graph each equation identify the conic section. any lines of symmetry, and the domain and range. x^2+y^2=4
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Note that this just produces three parametric equations:
In the
plane, this is just he parametric equation for an ellipse (as a function of u). The z is simply a linear function.
The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.
In the
The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.
