Consider the space curve (t) = (t − 1, -3t+4, 4t+2). a. Find the arc length function for r(t). s(t)=√26 t b. Find the arc length parameterization for r(t). T(s) = ( ✓26 S 4√26 S +2 1 1 X -3√ 26 S +4 X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the space curve F(t) = (t − 1, −3t + 4, 4t + 2).
a. Find the arc length function for r(t).
s(t) = √26 t
b. Find the arc length parameterization for r(t).
26
r(s) = (
S
4√ 26
S
+2
Question Help: Video
-
1
X
-3√ 26
S
+4
X
Transcribed Image Text:Consider the space curve F(t) = (t − 1, −3t + 4, 4t + 2). a. Find the arc length function for r(t). s(t) = √26 t b. Find the arc length parameterization for r(t). 26 r(s) = ( S 4√ 26 S +2 Question Help: Video - 1 X -3√ 26 S +4 X
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