Expand f(z) in powers of (z – 12) . Also %D (z-6) clearly mention the domain in which this expansion is valid (i.e., find the region of convergence).

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Q: Simplify. Write your answers without exponents. 3 -- %3D 32 ? 3. 81 %3D

A: (a) 132-35 = 3235             = (25)35 = 23 = 8Hence(132)-35 =  8

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Q: 3. Given the graph of f(x), sketch the graph of y = S(x)* a) b) 2- -8-7 -6-5-43-2-1 123 5678 -2 -4…

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A: A=1022-32 AT=12-3022

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Q: 5. ( 4 0 -2) D= -2 1 -2 5 A= B = (-1 4 3) 3 3 (1 -' H= (3 3 2 E= 5 0 -1 4 -1 G= -2 5 F = (3 -2)…

A: Given-  A = 51          B = -143         C = -2532        D = 40-2-211134E = 33250-1      F = 3-2…