Please give a clear and detailed solution 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.

Given Data: Let us consider the given curve with parametrization given by, rt =-4 cost ,4 sint , 8t…

Answered: Consider the curve with parametrization…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

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.