### Equation

I need to find all real or imaginary solutions to this equation. Please see attached

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I need to find all real or imaginary solutions to this equation. Please see attached

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x ------------------ = 0.007 754 1 + i --------- y 42425 x -------------------------------------- = 1 754 (1+ i -------) *500* (1 + i 41.47) y USING THESE TWO EQUATIONS SOLVE FOR X=? AND Y=?

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Let f(z) be analytic in a region G and set φ(z,w) = (f(w)-f(z))/(w-z) for w,z Є G w ≠ z. Let z0 Є G. Show that lim (z,w)-->(z0,z0) φ(z,w) =f'(z0). Complex Variables. See attached file for full problem description

Any insight on where to go with these problems would be helpful and appreciative. This is my first time in complex analysis and I am having problems understanding the concepts. Seeing solutions to problems is helping me to understand how to approach other problems. Thank you very much! I need help specifically on problems

Fix w=re^iθ≠0 and let gamma be a rectafiable path C-{0} from 1 to w. Show there is an integer k such that ∫gamma z^-1 dz = log r + iθ + 2 pi i k See attached file for full problem description.

Please see the attached file for the fully formatted problems.

2x2 - 3x + 6 = 0

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