please solve the z-transform for 5, 6 in similar way to the solved one above if that possible 4.х(п) %3D п а" и(п)1Z{a"u(n)} =ROC : |z| > |a|1 - az-1dAnd Z{n x(n)} = -zdzX(z) , differentiationin z – domain propertyd1Zin a"u(п)}here x(n) = a"u(n)= -Zdz 1- az-1|ddz(1 – az-1)2d(1 – az"= -z-1) 음1-1.(1 – az-1)|dz0 + a(-1)z-2= -z(1 – az-1)2a z-1ROC : |z| > |a|(1 – az-1)2 'a z-1Thusпа" и(п)ROC : |z| > ]a||(1-az-1)2x (п) %3D п а" и(-п)x(п) %3D п (п + 1) и (п)5.6.||

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Answered: x(п) %3D п а" и(-n) 5. =

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x(п) %3D п а" и(-n) 5. =

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

please solve the z-transform for 5, 6 in similar way to the solved one above if that possible

4.
х(п) %3D п а" и(п)
1
Z{a"u(n)} =
ROC : |z| > |a|
1 - az-1
d
And Z{n x(n)} = -z
dz
X(z) , differentiationin z – domain property
d
1
Zin a"u(п)}
here x(n) = a"u(n)
= -Z
dz 1- az-1
|
d
dz
(1 – az-1)2
d
(1 – az"
= -z
-1) 음1-1.
(1 – az-1)
|
dz
0 + a(-1)z-2
= -z
(1 – az-1)2
a z-1
ROC : |z| > |a|
(1 – az-1)2 '
a z-1
Thus
па" и(п)
ROC : |z| > ]a|
|(1-az-1)2
x (п) %3D п а" и(-п)
x(п) %3D п (п + 1) и (п)
5.
6.
||

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