A smooth curve C is defined by some vector function R(t) withR (1) = (л, 0, −2) and R¹(t) = (2, √√5 cscsc t, 2 cott) for all t = (0,Â)1. Give a vector equation of the line tangent to C at the point where t =플2. Find the moving trihedral of С for all t € (0, π).3. Reparametrize the unit tangent vector (t) using the arc length as parameter startingfrom t = 1.

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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