Find the approximate value of $(15)^{\frac{1}{4}}$.

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

If the increase in the side of a square is $6 \%$,then the approximate percentage increase in its area is: (in $\%$)

$A$ point on the hypotenuse of a triangle is at distances $a$ and $b$ from the sides of the triangle. Show that the minimum length of the hypotenuse is $(a^{\frac{2}{3}}+b^{\frac{2}{3}})^{\frac{3}{2}}$.

If there is an error of $\pm 0.04 \text{ cm}$ in the measurement of the diameter of a sphere,then the approximate percentage error in its volume,when the radius is $10 \text{ cm}$,is

For a given function $y=f(x)$,$\delta y$ denotes the actual error in $y$ corresponding to an actual error $\delta x$ in $x$,and $dy$ denotes the approximate value of $\delta y$. If $y=f(x)=2x^2-3x+4$ and $\delta x=0.02$,then the value of $\delta y - dy$ when $x=5$ is