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Find the Average Value of the Function F Over the Given

Question 274

Multiple Choice

Find the average value of the function f over the given region.
- f(x,y) =1xyf ( x , y ) = \frac { 1 } { x y } over the square 1≤x≤3,1≤y≤31 \leq x \leq 3,1 \leq y \leq 3 .


A) (ln⁡32) 2\left( \frac { \ln 3 } { 2 } \right) ^ { 2 }
B) (ln⁡33) 2\left( \frac { \ln 3 } { 3 } \right) ^ { 2 }
C) ln⁡39\frac { \ln 3 } { 9 }
D) ln⁡34\frac { \ln 3 } { 4 }

Correct Answer:

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