Consider a differential equation $$\frac{{{\text{dy}}\left( {\text{x}} \right)}}{{{\text{dx}}}} - {\text{y}}\left( {\text{x}} \right) = {\text{x}}$$    with the initial condition y(0) = 0. Using Euler's first order method with a step size of 0.1, the value of y(0.3) is

What is the cube root of 1468 to 3 decimal places?

Torque exerted on a flywheel over a cycle is listed in the table. Flywheel energy (in J per unit cycle) using Simpson's rule is

Angle (degree)	0	60	120	180	240	300	360
Torque (Nm)	0	1066	-323	0	323	-355	0

Roots of the algebraic equation x³ + x² + x + 1 = 0 are

In the Newton-Raphson method, an initial guess of x₀ = 2 is made and the sequence x₀, x₁, x₂ ... is obtained for the function 0.75x³ - 2x² - 2x + 4 = 0
Consider the statements
I. x₃ = 0.
II. The method converges to a solution in a finite number of iterations.
Which of the following is TRUE?