A smooth curve C is defined by some vector function R(t) with R (-) = (7,0,−2) and R′(t) = (2, √5 csc t, 2 cott) for all t € (0, π). ㅠ 1. Give a vector equation of the line tangent to C at the point where t = 2 2. Find the moving trihedral of C for all t € (0, π). 3. Reparametrize the unit tangent vector T(t) using the arc length as parameter starting from t = 1.

A smooth curve C is defined by some vector function R(t) with R (-) = (7,0,−2) and R′(t) = (2, √5 csc t, 2 cott) for all t € (0, π). ㅠ 1. Give a vector equation of the line tangent to C at the point where t = 2 2. Find the moving trihedral of C for all t € (0, π). 3. Reparametrize the unit tangent vector T(t) using the arc length as parameter starting from t = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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