Hi! I need help with my multivariable calculus HW

It is on Fourier Series!!

Here are the instructions, prompt, and questions!

I need help with questions 1 to 8!

Recall that for a function f of period 27, the coefficients of its Fourier series f (t) = do + > an cos(nt) + br, sin(nt) n=1 can be computed using the following formulas: do =7 1 to+27 f (t) at 27 Jto to+2x an = = f(t) cos(nt) dt for n 2 1 to to+2n f (t) sin(nt) dt for n 2 1 Each of the integrals must be computed over one whole period of f, but this could be from 0 to 27, or from -27 to 0, or from -7 to 7, etc. In general, you can choose any starting point to, and integrate from to to to + 27, hence the notation given above. I First example: A sawtooth-shaped function In the following problems, you will compute the Fourier series of the following sawtooth- shaped function: This function could be defined in a "piecewise" fashion as follows: t+ 2n -3TT