find parametric equations for the path of particle that moves along x^{2}+(y-1)^{2}=4 in a manner described.....
A.) once around clockwise, starting at (2,1)
B.) three times around counterclockwise, starting at (2,1)
C.) halfway around counterclockwise, starting at (3,0)
please help!!!!! and explain in detail please, i dont understand this AT ALL!!!
Equation of this circle with radius=2 and center=(1,0) in complex plane is:
Let t1, t2, t3 be 3 parameters representing stages 1,2,3 of rotation. Then the path is:
Simplifying we have:
Notice that horizontal component of particle's location is real part of path and its verttical component as imaginary part of the path.