Find the length of the curve c(t) defined by c(t) = (-4 cos (t), –4 sin (t), t) if 0 < t< 2n and c(t) = (-7,t – 2n, 6t) if 2n

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) = (-4 cos (t), -4 sin (t), t) if 0<t< 2n and c(t) = (-7,t – 2n, 61) if
2π<t< 4π.
(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) = (-4 cos (t), -4 sin (t), t) if 0<t< 2n and c(t) = (-7,t – 2n, 61) if 2π<t< 4π. (Express numbers in exact form. Use symbolic notation and fractions where needed.) L(c):
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