Numerical Methods - Interpolation

Values of y for different values of x are tabulated below. If a second-degree interpolating polynomial P_2(x) is used to represent y, the value of P_2(0) is ________ (rounded off to the nearest integer).

Consider the data of $f(x)$ given in the table. | $i$ | 0 | 1 | 2 | |---|---|---|---| | $x_i$ | 1 | 2 | 3 | | $f(x_i)$ | 0 | 0.3010 | 0.4771 | The value of $f(1.5)$ estimated using second-order Newton's interpolation for...

The value of the function f(x) is given at n distinct values of x and its value is to be interpolated at the point x*, using all the n points. The estimate is obtained first by the Lagrange polynomial, denoted by $I_L$,...