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AP Calculus BC Name_ Date 6.1 Plane Curves & Parametric Equations Grade / 10 Sketch the parametric curve for the following set of parametric equations.

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AP Calculus BC Name_ Date 6.1 Plane Curves & Parametric Equations Grade / 10 Sketch the parametric curve for the following set of parametric equations. Clearly indicate direction of motion. Then Eliminate the parameter and write the rectangular equation. 1.x= 12 +t y = 2t - 1 2. x = t2 +t y = 2t-1 -1sts1 3. x = 5cost y = 2 sint Ost s 2 n 4. x = 5 cos(3t) y = 2 sin (3t) Ost = 2 n 5. Sketch the parametric curve for the following set of parametric equations. Clearly identify the direction of motion. If the curve is traced out more than once give a range of the parameter for which the curve will trace out exactly once. x = sin't y = 2 cost 60 1 - V

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