Consider the circular helix with equation R(t) = (12t, 5 cos t, -5 sin t). (a) Find the value of t such that R(t) = (6π, 0, -5). (b) Reparametrize Ŕ(t) using the arclength parameters from P(67,0, −5).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 20T
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Consider the circular helix with equation R(t) = (12t, 5 cost, -5 sin t).
(a) Find the value of t such that Ř(t) = (6π, 0, −5).
(b) Reparametrize
Ř(t) using the arclength parameters from P(67,0, −5).
Transcribed Image Text:Consider the circular helix with equation R(t) = (12t, 5 cost, -5 sin t). (a) Find the value of t such that Ř(t) = (6π, 0, −5). (b) Reparametrize Ř(t) using the arclength parameters from P(67,0, −5).
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