Find the Center and Radius of the Sphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

question 33

Multiple Choice

Find the center and radius of the sphere. $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } - 4 x + 4 - 8 y = 0$

• A) \(C ( 2,2,4 ) ; r = \sqrt { 2 }\)
• B) \(C ( 0,2,4 ) ; r = 4\)
• C) \(C ( 2,4,0 ) ; r = \sqrt { 2 }\)
• D) \(C ( 2,4,0 ) ; r= 2\)
• E)none of these

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Definitions:

Self-Control

Controlling one's emotional responses, cognitive processes, and actions in situations presenting temptations and spontaneous impulses.

Rationalization

In psychoanalytic theory, the defense mechanism that produces a seemingly logical rationale for an impulse or thought that otherwise would cause anxiety.

Defense Mechanism

Psychological strategies used unconsciously to protect oneself from anxiety arising from unacceptable thoughts or feelings.

Psychosexual Stages

A Freudian theory describing how personality develops through five stages from infancy to adulthood, centered on sexual pleasure from specific body areas.