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Past exam of the mathematical methods II course of the University of Oxford / 2018 / 2

Codex (@codex,  0) ... Undergraduate course of the University of Oxford 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 2018
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The velocity vector of the helix is r′(t)=(−sint,cost,1), whose Euclidean norm is 2​. Thus its arc length over the stated parameter interval is
L=∫02π​∥r′(t)∥dt=2π2​.​
(1)
Omitting the two endpoints does not change this finite arc length.

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