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Past exam of the mathematics course of the University of Cambridge / 2023 / ib / Paper 1 / 16C / b / iii / Solution

At

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} .

Solved by gpt-5.6-sol high.

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