nd the length of the curve c(t) defined by c(t) = (-3 cos (t), –3 sin (t), t) if 0 < t < 2n and c(t) = (-8,1 – 27, 6t) if %3D =

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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Find the length of the curve c(t) defined by c(t) = (-3 cos (t), –3 sin (t), t) if 0 <t < 2n and c(t) = (-8,1 – 2n, 6t) if
%3D
2n <t < 4r.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
L(c)
Transcribed Image Text:Find the length of the curve c(t) defined by c(t) = (-3 cos (t), –3 sin (t), t) if 0 <t < 2n and c(t) = (-8,1 – 2n, 6t) if %3D 2n <t < 4r. (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(c)
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