Numerical Analysis/Neville's algorithm quiz

<quiz display=simple> {What is the correct form of Neville's Algorithm? |type="()"} + $P_{i,j}(x)=\frac{(x_j-x)P_{i,j-1}(x)+(x-x_i)P_{i+1,j}(x)}{x_j-x_i}$. - $P_{i,j}(x)=\frac{(x_j+x)P_{i,j-1}(x)+(x-x_i)P_{i+1,j}(x)}{x_j+x_i}$. - $P_{i,j}(x)=\frac{(x_j-x)P_{i,j+1}(x)+(x-x_i)P_{i-1,j}(x)}{x_j-x_i}$.

{When is Neville's Algorithm most useful? |type="()"} - When we only want the coefficients of the polynomial. + When we only want the interpolated value of the polynomial. - When we want both the coefficients and the interpolated value of the polynomial.

{Approximate $\sqrt{x}$ at $f(6)$ using $x_0=1,x_1=4,$ and $x_2=9$. |type="()"} + 2.071429 - 2.145654 - 2.234232

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