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Describe the surface represented by the equation z = 2 - y².

1 Answer

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Final answer:

The equation z = 2 - y² represents a parabolic cylinder in three-dimensional space.

Step-by-step explanation:

The equation z = 2 - y² represents a surface in three-dimensional space.

The equation can be rewritten as z + y² = 2, which describes a parabolic cylinder.

The parabolic cylinder opens upward along the z-axis and has its vertex at the point (0, 0, 2).

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User Ian Fellows
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