(a) Using Lagrange interpolation formula, evaluate $f(10)$ from the f…
Previous year question for Numerical Methods & Transform Calculus.
Question
(a) Using Lagrange interpolation formula, evaluate $f(10)$ from the following data :
$f(5) = 12, f(6) = 13, f(9) = 14, f(11) = 16$.
(b) Using Iteration method, find a real root of $x^3 + x - 1 = 0$ correct to three decimal places.
(c) Evaluate $\int_{0}^{0.6} e^{-x^2} dx$ using Simpson's $1/3$ rule by taking 7 ordinates.
- Year: 2022
- Subject: Numerical Methods & Transform Calculus