A certain voltage is $+12\mathrm{.}6$ V for $29\mathrm{.}2$ ms and $-12\mathrm{.}6$ V for the succeeding $29\mathrm{.}2$ ms and continues oscillating back and forth between these two values at $58\mathrm{.}4$ ms intervals.

The voltage is present across a $36$ resistor.

Over any $58\mathrm{.}4$ ms interval, find:

$($a$)$ the maximum value of the voltage

$($b$)$ the average value of the voltage

$($c$)$ the average value of the resistor current

$($d$)$ the maximum value of the absorbed power

$($e$)$ the average value of the absorbed power.