\"\"

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The parametric equations are \"\", \"\" where \"\".

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Construct a table for different values \"\".

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\" \"\"\"\"\"\"
\"\" \"\"\"\"\"\"
\"\" \"\"\"\"\"\"
\"\" \"\"\"\"\"\"
\"\" \"\"\"\"\"\"
\"\" \"\"\"\"\"\"
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Graph :

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1) Draw the coordinate plane.

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2) Plot the points.

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3) Connect those points with a smooth curve.

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\"\"

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The arrow mark represents the orientation of the parametric equations.

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\"\"

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Find the rectangular equation of the curve.

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Consider \"\".

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Solve for \"\".

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\"\"

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\"\"

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Substitute \"\" in \"\".

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\"\"

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\"\"

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\"\".

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The rectangular equation of the curve is \"\".

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\"\"

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Graph:

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\"\"

\

The rectangular equation of the curve is \"\".