Consider the space curve (t) = (6 cos(5t), 8 cos(5t), 10 sin(5t)). a. Find the arc length function for r(t). s(t) =

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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3.3.3

Consider the space curve (t)
=
(6 cos(5t), 8 cos(5t), 10 sin(5t)).
a. Find the arc length function for r(t).
s(t) =
b. Find the arc length parameterization for r(t).
r(s) =
Transcribed Image Text:Consider the space curve (t) = (6 cos(5t), 8 cos(5t), 10 sin(5t)). a. Find the arc length function for r(t). s(t) = b. Find the arc length parameterization for r(t). r(s) =
Consider the space curve (t)
=
(2t - 4, — 3t — 4, – t – 1).
a. Find the arc length function for r(t).
s(t) =
b. Find the arc length parameterization for r(t).
r(s) =
Transcribed Image Text:Consider the space curve (t) = (2t - 4, — 3t — 4, – t – 1). a. Find the arc length function for r(t). s(t) = b. Find the arc length parameterization for r(t). r(s) =
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