Show that the curvature of Vivianis curve, given by r(t) = (1 + cos t, sin t,

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Show that the curvature of Viviani’s curve, given by r(t) = (1 + cos t, sin t, 2 sin(t/2)), is

k(t) = 13 + 3 cost (3 + cost)/2

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 08:00 AM

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Show that the curvature of Vivianis curve, given by r(t) = (1 + cos t, sin t,

Question:

k(t) = 13 + 3 cost (3 + cost)/2

Step by Step Answer:

Calculus

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