Question 3. Define an odd periodic extension of f(t) = 2 + 4t, 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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Question 3.
Define an odd periodic extension of
f(t) = 2 + 4t, 0<t≤2
and hence find its half-range sine series representation in
the form
nπt
FS(t) = bn sin
-Σb, sin (17).
2
n=1
Compute b₁,b2, b3, b₁ correct to three decimal places and enter
the values in the appropriate boxes below.
A: Enter 6₁ correct to 3 decimal places:
B: Enter 62 correct to 3 decimal places:
c: Enter b3 correct to 3 decimal places:
D: Enter 4 correct to 3 decimal places:
0000
Transcribed Image Text:Question 3. Define an odd periodic extension of f(t) = 2 + 4t, 0<t≤2 and hence find its half-range sine series representation in the form nπt FS(t) = bn sin -Σb, sin (17). 2 n=1 Compute b₁,b2, b3, b₁ correct to three decimal places and enter the values in the appropriate boxes below. A: Enter 6₁ correct to 3 decimal places: B: Enter 62 correct to 3 decimal places: c: Enter b3 correct to 3 decimal places: D: Enter 4 correct to 3 decimal places: 0000
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