Parametric Equations and And a Parameter Interval for the Motion $x=2 \cos t, y=2 \sin t, \pi \leq t \leq 2 \pi$

question 256

Multiple Choice

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.
- $x=2 \cos t, y=2 \sin t, \pi \leq t \leq 2 \pi$

• A) \(x ^ { 2 } + y ^ { 2 } = 4\); Counterclockwise from \(( 2,0 )\) to \(( 2,0 )\), one rotation
• B) \(x ^ { 2 } + y ^ { 2 } = 4 ;\) Clockwise from \(( 2,0 )\) to \(( - 2,0 )\)
• C) \(x ^ { 2 } + y ^ { 2 } = 1\); Clockwise from\(( 1,0 )\) to \(( 1,0 )\)
• D) \(x ^ { 2 } + y ^ { 2 } = 4\); Counterclockwise from , one rotation \(( - 2,0 )\) to \(( 2,0 )\)

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