$\"\"$

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The polar curve is $\"\"$ .

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The periodicity of the curve $\"\"$ is $\"\"$ .

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Graph:

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Graph the curve $\"\"$ on $\"\"$ .

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$\"\"$

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$\"\"$

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Graph of the curve $\"\"$ is

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$\"\"$ .

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The parameter interval producing entire curve is $\"\"$ is $\"\"$ .