The complete set of values of $x$ for which the function $f(x) = 2 \log_e(x-2) - x^2 + 4x + 1$ is increasing is:

The decomposition of $H_2O_2$ can be prevented by the addition of which of the following?

Assertion $(A)$: Rapidly changing temperatures can be measured by thermocouples. Reason $(R)$: The thermal capacity of the junction of a thermocouple is very small.

Evaluate $\int_{-2}^1 f(x) dx$,where $f(x)= \begin{cases} 1-2x, & x \leq 0 \\ 1+2x, & x > 0 \end{cases}$

Black Jack is an ore of

Which of the following statement$(s)$ is/are true?
$A.$ An organism represents/occupies a place or position in the system of classification.
$B.$ One specific epithet may be present in different genus representing different species.
$C.$ Human belongs to $Homo$ species.
$D.$ Animals,mammals,and dogs represent the taxa at the same level.