4. Determine the half-range cosine series expansion of the following: f(t) = t2 + t, Α. Β. C. D. y 5 6 + 2 π ΣΕ η=1 ∞ 5 2 v=8+Σ 6 π2 |3 cos ηπ – 1 η2 ΣΕ n=1 η=1 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Determine the half-range cosine series expansion of the following:
f(t) = t2 + t,
Α.
Β.
C.
D.
y
5
6
+
2
π
5
y=,
3
5
2
v=8+Σ ΣΕ
6
π2
n=1
y=3*π
ΣΕ
η=1
2
+
NIK
∞
0 <t < 1
|3 cos ηπ – 1
η2
5 3
[cos ηπ – 1
+75|-cam
Σ
η
η=1
η=1
COS nπ
η
3
сos nët
сos nлt
|3 cos ηπ + 1
η2
сos not
сos nët
Transcribed Image Text:4. Determine the half-range cosine series expansion of the following: f(t) = t2 + t, Α. Β. C. D. y 5 6 + 2 π 5 y=, 3 5 2 v=8+Σ ΣΕ 6 π2 n=1 y=3*π ΣΕ η=1 2 + NIK ∞ 0 <t < 1 |3 cos ηπ – 1 η2 5 3 [cos ηπ – 1 +75|-cam Σ η η=1 η=1 COS nπ η 3 сos nët сos nлt |3 cos ηπ + 1 η2 сos not сos nët
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