − x - y) x(3 - x - y)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 63E
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Find the critical points of the system below, and then use linearization to classify
each one if possible. If it is not possible to classify a critical point this way, briefly explain
why not.
dx
dt
dy
dt
y(1 − x - y)
x(3 - x - y)
Transcribed Image Text:Find the critical points of the system below, and then use linearization to classify each one if possible. If it is not possible to classify a critical point this way, briefly explain why not. dx dt dy dt y(1 − x - y) x(3 - x - y)
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