Question: $4. (12 p) Consider a particle moving along a path defined the parametric curve C : x(t) = sin(t), y(t) = cos(2t); timet E [0,

$4. (12 p) Consider a particle moving along a path defined

$4. (12 p) Consider a particle moving along a path defined the parametric curve C : x(t) = sin"(t), y(t) = cos(2t); timet E [0, 7]. (i) Compute the distanced travelled by the particle, ie, the length of the trajectory of the particle along the given curve C. (ii) Write a rectangular equation for the curve C

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