A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the arc length parametrization of C with reference point P(sin 4, cos 4,2) b. Determine the coordinates of the particle if it travelled 10 units from (cos 4, sin 4,2) Find the curvature of the graph of R at t = 4 с.

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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A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t)
а.
Find the arc length parametrization of C with reference point P(sin 4, cos 4,2)
b. Determine the coordinates of the particle if it travelled 10 units from (cos 4, sin 4,2)
Find the curvature of the graph of R at t =
4
с.
Transcribed Image Text:A particle is moving in space with position function R(t) = (cos(4t), sin(4t),5 – 3t) а. Find the arc length parametrization of C with reference point P(sin 4, cos 4,2) b. Determine the coordinates of the particle if it travelled 10 units from (cos 4, sin 4,2) Find the curvature of the graph of R at t = 4 с.
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