The approximate value of $\frac{1}{(2.002)^2}$ 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:

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

Using differentiation,the approximate value of $f(x) = x^2 - 2x + 1$ at $x = 2.99$ is ....

If the radius of a spherical balloon increases by $0.1 \%$,then its volume increases approximately by (in $\%$)

Using differentials,find the approximate value of $(33)^{-\frac{1}{5}}$.