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.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter6: Topics In Analytic Geometry
Section6.6: Parametric Equations
Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7024c4db-e4c4-44c2-8fab-3045baf15ef1%2F50d067c9-747c-4e09-8968-b7ccc66617e9%2Fopt8tqr_processed.png&w=3840&q=75)
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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