Question 5. The function f(t) is defined by | f(t) = { t = 3 with f(t + 2) = f(t) . Evaluate f(-1.8), ƒ(0), ƒ(2.5), ƒ(3.3) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = = 0, 0.9, 1, 2. Enter all your answers correct to one decimal place. • A: Enter f(-1.8): • B: Enter f(0): • C: Enter f(2.5): • D: Enter f(3.3): •E: Enter FS(0): • F: Enter FS(0.9): G: Enter FS(1): t-5 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) = {
t 5 0<t≤1
-3
1<t≤2
with f(t + 2) = f(t) .
Evaluate f(-1.8), ƒ(0), ƒ(2.5), ƒ(3.3) and state the value that the Fourier series, FS(t), of f(t)
would converge to at t = 0, 0.9, 1, 2.
Enter all your answers correct to one decimal place.
• A: Enter f(-1.8):
• B: Enter f(0):
• C: Enter f(2.5):
• D: Enter f(3.3):
•E: Enter FS(0):
• F: Enter FS(0.9):
• G: Enter FS(1):
•H: Enter FS(2):
Transcribed Image Text:Question 5. The function f(t) is defined by f(t) = { t 5 0<t≤1 -3 1<t≤2 with f(t + 2) = f(t) . Evaluate f(-1.8), ƒ(0), ƒ(2.5), ƒ(3.3) and state the value that the Fourier series, FS(t), of f(t) would converge to at t = 0, 0.9, 1, 2. Enter all your answers correct to one decimal place. • A: Enter f(-1.8): • B: Enter f(0): • C: Enter f(2.5): • D: Enter f(3.3): •E: Enter FS(0): • F: Enter FS(0.9): • G: Enter FS(1): •H: Enter FS(2):
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