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).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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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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