Consider the Following Nonlinear System

Multiple Choice

Consider the following nonlinear system:

Which of the following statements are true? Select all that apply.

A) (-3, 3) is an asymptotically stable node.
B) (3, -3) is an unstable spiral node.
C) (-3, 3) is an unstable node.
D) (6, 6) is an unstable node.
E) (6, -6) is an unstable node.
F) (6, 6) is an asymptotically stable node.
G) (0, 0) is a saddle point.
H) (-6, -6) is an asymptotically stable node.