 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/30d/b/solution

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

The saddle is

z_{s} = 1 + i

ϕ (z) = i - (z - 1 - i)^{2} /2

, so its steepest-descent line is the horizontal line

z = 1 + i + s

s \in R

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