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Describe the Graph of the Parametric Equations x=2cos(πt+1),y=2sin(πt+1)x=2 \cos \left(\frac{\pi}{t+1}\right), y=2 \sin \left(\frac{\pi}{t+1}\right)

Question 84

Multiple Choice

Describe the graph of the parametric equations x=2cos(πt+1) ,y=2sin(πt+1) x=2 \cos \left(\frac{\pi}{t+1}\right) , y=2 \sin \left(\frac{\pi}{t+1}\right) for t>t> 0.


A) A circle of radius 2, centered at the origin and traced in the clockwise direction.
B) The right half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point (0,2) (0,2) .
C) The lower half of a circle of radius 2 , centered at the origin, traced in the counterclockwise direction, and never quite reaching the point (2,0) (2,0) .
D) The upper half of a circle of radius 2, centered at the origin, traced in the clockwise direction, and never quite reaching the point (2,0) (2,0) .

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