Find the unit tangent vector T and the curvature k for the following parameterized curve. r(t) = (V51 cos t,7 cost,10 sin t) ..... The unit tangent vector is T= (Type exact answers, using radicals as needed.)

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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Find the unit tangent vector T and the curvaturek for the following parameterized curve.
r(t) = (V51 cos t,7 cost, 10 sin t)
The unit tangent vector is T=
(Type exact answers, using radicals as needed.)
Transcribed Image Text:Find the unit tangent vector T and the curvaturek for the following parameterized curve. r(t) = (V51 cos t,7 cost, 10 sin t) The unit tangent vector is T= (Type exact answers, using radicals as needed.)
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