The value of $\frac{d^2}{dx^2} (4x^3 - 3x^2 + 2x + 1)$ is ..... (in $x - 6$)

$A$ particular straight line passes through the origin and a point whose abscissa is double the ordinate of the point. The equation of such a straight line is:

If $y = x + \frac{1}{x}$,then

$\int \frac{3}{(2-x)^2} \, dx$ is equal to $:-$

The greatest value of the function $-5 \sin \theta + 12 \cos \theta$ is

The greatest value of the function $-5\, \sin\, \theta + 12\, \cos\, \theta$ is