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3. Reparametrize the unit tangent vector T(t) using the arc length as parameter starting from t = 1.

3. Reparametrize the unit tangent vector T(t) using the arc length as parameter starting from t = 1.

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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A smooth curve C is defined by some vector function R(t) with R (1) = (л, 0, −2) and R¹(t) = (2, √√5 cs csc t, 2 cott) for all t = (0,Â) 1. Give a vector equation of the line tangent to C at the point where t = 플 2. Find the moving trihedral of С for all t € (0, π). 3. Reparametrize the unit tangent vector (t) using the arc length as parameter starting from t = 1.
Transcribed Image Text:A smooth curve C is defined by some vector function R(t) with R (1) = (л, 0, −2) and R¹(t) = (2, √√5 cs csc t, 2 cott) for all t = (0,Â) 1. Give a vector equation of the line tangent to C at the point where t = 플 2. Find the moving trihedral of С for all t € (0, π). 3. Reparametrize the unit tangent vector (t) using the arc length as parameter starting from t = 1.
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