Differential Equations – Include notes if necessary to help in understanding, also any general equations if there
are any. Consider the function defined by f(x) and f(x)=f(x+4), sketch the graph of f(x) on the interval [-6,6]. Find the Fourier series representation of f(x).
Consider the function deﬁned by 1—32, [)5 III ;1,
0, 1 g |:E| ; 2 311d ft?) = fix + 4)- (a) Sketch the graph of ﬂat) on the interval [—6, 6]. (13) Find the Fourier series representation of f [cc]. You must show how to evaluate any
integrals that are needed.