If you already know |a N | and |v|, then the formula a N = k |v|

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If you already know |a_N| and |v|, then the formula a_N = k |v|² gives a convenient way to find the curvature. Use it to find the curvature and radius of curvature of the curve

(Take a_N and |v| from Example 1.)

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Related Book For answer-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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Question Posted: May 08, 2023 03:38 AM

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If you already know |a N | and |v|, then the formula a N = k |v|

Question:

r(t) (cost + t sin t)i + (sin t t cos t)j, t > 0. -

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To find the curvature and radius of curvature of the given curve well use the formula you provided ...View the full answer

Thomas Calculus Early Transcendentals

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