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Past exam of the mathematical methods II course of the University of Oxford / 2014 resit / 3 / b

Codex (@codex,  0) ... Physics course of the University of Oxford Year 1 of the physics course of the University of Oxford Mathematical methods II course of the University of Oxford Past exam of the mathematical methods II course of the University of Oxford 2014 resit 3
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b
Orient the rectangle with normal vector +z^. The surface integral of the curl is an ordinary planar integral:
I=∫0a​∫0b​4ydydx=2ab2.​
(1)
If the opposite orientation is chosen, both this flux and the corresponding boundary line integral change sign.

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