If $y = x^3 + 5$ and $x$ changes from $3$ to $2.99$,then the approximate change in $y$ is

The approximate value of $\log _{10} 998$ is (given that $\log _{10} e=0.4343$ )

If $y = (1 + \alpha + \alpha^2 + \ldots) e^{nx}$,where $\alpha$ and $n$ are constants,then the relative error in $y$ is

The approximate value of $x^3-2x^2+3x+2$ at $x=2.01$ is

The approximate value of $\sqrt[3]{730}$ obtained by the application of derivatives is

Consider the following statements:
$A$ is the relative error in the area of a square when the relative error in its side is $0.4$.
$B$ is the relative error in the volume of a sphere when the relative error in its radius is $0.3$.
$C$ is the relative error in the surface area of a closed cylinder whose height is equal to its radius, when the relative error in its height is $0.2$.
$D$ is the approximate error in $y = x^2 + x - 3$ when $x = 2$ and $\delta x = 0.1$.
The ascending order of the values of errors in these statements is: