 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ib/paper-1/16c/b/iii/solution

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

G = G_{0}

, the linear terms cancel and

u (y) = U \frac{y ^{2}}{h ^{2}} .

The volume flux per unit width is

Q = \int_{0}^{h} u (y) d y = \frac{U h}{3} .

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