In: Advanced 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 following integrals.
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) ?