In: Physics
Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a)
where a=9−a=9− the last digit of your student ID
(i)(i) Draw a plot of the periodic Fourier Series expansion of f(x)f(x). What is its value at x=0x=0 and why? Is it odd or even?
(ii)(ii) Expand the given function in a Fourier Series.