Which numerical method is commonly used to find the

Solution

The Newton-Raphson method is an iterative numerical technique used to find the roots of nonlinear equations. It works by approximating the solution through successive iterations, based on the function’s derivative. It is widely used due to its fast convergence properties, especially when the initial guess is close to the actual root. Simpson’s Rule : Used for numerical integration, not for finding roots. Trapezoidal Rule : Another numerical integration technique, not for root finding. Monte Carlo Simulation : Used for probabilistic modeling and statistical simulation, not root finding. Least Squares Method : A technique used to minimize the sum of squared differences, often used in regression analysis, not root finding.