Find the average value of the function 
over the plane region 
. 
and 
is the triangle with vertices 
, 
and 
.
Definitions:
Individualism
An ideology that supports the preference of individual autonomy over the constraints of collective or governmental intervention.
Collectivism
A socio-cultural principle that prioritizes group goals over individual ones, emphasizing community, cooperation, and interdependence.
Personal Characteristics
Attributes or features that define an individual, including traits such as personality, attitudes, and abilities.
Individualism
A theory advocating for individual action freedom over group or governmental authority.
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