The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2]3/2 where dots indicate derivatives with respect to t. Find the curvature of the following curve. X = = 8e cos(t), y = 8e* sin(t) k(t) = K= 19

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 34E
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The curvature of a plane parametric curve x = f(t), y = g(t) is given by
|x y - yx|
[x² + y2] 3/2,
K =
where dots indicate derivatives with respect to t. Find the curvature of the following curve.
x = 8e cos(t), y = 8e sin(t)
k(t) =
Transcribed Image Text:The curvature of a plane parametric curve x = f(t), y = g(t) is given by |x y - yx| [x² + y2] 3/2, K = where dots indicate derivatives with respect to t. Find the curvature of the following curve. x = 8e cos(t), y = 8e sin(t) k(t) =
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