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An Ellipsoid Is Created by Rotating the Ellipse 4x2+y2=164 x ^ { 2 } + y ^ { 2 } = 16

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An ellipsoid is created by rotating the ellipse 4x2+y2=164 x ^ { 2 } + y ^ { 2 } = 16 about the xx -axis. Find the equation of the ellipsoid.

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Definitions:

Self-Identity Stage

A phase in development where individuals explore and solidify their sense of self and personal identity.

Extension-of-Self

The concept of external objects being perceived as part of one's identity or self.

Self-Esteem

The degree to which an individual values themselves, which can influence their motivation, behavior, and emotional wellbeing.

Study of Values

The examination of people's beliefs about what is important in life, which can influence their behavior and decision-making processes.

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