1_Parametric - t 2 , y = 3 + 2 t 2 , - 3 t 3 ex. x = - 2 +...

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Parametric Equations To represent motion in the xy plane, let x = f ( t ) describe the horizontal motion and y = g ( t ) describe the vertical motion. x = f ( t ) y = g ( t ) parametric equations of a curve with parameter t . Cartesian equations only contain x and y terms such as y = x 2 or x sin y + 3 y - x = 4 . Parametric equations enable us to graph curves that are not functions. ex. x = sin(2 t ), y = cos(3 t ), 0 t 2 p
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ex . x = - 2 + t , y = 3 + 2 t , - 3 t 3 ex. x = - 2 +
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Unformatted text preview: t 2 , y = 3 + 2 t 2 , - 3 t 3 ex. x = - 2 + e t , y = 3 + 2 e t , - 3 t 3 Do: Graph x = t 2 , y = t , - 2 t 2 . Find the Cartesian equation. Show the direction of motion. ex. Suppose you have the Cartesian equation and want to find the parametric equation. y = x 3 + 2 x 2- 4 Given the following x-t and y-t graphs, draw the Cartesian (xy) graph....
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1_Parametric - t 2 , y = 3 + 2 t 2 , - 3 t 3 ex. x = - 2 +...

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