Problem 2 Let T be a 2-simplex in R2 with midpoints aij, 1...

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Problem 2 Let T be a 2-simplex in R2 with midpoints aij, 1<i<j≤ 3 of the sides. Define E(0) = (x) dx - TΣ (aij), 3 1<i<j≤3 where |T| denotes the area of T. Show that E() = 0, Vo P₂(T) but not for € P3(T). Problem 2 Let T be a 2-simplex in R2 with midpoints aij, 1<i<j≤ 3 of the sides. Define E(0) = (x) dx - TΣ (aij), 3 1<i<j≤3 where |T| denotes the area of T. Show that E() = 0, Vo P₂(T) but not for € P3(T).