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Use your knowledge of equilibria of systems to answer the following questions. (a) (2 points) Consider the system x′ = (−1 2 −5 0)x Classify the equilibrium point x = (0, 0) as a node/spiral, sink/source, saddle point or center. (b) (2 points) Consider the system z′ = (3 1 −1 3)z Classify the equilibrium point z = (0, 0) as a node/spiral, sink/source, saddle point or center.

Use your knowledge of equilibria of systems to answer the following questions. (a) (2 points) Consider the system x′ = (−1 2 −5 0)x Classify the equilibrium point x = (0, 0) as a node/spiral, sink/source, saddle point or center. (b) (2 points) Consider the system z′ = (3 1 −1 3)z Classify the equilibrium point z = (0, 0) as a node/spiral, sink/source, saddle point or center.

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  1. Use your knowledge of equilibria of systems to answer the following questions. (a) (2 points) Consider the system
x ′ = ( − 1 2 − 5 0 ) x
Classify the equilibrium point x = ( 0 , 0 ) as a node/spiral, sink/source, saddle point or center. (b) (2 points) Consider the system
z ′ = ( 3 1 − 1 3 ) z
Classify the equilibrium point z = ( 0 , 0 ) as a node/spiral, sink/source, saddle point or center.

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