Find an arc length parametrization r1(s) of r(t) = (et sin(t), et cos(t), 9e¹). Assume t(s) = 0 when s = 0, and t'(0) > 0. S r₁(3) = √5 +sin((√5 In =(√83 1 S S 9s √3 · cos(In (√5 + 1)) V 83 83 83
Find an arc length parametrization r1(s) of r(t) = (et sin(t), et cos(t), 9e¹). Assume t(s) = 0 when s = 0, and t'(0) > 0. S r₁(3) = √5 +sin((√5 In =(√83 1 S S 9s √3 · cos(In (√5 + 1)) V 83 83 83
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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Transcribed Image Text:Find an arc length parametrization
r₁(s) of
r(t) = (e¹ sin(t), et cos(t), 9e¹).
Assume t(s) = 0 when s = 0, and t'(0) > 0.
S · sin In
r₁(8) = √3
v
83
S
S
√3 cos (ln(√5 + 1))
In
83
83
:))
+1
9s
√83
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