The function f(t) is defined by :{-² with f(t + 2) = f(t). Evaluate f(-1.3), f(0), f(2.6), f(3.9) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.8, 1, 2. Enter all your answers correct to one decimal place. A: Enter f(-1.3): |f(t) = { -2t+3 4 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5.Please solve this question step by step I need to understand to make sure.
The function f(t) is defined by
:{"
with f(t + 2) = f(t).
Evaluate f(-1.3), f(0), f(2.6), f(3.9) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.8, 1, 2.
Enter all your answers correct to one decimal place.
A: Enter f(-1.3):
|f(t) = {
-2t+3
4
0<t≤1
1 < t < 2
• B: Enter f(0):
• C: Enter f(2.6):
• D: Enter f(3.9):
•E: Enter FS(0):
• F: Enter FS(0.8):
G: Enter FS(1):
H: Enter FS(2):
Transcribed Image Text:The function f(t) is defined by :{" with f(t + 2) = f(t). Evaluate f(-1.3), f(0), f(2.6), f(3.9) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.8, 1, 2. Enter all your answers correct to one decimal place. A: Enter f(-1.3): |f(t) = { -2t+3 4 0<t≤1 1 < t < 2 • B: Enter f(0): • C: Enter f(2.6): • D: Enter f(3.9): •E: Enter FS(0): • F: Enter FS(0.8): G: Enter FS(1): H: Enter FS(2):
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