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Describe the motion of a particle with position P(x, y) when x=2sint, y=2cost as t varies in the interval 0t2 . Moves along the line

Describe the motion of a particle with position P(x, y) when x=2sint, y=2cost as t varies in the interval 0t2 .

  1. Moves along the line x/4 + y/2 = 1, starting at (0, 2) and ending at (4, 0).
  2. Moves along the line x/4 + y/2 = 1, starting at (4, 0) and ending at (0, 2).
  3. Moves once clockwise along the ellips X2/16 + y2/4=1, starting and ending at (0, 2).
  4. Moves once clockwise along the ellipse (4X)2 + (2y)2=1, starting and ending at (0, 2).
  5. Moves once counterclockwise along the ellipse X2/16 + y2/4=1, starting and ending at (0, 2).
  6. Moves once counterclockwise along the ellipse (4X)2 + (2y)2=1, starting and ending at (0, 2).

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