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Question: i find the singularities and their orders for the functions...

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(i) Find the singularities and their orders for the functions 3 2 22+1 24422 +4 8 marks (ii) Determine the constant a such that the function u(x,ye cos ay is harmonic and hence, find a harmonic conjugate, v(x, y). With the help of the two functions find an analytic complex function of the form f(z)- u+jv (17 marks) that satisfies f(0) 1.

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