qu 5 i,vresource ex 9.5 attached Ex 9.5: Prove: if f(z) is analytic and real on a domain Rthen I is a constant function..Pf: I is analytic and real on √2 => f(x,y) = u(x, y) +².0namely v(x, y) = 0₁ CR equations hold forI from analyticity on 1}:everyZEN04OV= 0 andand Dy = - DV=024 = DU = 0 => M(X,Y) = CER = f(x,y)=c, namely if is aconstant function. 5) Using Ex 9.5 from Lecture Notes determine which of thefollowing functions are entire. Justify your answer:i) cos 121²v) Imz

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Answered: 5) Using Ex 9.5 from Lecture Notes…

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5) Using Ex 9.5 from Lecture Notes determine which of the following functions are entire. Justify your answer: i) cos (21² v) Imz