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Find the Average Value of the Function F Over the Given

Question 396

Multiple Choice

Find the average value of the function f over the given region.
- f(x,y) =1(xy) 2f ( x , y ) = \frac { 1 } { ( x y ) ^ { 2 } } over the square 1≤x≤4,1≤y≤41 \leq x \leq 4,1 \leq y \leq 4 .


A) 14\frac { 1 } { 4 }
B) ln⁡44\frac { \ln 4 } { 4 }
C) ln⁡416\frac { \ln 4 } { 16 }
D) 116\frac { 1 } { 16 }

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