please show all steps A circle of radius 5 centered at the origin. The starting

Question

please show all steps

A circle of radius 5 centered at the origin. The starting point is (x, y) = (-5, 0) and the curve is traced out clockwise. A circle of radius 3 centered at the point (x, y) = (2, 4). The starting point is (x, y) = (2, 1) and the curve is traced out counter-clockwise. An ellipse centered at (x, y) = (3, 1) with semi-major axis of 4 in the y-direction and semi-minor axis of 2 in the x-direction. The starting point is (x, y) = (3, 5) and the curve is traced out counter-clockwise.

Explanation / Answer

a)x=5cos(-(theta+180))=-5costheta,y=5sin(-(theta+180))=5sintheta

b)x-2=3cos(theta+180)

x=2-3costheta,

y-4=3sin(theta+180)

y=4-3sintheta

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