Find the Average Value of the Function F Over the Given

question 87

Multiple Choice

Find the average value of the function f over the given region.
- $f ( x , y ) = e ^ { x ^ { 2 } }$ over the region bounded by $y = 6 x , y = 8 x , x = 0$ , and $x = 1$ .

• A) \(\frac { e - 1 } { 6 }\)
• B) \(\mathrm { e } - 1\)
• C) \(2 \mathrm { e } - 1\)
• D) \(\frac { 2 \mathrm { e } - 1 } { 36 }\)