The approximate value of $(1.0002)^{3000}$ is

If the radius of a sphere is measured as $9 \ cm$ with an error of $0.03 \ cm$, then find the approximate error in calculating its surface area. (in $\pi \ cm^2$)

The approximate value of $\cot ^{-1}(1.001)$ is

Find the approximate value of $(0.999)^{\frac{1}{10}}$.

Electric current is measured by a tangent galvanometer, where the current is proportional to the tangent of the angle $\theta$ of deflection. If the deflection is read as $45^{\circ}$ and an error of $1 \%$ is made in reading it, then the percentage error in the current is:

If $y=x^{4}-10$ and if $x$ changes from $2$ to $1.99$,what is the change in $y$?