A periodic function is defined by f(t) = {2t₂ - 1≤t<0, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.
A periodic function is defined by f(t) = {2t₂ - 1≤t<0, f(t+2) = f(t). Let F(t) be the Fourier series of f. Enter the value of F(-1) in the box below, rounded to two decimal places if necessary.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A periodic function is defined by
< 0,
f(t) = { ²²1, 0≤t<1,
2t,
−t,
f(t+2) = f(t).
Let F(t) be the Fourier series of f.
Enter the value of F(-1) in the box below, rounded
to two decimal places if necessary.
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