Problem $7-$ BONUS $(5$ pts$)$

$H(s)=10*\frac{s+10}{s^2+s}$

Rewrite the network function as a product of recognizable $1$st order responses.

Name each response $($gain$,$ LP$,$ HP$,$ diff., integrator, augmented diff.$)$ and provide a numeric value for the respective critical frequency.

Clue: Integrators and differentiators are uniquely specified by their "unity gain" frequency $-$ the frequency at which the magnitude response becomes $1$ or $1$ dB $.$

Sketch the corresponding magnitude response on a dB$-$per$-$decade $($log$-$log$)$ scale.