The population of a city grows at the annual rate of $3 \%$. What percentage increase is expected in $5 \text{ yr}$ (in $\%$)?

The approximate value of $y=(1.01)^3+2(1.01)^{\frac{3}{2}}+5$ is

The time period $T$ of a simple pendulum of length $l$ is given by $T=2 \pi \sqrt{\frac{l}{g}}$. If the length is increased by $2 \%$,then the approximate change in the time period is:

What is the value of $\sqrt[3]{26}$ corrected up to three decimal places?

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 the function $f(x) = x^{3} + 5x^{2} - 7x + 10$ at $x = 1.1$ is (in $.6$)