Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 cos t, y = 3 sin t, ? ? t ? 2?

A. x2 + y2 = 9

Counterclockwise from (3, 0) to (3, 0), one rotation
B. x2 + y2 = 9

Clockwise from (3, 0) to (-3, 0)
C. x2 + y2 = 1

Clockwise from (1, 0) to (1, 0), one rotation
D. x2 + y2 = 9

Counterclockwise from (-3, 0) to (3, 0)


Answer: D

Mathematics

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