Generate a Routh Table and determine how many roots of the polynomial are in the right half- plane, in the left half-plane, and on the jw-axis for the following transfer functions. 3. а. G(s) s4 – 3s3 – 3.75s² – .75s +1 b. 2(s + 2) s5 + 12s4 – 27s³ – 734s²2 – 2424s – 1728 G(s) = %3D C. 3s2 + 7s + 1 G(s) = s6 + 4s5 – 9s4 – 76s3 – 380s? - 600s – 500

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3.
Generate a Routh Table and determine how many roots of the polynomial are in the right half-
plane, in the left half-plane, and on the jw-axis for the following transfer functions.
а.
2
G(s)
s4 – 3s3 – 3.75s² – .75s +1
b.
2(s + 2)
G(s)
%3D
s5 + 12s4 – 27s³ – 734s² – 2424s – 1728
С.
3s? + 7s + 1
G(s)
s6 + 4s5
9s4 – 76s3 – 380s² – 600s – 500
Transcribed Image Text:3. Generate a Routh Table and determine how many roots of the polynomial are in the right half- plane, in the left half-plane, and on the jw-axis for the following transfer functions. а. 2 G(s) s4 – 3s3 – 3.75s² – .75s +1 b. 2(s + 2) G(s) %3D s5 + 12s4 – 27s³ – 734s² – 2424s – 1728 С. 3s? + 7s + 1 G(s) s6 + 4s5 9s4 – 76s3 – 380s² – 600s – 500
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