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Complex number problem please show steps on how to solve the problem Problem 5 (20 Points). (a) Recall that if z = > + ty,

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Complex number problem

please show steps on how to solve the problem

image text in transcribed
Problem 5 (20 Points). (a) Recall that if z = > + ty, then s = 42,y = 52. 21. By formally applying the chain rule in calculus to a function F(r, y) of two real variables r and y, derive the expression OF OF Or OF dy 1.OF OF Oz + dy 03 2 07 +dy (b) Define the operator tidy , show that if f satisfy the Cauchy-Riemann condition, then of ((u, - up) + i(v, + up)) =0

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