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 = 2 sin t, y = 3 cos t, 0 ? t ? 2?

A.  +  = 1

Counterclockwise from (0, 3) to (0, 3), one rotation
B.  +  = 1

Counterclockwise from (0, 2) to (0, 2), one rotation
C.  +  = 1

Counterclockwise from (3, 0) to (3, 0), one rotation
D.  +  = 1

Counterclockwise from (2, 0) to (2, 0), one rotation


Answer: A

Mathematics

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