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Identify the surface defined by the following equation. x+y2+6z+10x=-24 Select the correct choice below and fill in the answer boxes to complete your choice.

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Identify the surface defined by the following equation. x+y2+6z+10x=-24 Select the correct choice below and fill in the answer boxes to complete your choice. OA. The surface defined by the equation is a hyperboloid of two sheets centered at () and whose traces in the xy-plane are ellipses. The shortest distance between the tw OB. The surface defined by the equation is a hyperboloid of one sheet centered at (.) and is centered around the z-axis. In the xy-plane, the trace has length in the x-di length in the y-direction. C. The surface defined by the equation is an elliptic cone centered at (..) and whose traces in the xy-plane are ellipses. OD. The surface defined by the equation is an ellipsoid centered at (.) that has length in the x-direction, in the y-direction, and in the z-direction.

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