The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and around the x-axis. Create the equation for the surface. A)If the resulting equation does not qualify as a quadric surface based on the general definition, explain in a few clearly written sentences, why it does not and you are done. B) If the resulting equation qualifies as a quadric surface, write the equation in standard form, state the exact name and identify the constants a, b and c as needed.

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The 2D curve 4x2 - y2 = 3, generates a surface in 3D by rotationing it out of the xy-plane and around the x-axis. Create the equation for the surface.

A)If the resulting equation does not qualify as a quadric surface based on the general definition, explain in a few clearly written sentences, why it does not and you are done.

B) If the resulting equation qualifies as a quadric surface, write the equation in standard form, state the exact name and identify the constants a, b and c as needed.

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