If the side of a cube is increased by $$5 \%$$, then the surface area of a cube is increased by

The maximum value of $$\frac{\log _e x}{x}$$, if $$x>0$$ is

The interval in which the function $$f(x)=x^3-6 x^2+9 x+10$$ is increasing in

The sides of an equilateral triangle are increasing at the rate of $$4 \mathrm{~cm} / \mathrm{sec}$$. The rate at which its area is increasing, when the side is $$14 \mathrm{~cm}$$