$\"\"$

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

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The point is $\"\"$ .

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Find $\"\"$ .

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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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Find $\"\"$ .

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Parametric form of first derivative: $\"\"$ .

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

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$\"\"$ .

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

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Slope is $\"\"$ .

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$\"\"$

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Find $\"\"$ .

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$\"\"$ .

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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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$\"\"$ .

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Parametric form of second derivative: $\"\"$ .

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

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$\"\"$

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

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As $\"\"$ , the graph is concave down.

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$\"\"$

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$\"\"$ ; Slope is $\"\"$ .

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$\"\"$ ; Concave down.