We have discussed five methods by which we can find an approximation to the $s-$domain system. Use these five methods $($listed below$)$ to find five different discrete transfer functions $H(z)$ for the following system with $T_s=0\mathrm{.}01sec.$

$H(s)=\frac{1}{s+5}$

The impulse invariance method

The step invariance method

The forward difference method

Simplification of $H(z)=\frac{N(z)}{D(z)}$

The backward difference method

The bilinear Transformation