Morning All

I have a question I am completely stuck on.

f(t) =3t+3, -1<t<0

=t+3, 0<t<1

=6t-2t, 1<t<3

Make a sketch of this pulse.

Time is measured in milliseconds and amplitude of vibration is in microns.

The diagnostic machinery repeats this pulse every 4 milliseconds. Carry out a Fourier decomposition of the resulting waveform and find the amplitude at the fundamental frequency and at the next six higher harmonics.

Make a plot of this waveform in the frequency domain, showing amplitude against frequency in Hertz.

The engineering company want to ensure that there are no vibrations with an amplitude of more than 0.1 millimetres in the frequency band between 600 Hz and 800Hz.

This is the question. Any help on where I should start. I understand this is a sawtooth wave, and need to apply the equation to get A0, An, B0 but I don’t get how to apply this to a wave with more than one function.

Any Help

Regards