Identify and trace the conicoid y2 +z2 = x. Describe its sections by the planes x = 0, y = 0 and z = 0
Now we can see that our surface is spherical ellipsoid.
Denominators are equal. It means that our ellipsoid is not a ellipsoid of revolution.
Let , then
And let , then
and principal parabolas.
Let's look on sections.
...................Parabola with its axis along x - axis.
.................Parabola with its axis along x - axis.
Now we can see that our surface is spherical ellipsoid.
Denominators are equal. It means that our ellipsoid is not a ellipsoid of revolution.
Let , then
And let , then
and principal parabolas.
Let's look on sections.
...................Parabola with its axis along x - axis.
.................Parabola with its axis along x - axis.
...........It represents x- axis.
Thecurve is shown below:
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