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Show That the Average Value Of f(x,y)=ax+byf ( x , y ) = a x + b y

Question 71

Essay

Show that the average value of f(x,y)=ax+byf ( x , y ) = a x + b y over R={(x,y)∣−1≤x≤1,−1≤y≤1}R = \{ ( x , y ) \mid - 1 \leq x \leq 1 , - 1 \leq y \leq 1 \} is 0 for all values of a and b.

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