$5.$a $(15$ points$)$ Separate the transfer function into the standard Bode plot elements of constant, first order pole, integrator, differentiator, first order zero $($identify minimum phase or nonminimum phase$),$ second order pole, second order zero $($identify minimum phase or nonminimum phase$).$ Label each term with its element identification.

$G(s)=\frac{(s+10)(-s+20)}{s(s+8)(s^2+4s+8)}$

$5.$b $(15$ points$)$ Find all of the break frequencies and turning frequencies needed to produce the Bode plot straight line approximation.

$5.$c $(5$ points$)$ Find the slope of the Bode magnitude plot straight line approximation at $7ra\frac{d}{s}.$ Note: you should not have to create the Bode plot to determine this. Hint: rely on your break frequency information from $5.$b$.$ BOX YOUR ANSWER.