EGM4313.HW10 - Page 618, problem 22: 3 3 3 4i 3 5e i arctan...

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Page 618, problem 22: 3 arctan 4/3 2 /3 3 3 3 3 arctan 4 / 3 arctan 4 / 3 5 cos 2 / 3 sin 2 / 3 33 arctan 4 / 3 arctan 4 / 3 3 4 5 5 cos sin arctan 4 / 3 arctan 4 / 3 5 cos 2 / 3 sin 2 / 3 in i i e i i Page 624, problem 11: 22 1 1 1 11 0 1 1 1 xy i z x iy x y x y ii i Page 624, problem 21: 1 ( ) (1 ) ( ) ) (0) nn f z i z f z i n z f i n Page 629, problem 2: ( ) ( )( ) ( ) 0, 2 f z izz i x iy x iy i x y uv y
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Fails Cauchy-Riemann condition hence not analytic. Page 629, problem 13: 2 0 u xy u hence u is harmonic. 2 2 22 1 () 2 1 ( ) ( ) 2 11 ( ) ( ) uv y v y g x xy x g x g x x C yx f z xy i y x C Page 629, problem 23: 32 60 u ax bxy u ax a Using the previous result
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EGM4313.HW10 - Page 618, problem 22: 3 3 3 4i 3 5e i arctan...

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