Question 3. Define an odd periodic extension of f(t) = 2 + 4t, 0 < t ≤ 6 and hence find its half-range sine series representation in the form FS(t) = bn sin n=1 nπt 6 Compute b₁,b2, b3, b4 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter b₁ correct to 3 decimal places: B: Enter b₂ correct to 3 decimal places: C: Enter b3 correct to 3 decimal places: D: Enter b4 correct to 3 decimal places:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3.
Define an odd periodic extension of
f(t) = 2 + 4t, 0 < t ≤ 6
and hence find its half-range sine series representation in the form
ηπτ
Σb, sin (16
bn
n=1
FS(t) =
=
Compute b₁,b2, b3, b4 correct to three decimal places and enter the values in the appropriate boxes below.
A: Enter b₁ correct to 3 decimal places:
B: Enter b₂ correct to 3 decimal places:
C: Enter b3 correct to 3 decimal places:
D: Enter b4 correct to 3 decimal places:
DO
Transcribed Image Text:Question 3. Define an odd periodic extension of f(t) = 2 + 4t, 0 < t ≤ 6 and hence find its half-range sine series representation in the form ηπτ Σb, sin (16 bn n=1 FS(t) = = Compute b₁,b2, b3, b4 correct to three decimal places and enter the values in the appropriate boxes below. A: Enter b₁ correct to 3 decimal places: B: Enter b₂ correct to 3 decimal places: C: Enter b3 correct to 3 decimal places: D: Enter b4 correct to 3 decimal places: DO
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