please show work and explain reasoning. For characteristic equations given Parts

Question

please show work and explain reasoning.

For characteristic equations given Parts (A) (B) set up Routh Array, answer question on absolute stability. ( are all poles on left hand plane) S3 + 4S2 + 8s+ 12 = 0 Absolutely stable ( yes, no)? circle one 2s3 + 4s2 + 4s +12 = 0 Absolutely stable ( yes, no)? circle one s3 + 4s2 - 8s +12 = 0 One question regarding equation (C). Is it necessary' to set up the Routh array to predict if the system with this characteristic equation is absolutely stable? ( yes, no) circle one. OK you inay just guess bul belter if you Know why.

Explanation / Answer

1. Solution :-

-2.685 ; -0.65749+2.0092i :-0.65749-2.0092i

=>not absolute

2.solution:=

-2.278; 0.13908+1.616i ; 0.13908-1.61i

==>not absolute

3.-5.753 ; 0.87655+1.147i ; 0.87655-1.147i

==>not absolute

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