4. Find the unit tangent vector T(t) to the curve r(t) = (In(cos t), cost, sin t) at time t. (a) (-sint, -sint cos t, cos² t) (b) (-tant, -sin t, cost) (c) (sin t, - sint cost, cos² t) (d) (tant, -sint, cost) (e) None of the other choices.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Find the unit tangent vector T(t) to the curve r(t) = (In(cos t), cost, sin t) at time t.
(a) (-sint, -sint cost, cos² t) (b) (-tant, - sint, cost)
(c) (sin t, - sint cost, cos² t)
(d) (tant, - sint, cost)
(e) None of the other choices.
Transcribed Image Text:4. Find the unit tangent vector T(t) to the curve r(t) = (In(cos t), cost, sin t) at time t. (a) (-sint, -sint cost, cos² t) (b) (-tant, - sint, cost) (c) (sin t, - sint cost, cos² t) (d) (tant, - sint, cost) (e) None of the other choices.
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