 Solution

ID: past-exam-of-the-mathematical-methods-ii-course-of-the-university-of-oxford/2018/2/solution

r^{'} (t) = (- sin t, cos t, 1)

2

. Thus its arc length over the stated parameter interval is

L = \int_{0}^{2 π} ∥ r^{'} (t) ∥ d t = 2 π 2 .

Omitting the two endpoints does not change this finite arc length.

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