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Determine the parametric equations of the path of a particle that travels the circle: (x−1)^2+(y−2)^2=100 on...

Determine the parametric equations of the path of a particle that travels the circle:

(x−1)^2+(y−2)^2=100

on a time interval of 0≤t≤2π:

if the particle makes one full circle starting at the point (11,2)(11,2) traveling counterclockwise

if the particle makes one full circle starting at the point (1,12)(1,12) traveling clockwise

if the particle makes one half of a circle starting at the point (11,2)(11,2) traveling clockwise

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