(iv) If Z{y«} = Y (z), yo = 0 and y, = 1, then Z{y«+2} = z²Y – z. %3D (v) Z-1{ = 2* , k = 1,2,3, .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 25RE
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pls answer for iv and v 

(a) State if the following are True or False. You need not show any working.
5z
(i) If Z{xx} = , then Z{5xx} =
z-1
5z-1
(ii) If yk+1– 2yk = &k and yo = 0, then Y(z) = Z{yk} = •
Z-2
(iii) If xk = 5k, then Z{xx} =
z-5
(iv) If Z{y«} = Y(z), yo = 0 and y, = 1, then Z{yk+2} = z²Y – z.
||
(v) Z-1 = 2* , k = 1,2,3, .
...
2.
Transcribed Image Text:(a) State if the following are True or False. You need not show any working. 5z (i) If Z{xx} = , then Z{5xx} = z-1 5z-1 (ii) If yk+1– 2yk = &k and yo = 0, then Y(z) = Z{yk} = • Z-2 (iii) If xk = 5k, then Z{xx} = z-5 (iv) If Z{y«} = Y(z), yo = 0 and y, = 1, then Z{yk+2} = z²Y – z. || (v) Z-1 = 2* , k = 1,2,3, . ... 2.
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