Fourier series. Please answer the following questions which deal with the period

Question

Fourier series.

Please answer the following questions which deal with the periodic extension of half-range expansions. Recall that FSf(t) = alpha theta/2 + ?infinity n=1 alphan cos(nt) + bn sin(nt). Consider the function(ft), shown in black. Indicate whether the lines A and B represent the even or odd half-range extensions of(ft). Line "A" is what extension of f(t)? Line "B" is what extension of f(t)? Let f(t)= pi-t for 0 t pi. Find the periodic extension of the odd half-range expansion. bn= Let f(t) = pi - t for 0 t pi. Find the periodic extension of the even half-range expansion alpha 0 = alpha n =

Explanation / Answer

1) even extension

2) odd extension

3)bn = 2/n

4)an= 2[1-cos(npi)]/pin^2

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.