 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ib/paper-1/5c/iii/solution

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

For

ν = 2

∣ r (i y) ∣^{2} = 1 + y^{4} /4

, so only

y = 0

is stable. For

ν = 3

∣ r (i y) ∣^{2} = 1 - y^{4} /12 + y^{6} /36

, so the stable imaginary segment is

∣ y ∣ \leq 3

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