The function $f(x) = \tan^{-1}(\sin x + \cos x)$ is an increasing function in the interval.....

The minimum value of $\dfrac{\log x}{x}$ in the interval $(2, \infty)$ is

The approximate value of $(0.007)^{\frac{1}{3}}$ is

The surface area of a spherical ball is increasing at the rate of $4\pi\ \text{cm}^2$/second. The rate at which the radius is increasing when the surface area is $16\pi\ \text{cm}^2$ is