H(s) = 100s^2(s+90)(s+1)^3 / 10s(s+3)(s^2+60s+400)
I need help on the calculations and graphs. How do it look like on magnitude and phase bode plot ?

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You can plot magnitude and phase bode plot using bode command in MATLAB.
s = tf('s');
H = ((100*s^2)*(s+90)*(s+1)^3) / (10*s*(s+3)*(s^2+60*s+400));
bode(H)

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