Determine if the function satisfy the Cauchy-Riemann equations. 8. f(z) = z + Re(z)
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- 1. Use the Cauchy-Riemann equations to determine whether f(z) =(y-ix) /( x2+y2) is analytic or not. If analytic, give the domain of analyticity.Find the real and imaginary parts of the functions(a) z^2 e^(2z)(b) sin 2zVerify that they are analytic and find theirderivatives.Determine the types of singularities of the function f(z)=1-e^2z/z^4