Given a curve C: r (t), find a tangent vector r (f), a unit tangent vector u'(t), and the tangent of C at P. Sketch curve and tangent. 24. r(t) = [t, 31?, 1], P: (2, 2, 1)
Given a curve C: r (t), find a tangent vector r (f), a unit tangent vector u'(t), and the tangent of C at P. Sketch curve and tangent. 24. r(t) = [t, 31?, 1], P: (2, 2, 1)
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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![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 C at P. Sketch curve
and tangent.
24. r(1) = [t, 12, 1], P: (2, 2, 1)
25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)
26. r(t) = [cos t, sin t, 9t], P: (1, 0, 187T)
27. r(t) = [1, 1/t, 0], P: (2, , 0)
28. r(1) = [t, 12, t°], P: (1, 1, 1)
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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 C at P. Sketch curve
and tangent.
24. r(1) = [t, 12, 1], P: (2, 2, 1)
25. r(t) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)
26. r(t) = [cos t, sin t, 9t], P: (1, 0, 187T)
27. r(t) = [1, 1/t, 0], P: (2, , 0)
28. r(1) = [t, 12, t°], P: (1, 1, 1)
%3D
%3D
%3D
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