Show that the tractrix r(t) = (t tanh t, sech t) has the curvature function (t)

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Show that the tractrix r(t) = (t − tanh t, sech t) has the curvature function κ(t) = sech t.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 15, 2024 08:00 AM

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Show that the tractrix r(t) = (t tanh t, sech t) has the curvature function (t)

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Writing rt xt yt we have xt t tanht and yt secht We compute ...View the full answer

Calculus

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