A curve in three dimensional space is parametrized as 7(u) = cos(u)i + sin(u)j + cos(3u)k, + COS u e [0, 27). Find the length of the curve (Hint: The answer is expressed in terms of the elliptic integrals), and give a numerical value up to three decimals (You can again use WolframAlpha).

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A curve in three dimensional space is parametrized as
F(u) = cos(u)i + sin(u)j + cos(3u)k,
и є [0, 2т).
Find the length of the curve (Hint: The answer is expressed in
terms of the elliptic integrals), and give a numerical value up to
three decimals (You can again use WolframAlpha).
Transcribed Image Text:A curve in three dimensional space is parametrized as F(u) = cos(u)i + sin(u)j + cos(3u)k, и є [0, 2т). Find the length of the curve (Hint: The answer is expressed in terms of the elliptic integrals), and give a numerical value up to three decimals (You can again use WolframAlpha).
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