Find the speed: r(t) = (sinh(t), sinh(t), – 5t) at t = 1. %D v(1) =
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:Evaluate s(t) = S ||r' (u)||du for the Bernoulli spiral r (t) = (e' .
cos (3t), e' sin (3t)).
∞ as the lower limit since s(-∞) = 0. Then use s to obtain an arc length parametrization of r(t).
It is convenient to take
r1(s) = {
Transcribed Image Text:Find the speed: r(t) = (sinh(t), sinh(t), – 5t) at t = 1.
v(1) =
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