N 2 with f(t + 2) = f(t) . T=2 Evaluate f(-1.5), ƒ(0), ƒ(2.1), ƒ(3.7) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.2, 1, 2 correct to one decimal place. The Question The function f(t) is defined by f(t) = { 2t 2 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The Question
The function f(t) is defined by
f
2t - 2 0 <t≤1
2
1<t≤ 2
with f(t + 2) = f(t).
T= 2
Evaluate f(-1.5), ƒ(0), ƒ(2.1), ƒ(3.7) and state the value that the Fourier series, FS(t), of f(t) would
converge to at t = 0, 0.2, 1, 2 correct to one decimal place.
f(t):
=
2
Transcribed Image Text:The Question The function f(t) is defined by f 2t - 2 0 <t≤1 2 1<t≤ 2 with f(t + 2) = f(t). T= 2 Evaluate f(-1.5), ƒ(0), ƒ(2.1), ƒ(3.7) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.2, 1, 2 correct to one decimal place. f(t): = 2
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