(a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use Formula 9 to find the curvature. 17. r(t) = (2 sin t, 5t, 2 cos t) 18. r(t) = (t², sin t – t cos t, cos t + t sin t), t>0
(a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use Formula 9 to find the curvature. 17. r(t) = (2 sin t, 5t, 2 cos t) 18. r(t) = (t², sin t – t cos t, cos t + t sin t), t>0
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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I would need some help with problem #18, please?
(a) Find the unit tangent and unit normal
(b) Use Formula 9 to find the curvature.
![17-20
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
(b) Use Formula 9 to find the curvature.
17. r(t)
(2 sin t, 5t, 2 cos t)
18. r(t) = (t°, sin t – t cos t, cos t + t sin t), t>0
19. r(1) = (/2t, e', e-)
20. r(t) = (1, r', 1²)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0754a899-59e7-4a27-92e5-a6864c8899de%2F8c8648b3-78e0-4ee0-8a7b-722e76a1160a%2Fnygp6m_processed.png&w=3840&q=75)
Transcribed Image Text:17-20
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
(b) Use Formula 9 to find the curvature.
17. r(t)
(2 sin t, 5t, 2 cos t)
18. r(t) = (t°, sin t – t cos t, cos t + t sin t), t>0
19. r(1) = (/2t, e', e-)
20. r(t) = (1, r', 1²)
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