Q$.4$

$(10)$

A causal and stable LTI system has the system function $\backslash ($ H$($s$)=\backslash$frac$\{5$ s$+10\}\{$s$^\{2\}+15$ s$+50\}\backslash ).$

a$)(2)$ Use integrators to implement the system according to the given polynomial form.

b$)(2)$ Express the system function in factored form.

c$)(2)$ Use integrators to implement the system according to the factored form.

d$)(2)$ Express the system function in partial fraction form.

e$)(2)$ Use integrators to implement the system according to the partial fraction form.