The mixer and preamplifier are usually combined into one unit.
What did you mean by "filter"? I think you mean the same as a graphic equalizer.
What I spelled out in my first reply; high-pass filter, low-pass filter, and then three bandpass filters - is what you need for both the graphic equalizer, and the spectrum analizer VU meter.
Are you going to duplicate that kind of circuit for both?
Since this is an assignment from a professor/instructor/teacher, this thread should be moved to the "Homework Help" section.
We can't do your homework for you. If you are really stuck, we can point you in some direction - but you will have to figure it out for yourself.
Thanks for this helpful link.
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by Jake Hertz