Question
Use traces to sketch and identify the surface.$ 3x^2 - y^2 + 3z^2 = 0 $
Step 1
Traces are the curves obtained by intersecting the surface with planes parallel to the coordinate planes. For the x-trace, we set y = z = 0, which gives us 3x^2 = 0, or x = 0. This is a point on the x-axis. For the y-trace, we set x = z = 0, which gives us -y^2 Show more…
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