Find the curvature of the curve: R(t) Find = (2sint, t, 2cost)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Find the curvature of the curve: R(t) = (2sint, t, 2cost)
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ne ac
Transcribed Image Text:Find the curvature of the curve: R(t) = (2sint, t, 2cost) Find ne ac
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In the last step of the solution you have 2sqrt(5)/(sqrt(5))2. Isn't that supposed to be 2sqrt(5)/(sqrt(5))3? It is cubed in the original equation for curvature so was wondering if that was just a typo in the solution or if there is a reason the denominator is squared instead of cubed? 

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