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

The time $T$ of oscillation of a simple pendulum of length $L$ is governed by $T=2 \pi \sqrt{\frac{L}{g}}$,where $g$ is constant. The percentage by which the length must be changed in order to correct an error of loss equal to $2$ minutes of time per day is

The approximate value of $(3.978)^{3/2}$ is

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

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

The radius and the height of a right circular solid cone are measured as $7 \text{ ft}$ each. If there is an error of $0.002 \text{ ft}$ for every foot in measuring them,then the error in the total surface area of the cone (in $\text{sq. ft}$) is: