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The following is a conic section with a focus at the origin. Please classify the conic section and provide the polar and rectangular equations.

The following is a conic section with a focus at the origin. Please classify the conic section and provide the polar and rectangular equations. 1) eccentricity: 0.5, vertices: (0, 4/7), (0, -4) 2) eccentricity: 0.7, vertices: (14/19, 0), (-14/5, 0)

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