give parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. (The graphs will vary with the equation used.) Indicate the portion of the graph traced by the particle and the direction of motion. 1. x = 4 cos t, y = 2 sin t, 0<= t<= 2pai  2. x = 4 sin t, y = 5 cos t, 0<=t<=2pai.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
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give parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle’s path by finding a Cartesian equation for it. Graph the Cartesian equation. (The graphs will vary with the equation used.) Indicate the portion of the graph traced by the particle and the direction of motion.

1. x = 4 cos t, y = 2 sin t, 0<= t<= 2pai 

2. x = 4 sin t, y = 5 cos t, 0<=t<=2pai.

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