 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-1/8b/a/solution

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

For a type-two generating function, compare

d F_{2} = p d q + Q d P

with

d F_{2} = \frac{\partial F _{2}}{\partial q}, d q + \frac{\partial F _{2}}{\partial P}, d P .

p = \frac{\partial F _{2}}{\partial q}, Q = \frac{\partial F _{2}}{\partial P} .

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