Consider the space curve r(t) www (10 cos(-5t), 2√11 cos(-5t), 12 sin(-5t)). a. Find the arc length function for F(t). s(t) = 60t ✓ b. Find the arc length parameterization for r(t). 2√11 7(s) = 10 cos(-300t) 11 12 sin(-300t) x X cos(-300t)
Consider the space curve r(t) www (10 cos(-5t), 2√11 cos(-5t), 12 sin(-5t)). a. Find the arc length function for F(t). s(t) = 60t ✓ b. Find the arc length parameterization for r(t). 2√11 7(s) = 10 cos(-300t) 11 12 sin(-300t) x X cos(-300t)
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:Consider the space curve F(t) = (10 cos(-5t), 2√11 cos(-5t), 12 sin(-5t)).
a. Find the arc length function for F(t).
s(t)= 60t
✓
b. Find the arc length parameterization for r(t).
2√11
7(s) = 10 cos(-300t)
11
12 sin(-300t)
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cos(-300t)
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