1. The problem statement, all variables and given/known data
f(x,y) = ##e^{x+y}## D is the triangle vertices (0,0), (0,1) , (1,0)
2. Relevant equations
##f(x,y)_{avg}=\frac{\iint_D f(x,y) dA}{\iint_D dA}##
3. The attempt at a solution
##\iint_D dA \Rightarrow \int_{0}^{1}\int_{0}^{-y+1} dxdy = \frac{1}{2}##
##\iint_D f(x,y) dA \Rightarrow \int_{0}^{1}\int_{0}^{-y+1} e^{x+y}dxdy ##
##\int_{0}^{1} e - e^y dy = 1##
##f(x,y)_{avg} = \frac{1}{1/2} = 2##
this doesn't seem correct.
f(x,y) = ##e^{x+y}## D is the triangle vertices (0,0), (0,1) , (1,0)
2. Relevant equations
##f(x,y)_{avg}=\frac{\iint_D f(x,y) dA}{\iint_D dA}##
3. The attempt at a solution
##\iint_D dA \Rightarrow \int_{0}^{1}\int_{0}^{-y+1} dxdy = \frac{1}{2}##
##\iint_D f(x,y) dA \Rightarrow \int_{0}^{1}\int_{0}^{-y+1} e^{x+y}dxdy ##
##\int_{0}^{1} e - e^y dy = 1##
##f(x,y)_{avg} = \frac{1}{1/2} = 2##
this doesn't seem correct.
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