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Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.

Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.

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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Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.
Transcribed Image Text:Let r(t) = (3t², sin(t) – tcos(t), cos(t) + tsin(t)), t > 0. (a) Find the vectors unit tangent vector T and unit normal vector N. (b) Find the curvature. (c) Find the binormal vector B. (b) Find the torsion.
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