 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ia/paper-2/8a/b/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

J (x, y) = (0 8 x / (x^{2} + 1) 1 - 3) .

(1, 0)

1, - 4

, so this point is a saddle. At

(- 1, 0)

they are

(- 3 \pm i 7) /2

, so this point is a stable spiral.

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