(a) Using Newton's interpolation formula, compute the value of $\sqrt…
Previous year question for Mathematics-III.
Question
(a) Using Newton's interpolation formula, compute the value of $\sqrt{15.5}$, given that $\sqrt{5} = 2.236, \sqrt{10} = 3.162, \sqrt{15} = 3.872, \sqrt{20} = 4.472, \sqrt{25} = 5$.
(b) Using Lagrange's interpolation formula fit a polynomial to the data:
\begin{tabular}{c c c c c}
x: & 0 & 1 & 3 & 4 \\
f(x): & -12 & 0 & 12 & 24
\end{tabular}
- Year: 2022
- Subject: Mathematics-III