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 sin t, y = 5 cos t, 0 ? t ? 2?
A. +
= 1
Counterclockwise from (0, 3) to (0, 3), one rotation
B. +
= 1
Counterclockwise from (5, 0) to (5, 0), one rotation
C. +
= 1
Counterclockwise from (3, 0) to (3, 0), one rotation
D. +
= 1
Counterclockwise from (0, 5) to (0, 5), one rotation
Answer: D
Mathematics
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A.
B.
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