Find the average value of the function 
over the plane region 
. 
and 
is the triangle with vertices 
, 
and 
.
Definitions:
Counterculture
A culture with values and norms that differ substantially from those of the mainstream society, often expressing opposition to dominant cultural norms.
Subculture
A specific segment of society that stands out due to its unique interests or beliefs, which contrast with the wider cultural values.
Ideal Culture
The values, norms, and behaviors that a society or group considers to be desirable, good, and important.
Cultural Diffusion
The spread of cultural beliefs, social activities, and norms from one society to another through direct or indirect contact and exchange.
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