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 = 4 cos t, y = 4 sin t, ? ? t ? 2?
A. x2 + y2 = 1
Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16
Counterclockwise from (4, 0) to (4, 0), one rotation
C. x2 + y2 = 16
Counterclockwise from (-4, 0) to (4, 0)
D. x2 + y2 = 16
Clockwise from (4, 0) to (-4, 0)
Answer: C
Mathematics
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