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Asked Oct 5, 2019
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Part 4 and 5

Η
Σx. Showeach of the following
7. Let
η
1) Σ (-I) = 0
Η
( 2)Σ π
( 3) Σx
Ξ
-1
Η
Μ
Ν
Σ-3
(4)
Σ&-3)
-D Σχ - D Σ- 3)y
-1
-1
Η
Η
Σ-3 Σ-3
i-1
-1
-1
Η
Σ-30- D Συ- D)
(5)
Σα-3
-1
Σ-)
-1
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Η Σx. Showeach of the following 7. Let η 1) Σ (-I) = 0 Η ( 2)Σ π ( 3) Σx Ξ -1 Η Μ Ν Σ-3 (4) Σ&-3) -D Σχ - D Σ- 3)y -1 -1 Η Η Σ-3 Σ-3 i-1 -1 -1 Η Σ-30- D Συ- D) (5) Σα-3 -1 Σ-) -1

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Expert Answer

Step 1

Part 4.

 

Consider the left-hand side of the equation,

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Σx () -7) - (γ, - )] Σ(3-3) (, -7) i-1 i-l 1η Σ (x-3) 2 Σ(x-3) i-1 n η Σ -)--Σ () - 7) i-l 1α Σx-3) i-l Σ ΣΧ (y- ) - (Ix ) -5ντης] since,Σ (y - ) -0 -1 1η Σ(&-3) i-l i- η Σ (-) i-l (1) Σ&-3) i-1 μ

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Step 2
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3Α 3Α Σ(-3 () -7) Σ(x-π)- (x - ] i-1 1α 3α Σ-3) Σx-3) -1 η 2 Σν(x -3)->Σ (x- ) i-1 2 Σ x-3 . -1 Σν(x-3)- (Jx) Εα) since, Σ (x -1) 0 -1 3α Σ(-3 ) Σ(x -3) i-l (2) Ν Σx-3) i-l

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Step 3

From equations (1...

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η η Σ(%-3) (, -F) Σ ( -7) Σν (-π) η η η Σ%-3 Σx-3) Σ(&-3) t-l -1 -1 Ι

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