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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) =ex2f ( x , y ) = e ^ { x ^ { 2 } } over the region bounded by y=6x,y=8x,x=0y = 6 x , y = 8 x , x = 0 , and x=1x = 1 .


A) e−16\frac { e - 1 } { 6 }
B) e−1\mathrm { e } - 1
C) 2e−12 \mathrm { e } - 1
D) 2e−136\frac { 2 \mathrm { e } - 1 } { 36 }

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