$\"\"$

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The parametric equations are $\"\"$ and $\"\"$ .

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Graph:

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Graph the parametric equations $\"\"$ and $\"\"$ .

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$\"\"$ .

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Observe the graph:

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The graph crosses each other at $\"\"$ and $\"\"$ .

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The graph crosses each other at $\"\"$ .

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$\"\"$

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Find the slope of the tangent line.

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Parametric form of derivatives: $\"\"$ .

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$\"\"$

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At $\"\"$ , $\"\"$ .

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Slope of the tangent line at $\"\"$ is $\"\"$ .

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At $\"\"$ , $\"\"$ .

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Slope of the tangent line at $\"\"$ is $\"\"$ .

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$\"\"$

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Find the tangent line equation at $\"\"$ .

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Point slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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Find the tangent line equation at $\"\"$ .

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Point slope form of line equation is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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$\"\"$

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Tangent line equation at $\"\"$ is $\"\"$ .

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Tangent line equation at $\"\"$ is $\"\"$ .