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

question 100

Short Answer

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

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Definitions:

Secure Self-esteem

A stable and positive evaluation of oneself, characterized by confidence and a sense of security in one's worth and abilities, regardless of external validation.

Free Association

A psychoanalytic technique where the patient speaks freely to uncover repressed thoughts and feelings.

Better-than-average Effect

A cognitive bias where individuals overestimate their own qualities and abilities relative to others.

Self-serving Bias

A common tendency for individuals to attribute positive outcomes to their own character but attribute negative outcomes to external factors.