In: Math
Determine the parametric equations of the path of a particle that travels the circle:
(x − 3)2 + (y − 2)2 = 4
on a time interval of 0≤t≤2π
A) if the particle makes one full circle starting at the point (5,2) traveling counterclockwise.
x(t)=?, y(t)=?
B) if the particle makes one full circle starting at the point (3,4) traveling clockwise.
x(t)=?, y(t)=?
C) if the particle makes one half of a circle starting at the point (5,2) traveling clockwise.
x(t)=?, y(t)=?