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Find and classify the critical point of the linear system below. dX 5 2 2 _=_ + _ (it x y dy E -4x-y-12 The

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Find and classify the critical point of the linear system below. dX 5 2 2 _=_ + _ (it x y dy E -4x-y-12 The critical point occurs at D. (Simplify your answer. Type an ordered pair.) The critical point is alan because the eigenvalue(s) r D (Simplify your answer. Use a comma to separate answers as needed. Type an exact answer, using radicals and i as needed. (Simplify your answer. Type an ordered pair.) The critical point is alan |:| because the eigenvalue (Simplify your answer. U: :wer, using rad unstable improper node asymptotically stable improper node unstable spiral point unstable proper node or improper node unstable saddle point asymptotically stable spiral point stable center asymptotically stable proper node or improper node (act answer, using radicals and 1' are complex-valued and purely imaginary. are complex-valued with a negative real part. are real and have opposite signs. are real, distinct, and negative. are complex-valued with a positive real part. is a repeated real positive eigenvalue. is a repeated real negative eigenvalue. are real, distinct, and positive

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