Draw the approximate bode plot of the following transfer functions. show clearly the asymptotes of each approximate plot (magnitude and phase) and the frequencies where the asymptotes intersect. for each plot, you will need to show analytically how you derived each approximating asymptote. finally, when an asymptote represents a logarithmic increase (or decrease) you need to identify its numerical value (number of dbs/decade). 1 1. g(s) 2 1 2. g(s) (ts+1)2 1 3. g(s)= s(ts+1) s) =8+ a, where a > 0, 4 ws 8+wp where wp> w, > 0 5. g(s) wp 8+w (4 pts each) draw the approximate bode plot of the following transfer functions. show clearly the asymptotes of each approximate plot (magnitude and phase) and the frequencies where the asymptotes intersect. for each plot, you will need to show analytically how you derived each approximating asymptote. finally, when an asymptote represents a logarithmic increase (or decrease) you need to identify its numerical value (number of dbs/decade). 1 1. g(s) 1 2. g(s) (ts+1)2 3. g(s)= s(ts+1) a, where a > 0, 4. g(s)s s+@p where wp> ws> 0. 5. g(s) wp 8+w