Find an arc length parametrization r₁ (s) of the curve r(t) = (7 cos(t), 7 sin(t), ³/²), with the parameter s measuring from (7,0,0). (Use symbolic notation and fractions where needed.) r₁(s) = Incorrect (65)³ 343 343 343 (6s)³ (2008 (C)² + 2 ) 7 ( (0)² + + 2 ) + ( (0)² + + 2 ) | (6s) 6 6 6 7 cos sin 53 53 53

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find an arc length parametrization r₁(s) of the curve r(t)
(7,0,0).
(Use symbolic notation and fractions where needed.)
r₁(s) =
Incorrect
343
343
(--(-²)(²) ₁ (²-))
(6s)³ +
6
4
6
,7 sin
53
53
7 cos
7333
(6s)
+
를
(6s) ³ +
53
343
=
(7 cos(t), 7 sin(t), 1³/2), with the parameter s measuring from
6
Transcribed Image Text:Find an arc length parametrization r₁(s) of the curve r(t) (7,0,0). (Use symbolic notation and fractions where needed.) r₁(s) = Incorrect 343 343 (--(-²)(²) ₁ (²-)) (6s)³ + 6 4 6 ,7 sin 53 53 7 cos 7333 (6s) + 를 (6s) ³ + 53 343 = (7 cos(t), 7 sin(t), 1³/2), with the parameter s measuring from 6
Expert Solution
Step 1

Given Data:

Let us consider the given data,

r(t)=7cost, 7sint, 43t32
To Find:
The arc length parametrization r1s.
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