Classify (if possible) each critical point of the given plane autonomous system as a stable node, a stable spiral point, an unstable spiral point, an unstable node, or a saddle point. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = (x, y) = (x, y) = (x, y) = (x, y) = x = x(1x² 6y²) y' = y(6 - x² - 6y²) X 0,0 1,0 -1.0 0,1 0, 0.1 - X X X x Conclusion stable spiral point ✓x unstable spiral point unstable node stable node saddle point X ✓X ✓X

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