The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate by the particle and the direction of motion. x= 4 cos (t), y = 4 sin (t), 0sts2x Choose the correct Cartesian equation that represents the same path as the parametric equations. O A. (x+y? = 32 O B. +y = 32 OC. (x+y)? = 16 O D. 2+y = 16 Choose the correct graph that represents this motion. Oc. O B. OA. Ay

Algebra and Trigonometry (MindTap Course List)
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Chapter8: Polar Coordinates And Parametric Equations
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The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. 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), Osts 2r
Choose the correct Cartesian equation that represents the same path as the parametric equations.
O A. (x+y? = 32
O B. +y = 32
OC. (x+y)? = 16
O D. 2+y = 16
Choose the correct graph that represents this motion.
Oc.
OB.
OA.
Transcribed Image Text:The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. 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), Osts 2r Choose the correct Cartesian equation that represents the same path as the parametric equations. O A. (x+y? = 32 O B. +y = 32 OC. (x+y)? = 16 O D. 2+y = 16 Choose the correct graph that represents this motion. Oc. OB. OA.
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