Classify the Surface $23 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 12 y + 12 z = 0$

question 49

Multiple Choice

Classify the surface. $23 x ^ { 2 } + y ^ { 2 } - z ^ { 2 } - 12 y + 12 z = 0$

• A) A hyperboloid of one sheet with center \(( - 8,0,6 )\) and axis parallel to the z-axis.
• B) A cone with axis parallel to the z-axis and vertex \(( 0,6,6 )\) .
• C) A circular paraboloid with vertex \(( 0,8,6 )\) and axis the z-axis.

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Definitions:

Secondary Deviance

Deviant behavior that occurs as a response to society's reaction to the individual's primary deviance, potentially leading to a self-fulfilling prophecy of continued deviance.

Stigmatizing Label

Terms or designations that attach negative stereotypes to individuals or groups, often leading to discrimination or social exclusion.

Deviant Career

A sequence of movements and patterns in an individual's life that involve increasing commitment to deviant behavior.

Labeling Theories

A perspective in sociology that suggests the labels or definitions applied to individuals or groups significantly affect both their self-identity and the perceptions others have of them, thus influencing their behaviors in society.