Suppose C is the curve given by r(t) = (3 cos(t), -3 sin(t), 4t). Show that both the curvature as well as the torsion of C are constant, and find their values.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Suppose C is the curve given by r(t) = (3 cos(t), -3 sin(t), 4t).

Show that both the curvature as well as the torsion of C are constant, and find their values.

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