The function $f ( x , y ) = c x ^ { 2 } + 5 y$ has an average value of 4 on the triangle with vertices at (0, 0), (0, 1)and (1, 0).Find the constant a.

Name: The function $f ( x , y ) = c x ^ { 2 } + 5 y$ has an average value of 4 on the triangle with vertices at (0, 0), (0, 1)and (1, 0).Find the constant a.
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The Answer of The function $f ( x , y ) = c x ^ { 2 } + 5 y$ has an average value of 4 on the triangle with vertices at (0, 0), (0, 1)and (1, 0).Find the constant a.

The Function f(x,y)=cx2+5yf ( x , y ) = c x ^ { 2 } + 5 yf(x,y)=cx2+5y

The Function $f ( x , y ) = c x ^ { 2 } + 5 y$