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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 18T

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6. A particle at (1,0,0) starts moving in space in such a way that its position vector at any time t > 0 is
R(t) = (cost + t sin t)i + (sin t – t cos t)j+ t°k, t > 0
(a) Find parametric equations for the line tangent to the trajectory of the particle at the point
where t = 1/2.
(b) Calculate the acceleration of the particle at time t = 1/2.
(c) Calculate the total distance traveled by the particle in the time interval 0 <tsn/2.

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