a) Describe Newton-Raphson algorithm to find the cube root of a posit…
Previous year question for Numerical Methods & Transform Calculus.
Question
a) Describe Newton-Raphson algorithm to find the cube root of a positive number $N$. Apply this method to compute the cube root of 18.
b) Using Taylor's method, find the approximate value of $y$ at $x = 0.1$ from $\frac{dy}{dx} = x^2 + y^2$ with $y(0) = 1$.
c) Using iteration method, find a real root of $x^3 + x^2 - 100 = 0$ correct to three decimal places.
- Year: 2018
- Subject: Numerical Methods & Transform Calculus