Let f: ZmZm defined by f(x) = nx mod m. If gcd (m, n) = 1, then f is one-to-one and onto.

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A: I have explained everything with in the solution. Please go through that.

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A: Fs=∫0∞e-stftdtft=e4tcos5t

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Q: 4. Find the Laurent series of f(z) = 2 at 20 = 0 and residue Res(f(z); 0).

A: Given  fz = 1 + 2z2z5 + z3                          ⇒  fz = 1 + 2z2z3z2 + 1…

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A: Please find attachment

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Q: A= -6-2j B = 12 2137° the (cos 5° + jsin 5°) C = D = 21e 520 i 52° - 1. A + B - C

A: A=-6-2jB=12∠137°C=16(cos 5°+jsin 5°)D=21e-52°i

Q: please help with parts a-c

A: