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Please show all work, with detailed steps on how the answer is found. | Consider a broadband Butterworth bandpass filter with a lower cutoff frequency of 450 Hz and an upper cutoff frequency of 4000 Hz. The passband gain of the filter is 20 dB. The gain is down at least 20 dB at 180 Hz and 10 kHz. Select the correct expression for the scaled transfer function for the filter. O H'(s) 53 OH'(s) 10.0(80004)3,3 (s+900+)(32+900+s+8.10x1072)(s+80004)(32+80004s+6.40x1072) 10.0(80001)333 (s+900+)(s2 +900+s+6.40x10*72)(s+8000T) (s2 +80004s+8.10x102) 10.0(8000x)3 93 (s+900+) (92 +80007s+8.10x102)(s+80004) (92-90075+6.40x1072) H'(s) (8000+)3 53 H'(s) = (s+900+) (s2 +9007s +6.40x10772)(s+80007) (s2 +80004s+8.10x10) (80001) 353 H'(s) = (s+900+)(s2 +9007s+8.10x1072)(s+80004) (s2 +80007s+6.40x1072) (80001) 353 O H'(s) (s+900+)(s2 +80002s+8.10x10r)(s+8000T) (s2 +900+s+6.40x1072)