Instruction: Modify the Octave code we developed $($in the relevant MAT$212$ Tutorial$)$

for the Lagrange interpolating polynomial to answer this question. Your code must make

use of the format long command and $4$ decimal place rounding.

Let $P_9(x)$ be the $9$th degree Lagrange interpolating polynomial for the data tabulated above.

Then the approximation $f(17\mathrm{.}5)$~~$P_9(17\mathrm{.}5)$ is closest to:

A$)1\mathrm{.}2453$

B$)1\mathrm{.}2458$

C$)1\mathrm{.}2463$

D$)1\mathrm{.}2468$

E$)1\mathrm{.}2473$