Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 8 y + 2 z = 19$

question 59

Essay

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } + 8 y + 2 z = 19$

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Definitions:

Projective Test

A psychological assessment tool that involves interpreting ambiguous stimuli, thought to reveal hidden emotions and internal conflicts.

Athletic Incompetence

A perceived or actual lack of skill in physical sports activities.

Pessimistic Attributional Style

A tendency to habitually attribute negative events to stable, global, and internal causes, potentially leading to depressive symptoms.

Intellectual

Relating to the intellect; involving deep cognitive thinking skills, understanding, and reasoning.