1. Let R(t) be a smooth vector-valued function such that Ř(0) = (-1,2, – 1), ' (0) : (0, 1, –3), Ř" (0) = (4,0, 1). (a) Determine the curvature of the graph of R at t = 0. (b) Find an equation of the osculating plane at t = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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pls show complete solutions. thank you. both are only under one item

1. Let R(t) be a smooth vector-valued function such that
Ř(0) = (-1,2, – 1), ' (0) :
(0, 1, –3), Ř" (0) = (4,0, 1).
(a) Determine the curvature of the graph of R at t = 0.
(b) Find an equation of the osculating plane at t = 0.
Transcribed Image Text:1. Let R(t) be a smooth vector-valued function such that Ř(0) = (-1,2, – 1), ' (0) : (0, 1, –3), Ř" (0) = (4,0, 1). (a) Determine the curvature of the graph of R at t = 0. (b) Find an equation of the osculating plane at t = 0.
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