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 Find an equation of the sphere that passes through the point (7,4,9) and has center (4,5,5)\text { Find an equation of the sphere that passes through the point } ( 7 , - 4,9 ) \text { and has center } ( - 4,5 , - 5 ) \text {. }

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 Find an equation of the sphere that passes through the point (7,4,9) and has center (4,5,5)\text { Find an equation of the sphere that passes through the point } ( 7 , - 4,9 ) \text { and has center } ( - 4,5 , - 5 ) \text {. }


Definitions:

Optimal Distinctiveness

People strive to achieve a balance between conflicting motives for inclusiveness and separateness, expressed in groups as a balance between intragroup differentiation and intragroup homogenisation.

Social Mobility

The ability for individuals or families to move up or down the socioeconomic ladder within a society.

Metacontrast Principle

A phenomenon in social identity and group behavior, where contrast between in-group and out-group members is maximized in the perceivers' mind.

Extended Contact Effect

The reduction of prejudice through indirect relationships, wherein knowing a member of an in-group has a friends in an out-group can lead to more positive attitudes towards that out-group.

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