A smooth curve C is defined by some vector function R(t) with R = (π, 0, -2) and R '(t)= (2, √5 csc t, 2 cott) for all t = (0, π). πT 2 1. Give a vector equation of the line tangent to C at the point where t = 2. Find the moving trihedral of C for all t€ (0, π). E
A smooth curve C is defined by some vector function R(t) with R = (π, 0, -2) and R '(t)= (2, √5 csc t, 2 cott) for all t = (0, π). πT 2 1. Give a vector equation of the line tangent to C at the point where t = 2. Find the moving trihedral of C for all t€ (0, π). E
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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![A smooth curve C is defined by some vector function R(t) with
S
R = (π,0,-2) and R'(t)= (2, √5 csc t, 2 cot t) for all t = (0, π).
T
π
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ce74d77-9192-44fe-92d1-6f7c526310f9%2Fa689a07d-869f-4503-a7db-2c23b71f244f%2F32acsra_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A smooth curve C is defined by some vector function R(t) with
S
R = (π,0,-2) and R'(t)= (2, √5 csc t, 2 cot t) for all t = (0, π).
T
π
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.
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