Let C be the curve given by r(t) (t cos t, t sin t, t) (a) Show that C lies on the cone x 2 y 2 z 2 (b) Sketch the cone and make a rough sketch of C on the cone ...

a x t cost y t sint and z t hence for any point x y z on the curve we ge ...

Let C be the curve given by r(t) = (t cos t, t sin t, t). (a)

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Let C be the curve given by r(t) = (t cos t, t sin t, t).
(a) Show that C lies on the cone x² + y² = z².
(b) Sketch the cone and make a rough sketch of C on the cone.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 04, 2024 01:31 PM

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Let C be the curve given by r(t) = (t cos t, t sin t, t). (a)

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