Find the Average Value of the Function F Over the Given

Multiple Choice

Find the average value of the function f over the given region.
- $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \mathrm { e } ^ { 10 \mathrm { x } }$ over the square $0 \leq \mathrm { x } \leq \frac { 1 } { 10 } , 0 \leq \mathrm { y } \leq \frac { 1 } { 10 }$ .

A) $2 \mathrm { e } - 1$
B) e - 1
C) $\frac { 2 \mathrm { e } - 1 } { 100 }$
D) $\frac { \mathrm { e } - 1 } { 10 }$