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Question H: Let’s keep using the AM-radio style signal from Question G: f(x) = sin(12x) * sin(x)...

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Question

Advance Math

Question H:

Let’s keep using the AM-radio style signal from Question G: f(x)= sin(12x) * sin(x) on [0,2*pi].

It’s okay to use Wolfram Alpha or Desmos to do the followingintegrals.

i)

Integral

Numeric result

(1/pi)*integral of f(x)*cos(1x) dx from 0 to 2pi

(1/pi)*integral of f(x)*cos(2x) dx from 0 to 2pi

Etc., with cos(3x)

...cos(4x)...

...cos(5x)...

...cos(6x)...

...cos(7x)...

...cos(8x)...

...cos(9x)...

...cos(10x)...

...cos(11x)...

...cos(12x)...

...cos(13x)...

...cos(14x)...

ii) What do you get if you graph 0.5*cos(11x)+-0.5*cos(13x)?

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