Find $x(0.150)$ from the following data using Lagrange's interpolatin…

Previous year question for Numerical Methods & Transform Calculus.

Question

Find $x(0.150)$ from the following data using Lagrange's interpolating formula

\begin{tabular}{|c|c|c|c|c|}

\hline

$x$ & $0.10$ & $0.15$ & $0.20$ & $0.25$ \\

\hline

$y$ & $0.200$ & $0.300$ & $0.500$ & $0.600$ \\

\hline

\end{tabular}