If $f(x)$ is a polynomial function that passes through origin, and $g(x) = f'(x)$, then

A flat longwall panel is mined out at an area having subsidence factor $a$. The measured maximum subsidence on the surface is $S$ for a mining height of $m$. The subsidence is subcritical if

As per classification of mineral resources “reserve” means

If the sample statistic $\bar{X}$ is an unbiased estimator of the parameter $\mu$, then

The vector sum of all the external forces acting on a rigid body is expressed as $\sum F$ and the vector sum of moments of the external forces about a point is given as $\sum M$. The rigid body is in equilibrium if

For a regionalized variable $Z(x)$, at a lag distance $h$, the empirical semi-variogram $\gamma(h)$ is given by

The coefficient of variation of a dataset is defined as

In project planning, the activity durations are calculated by PERT and CPM techniques assuming

Respirable dust in an underground coal mine contains 4.5% free silica. As per the CMR 2017, the maximum allowable respirable dust concentration, in mg/m$^3$, in the mine air is

The purpose of rotating a whirling hygrometer in hygrometric survey is to