Area bounded by the curve $$y = {x^2}$$ and the lines $$x=4$$ and $$y=0$$ is given by

The order of error in the simpson's rule for numerical integration with a step size $$h$$ is

Solve the initial value problem
$${{{d^2}y} \over {d{x^2}}} - 4{{dy} \over {dx}} + 3y = 0$$ with $$y=3$$ and
$${{dy} \over {dx}} = 7$$ at $$x=0$$ using the laplace transform technique?

A mass of 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in. The pin reactions at A on the bar AB are