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Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) Now re-parametrize the same curve by arc length. • If start at the point (-4,0,0) and follow this curve for 11 units of length, where will you be? • Find the curvature of this curve.

Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) Now re-parametrize the same curve by arc length. • If start at the point (-4,0,0) and follow this curve for 11 units of length, where will you be? • Find the curvature of this curve.

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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Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) • Now re-parametrize the same curve by arc length. • If start at the point (-4,0,0) and follow this curve for 11 units of length, where will you be? • Find the curvature of this curve.
Transcribed Image Text:Consider the curve with parametrization given by: r(t) = (-4 cost, 4 sint, 8t) • Now re-parametrize the same curve by arc length. • If start at the point (-4,0,0) and follow this curve for 11 units of length, where will you be? • Find the curvature of this curve.
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