Given a curve C: r(t), find a tangent vector r'(1), a unit tangent vector u' (t), and the tangent of Cat P. Sketch curve and tangent. 24. r(t) = [t. 12, 2], P: (2, 1, 2) 25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8) 0 18T)
Given a curve C: r(t), find a tangent vector r'(1), a unit tangent vector u' (t), and the tangent of Cat P. Sketch curve and tangent. 24. r(t) = [t. 12, 2], P: (2, 1, 2) 25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8) 0 18T)
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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25-28
![24-28 TANGENT
Given a curve C: r(t), find a tangent vector r'(t), a unit
tangent vector u' (t), and the tangent of Cat P. Sketch curve
and tangent.
24. r(t) = [1.1²,2], P: (2, 1, 2)
25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)
26. r (1) = [cos 1, sin 1, 91], P: (1, 0, 187) allol adi
27. r(t) = [t, 4/1, 0], P: (4, 1,0)
P: (1, 1, 1)
28. r(t) = [1, 1², 13],](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9feca2e-6552-40a2-aeeb-35b9977ed478%2F8c08c934-07de-4271-9394-22181b6a007a%2Fvmtbcm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:24-28 TANGENT
Given a curve C: r(t), find a tangent vector r'(t), a unit
tangent vector u' (t), and the tangent of Cat P. Sketch curve
and tangent.
24. r(t) = [1.1²,2], P: (2, 1, 2)
25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)
26. r (1) = [cos 1, sin 1, 91], P: (1, 0, 187) allol adi
27. r(t) = [t, 4/1, 0], P: (4, 1,0)
P: (1, 1, 1)
28. r(t) = [1, 1², 13],
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