Numerical Methods - Study Mode
[#56] The iteration step in order to solve for the cube roots of a given number N using the Newton-Raphson's method is
Correct Answer
(B) $${{ ext{x}}_{{ ext{k}} + 1}} = frac{1}{3}left( {2{{ ext{x}}_{ ext{k}}} + frac{{ ext{N}}}{{{ ext{x}}_{ ext{k}}^2}}}
ight)$$
[#57] Equation e x - 1 = 0 is required to be solved using Newton's method with an initial guess x 0 = -1. Then, after one step of Newton's method, estimate x 1 of the solution will be given by
Correct Answer
(A) 0.71828
[#58] Match List-I with List-II and select the correct answer: List-I List-II a. Newton-Raphson method 1. Solving nonlinear equations b. Runge-Kutta method equations 2. Solving simultaneous linear equations c. Simpson's Rule equations 3. Solving ordinary differential d. Gauss elimination 4. Numerical integration 5. Interpolation 6. Calculation of Eigenvalues
Correct Answer
(C) a-1, b-3, c-4, d-2