Question 5. The function f(t) is defined by 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 5.
The function f(t) is defined by
f(t) = {
with f(t + 3) = f(t) .
Evaluate ƒ(–2.4), ƒ(0), ƒ(3.4), ƒ(4.4) and state the value that the Fourier series, FS(t), of f(t)
would converge to at t = 0, 0.5, 1, 3.
Enter all your answers correct to one decimal place.
• A: Enter f(−2.4):
• B: Enter f(0):
• C: Enter f(3.4):
• D: Enter f(4.4):
•E: Enter FS(0):
• F: Enter FS(0.5):
•G: Enter FS(1):
• H: Enter FS(3):
-t+5 0<t<1
-1
1 < t < 3
Transcribed Image Text:Question 5. The function f(t) is defined by f(t) = { with f(t + 3) = f(t) . Evaluate ƒ(–2.4), ƒ(0), ƒ(3.4), ƒ(4.4) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.5, 1, 3. Enter all your answers correct to one decimal place. • A: Enter f(−2.4): • B: Enter f(0): • C: Enter f(3.4): • D: Enter f(4.4): •E: Enter FS(0): • F: Enter FS(0.5): •G: Enter FS(1): • H: Enter FS(3): -t+5 0<t<1 -1 1 < t < 3
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