14. Find the length of the curve C. a) C: F(t) = (cos³ (t), 3, sin³ (t)), 0≤ t ≤π/2 b) C: F(t) = (t cos t, t sin t, (2√2/3)t³/2), 0≤t≤ π
14. Find the length of the curve C. a) C: F(t) = (cos³ (t), 3, sin³ (t)), 0≤ t ≤π/2 b) C: F(t) = (t cos t, t sin t, (2√2/3)t³/2), 0≤t≤ π
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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14. Find the length of the curve C.
a) C: F(t) = (cos³ (t), 3, sin³ (t)), 0 ≤ t ≤ π/2
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b) C: r(t) = (t cos t, t sin t, (2√√/2/3)t³/²), 0 ≤ t ≤ π
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