(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,...


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

Extracted 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.

Jun 04, 2022
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