Question

The Newton-Raphson Method

A) uses the slope-intercept form as a finite-difference approximation
B) requires f (x) and f' (x) evaluations
C) requires one initial guess: x₀
D) requires f (x) evaluations only
E) requires two initial guesses: x₀ and x₁

Answer 1

The Newton-Raphson Method requires f(x) and f'(x) evaluations and one initial guess to find the roots of a nonlinear equation.

Step-by-step explanation:

The Newton-Raphson Method requires f(x) and f'(x) evaluations. It is used to find the roots of a nonlinear equation. The method requires one initial guess: x₀. It iteratively refines the initial guess using the slope of the function and the function value, leading to a more accurate approximation of the root.