Question: Let $F$ be a smooth function on $[1,2]$. Suppose that the following quadrature formula: $$ Vint_{1}^{2} f(x) dx approx a f(1) + f(2)+c f^{prime} (1)

Let $F$ be a smooth function on $[1,2]$. Suppose that the

Let $F$ be a smooth function on $[1,2]$. Suppose that the following quadrature formula: $$ Vint_{1}^{2} f(x) dx \approx a f(1) + f(2)+c f^{\prime} (1) $$ has the highest degree of precision, then the constants $a, b$ and $c$ are: $a=5 / 6, b=1 / 6, c=1 / 3$ $a=-1 / 2, b=3 / 2, CE-1 / 6$ $a=1 / 2, b=1 / 2, C=-1 / 12$ $a=2 / 3, b=1 / 3, c=1 / 6$ SP.SD.460

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