2. Find T, N, and K, the center of the osculating circle, the equations of the osculating, rectifying and normal planes, and a parametric equation for the osculating circle given the plane curve r(t) = 2t³i – 3t?j + 6tk; at t=1.

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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2. Find T, N, and r, the center of the osculating circle, the equations of the osculating, rectifying
and normal planes, and a parametric equation for the osculating circle given the plane curve r(t) =
2t³i – 3t²j + 6tk; at t=1.
Transcribed Image Text:2. Find T, N, and r, the center of the osculating circle, the equations of the osculating, rectifying and normal planes, and a parametric equation for the osculating circle given the plane curve r(t) = 2t³i – 3t²j + 6tk; at t=1.
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