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OpenStudy (anonymous):
Let S be the surface with equation 2x^2 + y^2 - 4x + 2y + z + 1 = 0 What are the vertex, axis of symmetry, and traces on the xy, xz, and yz planes. Name the surface.
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OpenStudy (irishboy123):
its an elliptic paraboloid. look at the single z term and imagine it wasn't there. what would you have in just 2-d. does that give you a start?
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