Parametric equations and 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 = 2 cos t, y = 2 sin t, ? ? t ? 2?
A. x2 + y2 = 4; Counterclockwise from
(2, 0) to (2, 0), one rotation
B. x2 + y2 = 4; Clockwise from (2, 0) to (-2, 0)
C. x2 + y2 = 1; Clockwise from
(1, 0) to (1, 0), one rotation
D. x2 + y2 = 4; Counterclockwise from
(-2, 0) to (2, 0)
Answer: D
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