The function f(t) is defined by -2t 6 0 < t < 1 -1 1 < t ≤ 3 f(t) ={ with f(t + 3) = f(t). Evaluate f(-2.2), f(0), f(3.9), f(5.5) 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(-2.2): • B: Enter f(0): • C: Enter f(3.9): • D: Enter f(5.5): E: Enter FS(0): F: Enter FS(0.5): G: Enter FS(1): H: Enter FS(3):
The function f(t) is defined by -2t 6 0 < t < 1 -1 1 < t ≤ 3 f(t) ={ with f(t + 3) = f(t). Evaluate f(-2.2), f(0), f(3.9), f(5.5) 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(-2.2): • B: Enter f(0): • C: Enter f(3.9): • D: Enter f(5.5): E: Enter FS(0): F: Enter FS(0.5): G: Enter FS(1): H: Enter FS(3):
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:Question 5.
The function f(t) is defined by
-2t6 0< t < 1
-1
1 < t < 3
f(t)
=
with f(t + 3) = f(t).
Evaluate f(-2.2), f(0), ƒ(3.9), ƒ(5.5) 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 ƒ(-2.2):
• B: Enter f(0):
• C: Enter ƒ(3.9):
• D: Enter ƒ(5.5):
• E: Enter FS(0):
F: Enter FS(0.5):
G: Enter FS(1):
H: Enter FS(3):
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