(tco-8) a band-pass filter has fc1 = 5 khz and fc2 = 88 khz. calculate bandwidth (bw) and center frequency (fo) for this filter.

Bandwidth is the difference between the upper and lower frequencies in a continuous band of frequencies.

Mathematically can be expressed as,

The upper frequency is 88Hz and the lower frequency is 6, therefore the Bandwidth would be,

The center frequency is given on the basis of the square root of the multiplication of the two reference frequencies, then,

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when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min