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For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T(4)=(,) B) Let r(t) = (t², t³). Then T(1)= (. C) Let r(t) = e4ti + e-tj + tk. Then T(2)= i+i+k.

For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T(4)=(,) B) Let r(t) = (t², t³). Then T(1)= (. C) Let r(t) = e4ti + e-tj + tk. Then T(2)= i+i+k.

Advanced Engineering Mathematics
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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For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T(4)=(,) B) Let r(t) = (t², t³). Then T(1)= (. C) Let r(t) = e4ti + e-tj + tk. Then T(2)= i+i+k.
Transcribed Image Text:For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T(4)=(,) B) Let r(t) = (t², t³). Then T(1)= (. C) Let r(t) = e4ti + e-tj + tk. Then T(2)= i+i+k.
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