Total curvature We find the total curvature of the portion of a smooth curve that runs from s = so tos = s1 > So by integrating k from so to sj. If the curve has some other parameter, say t, then the total curvature is K = k ds = where to and f corespond to so and s. Find the total curvatures of a. The portion of the helix r(t) = (3 cos f)i + (3 sin f)j + tk, 0 sts 4m. b. The parabola y = x², -0
Total curvature We find the total curvature of the portion of a smooth curve that runs from s = so tos = s1 > So by integrating k from so to sj. If the curve has some other parameter, say t, then the total curvature is K = k ds = where to and f corespond to so and s. Find the total curvatures of a. The portion of the helix r(t) = (3 cos f)i + (3 sin f)j + tk, 0 sts 4m. b. The parabola y = x², -0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 61E
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Total curvature
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