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Condition : s fiz) diz) Q (2) where xe (A) prove this five function $(x, y) = = { [ 24 (2)] + 24

Condition :  s fiz) diz) Q (2) where 4Y (2) $(x, y) = = { [ 24 (3)] + 24 (2) + J () + g(z)] a fiz), f(2), i 

Condition : s fiz) diz) Q (2) where xe (A) prove this five function $(x, y) = = { [ 24 (2)] + 24 (2) + J () + g(z) ] a fiz), f'(2), i f'(z) 27 220 hexe = = 4 Y (2) f 1(z) = _d flz) dz > f() a // (Z) = P +ig, g(z) = U+iv 2 Re [2] = 9(2) + 9 () (13) use the @ O +34 = x + que que Uy - Fr - 21 Tag = 32-275-24-201 + x f(z) + f(3) = 2 Re [f(z)] Prove function axay Jx + y = 4Re ['177 Fy-x+21 xy = 2 [24" (2) + 9"(z)]

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To prove the given equations lets break down the problem into two parts A Proving the equations related to 1 Partial derivative with respect to x We start with the expression for 1zzpsiz zpsiz gz gz T... blur-text-image

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