AE-JE Foundation EE : Engineering Mathematics Quiz - 5

Which of the following numerical methods are always reliable and always converge on a solution?

i. Bisection

ii. Regula-falsi

iii. Secant

iv. Newton-Raphson

The iteration step in order to solve for the cube root of a given number ‘5’ using the Newton Raphson’s method is

The integral

is estimated numerically using three alternative methods namely the rectangular, trapezoidal and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?

The numerical integration technique used for any number of sub-intervals is:

For the integral,  is evaluated by both trapezoidal and Simpson’s rule using four sub intervals. The modulus of the difference of the value obtained from two method is

If x₀ i.e., initial root of equation x² – 3x + 1 = 0 is 1. Then after one iteration, root will be _______ using N-R method.

If x₀ = 0, y₀ = 1, and h = 0.01. Then for f(x, y) = (–y), the value of y(0.01) using Euler’s method is