\"\"

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The function is \"\"

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(a) Type of curve and symmetry:

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The equation is in the form of \"\", where \"\" and \"\".

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The function represents leminiscate.

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Then, Replace \"\" is \"\"

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Substitute \"\" in the function.

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\"\"

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The function is symmetric.

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\"\"

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(b)Maximum \"\"-value and zeros.

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The equation \"\" is undefined But the domain of \"\"

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The graph point of interval is \"\"

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Therefore the function has maximum  point.

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Then \"\" value is \"\" when \"\".

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(c) Graph the polar equation.

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Graph the polar equation \"\".

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Draw a table considering points in the interval \"\".

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

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Draw polar coordinate plane.

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Plot the points obtained in the table.

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Graph the polar equation \"\"

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\"\"

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\"\"

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Graph of the polar equation \"\" is

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\"\"