97下複變期中考 é›&raquo

97下複變期中考 電

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Unformatted text preview: v (72' k7! 7+— 3 (—s-isfiy” =2e’ 2) k: 0,1,2,3‘ 1+\/§i,—\/§+i,—l—x/§i,\/§—i 2.5 points for each root 2 if use CRE to check ~63=~ey sinx , fl=ey sinx 6x a ‘ —u=ey cosx , fl=ey cosx 8y 8x 2 points for each show the CRE is not satisfied’at any point, or at least say it,‘ get 2 points .7 I. . kmwrifliw». 7m v H r ' 3 (a) F_poi'nts in contours have to beanalyticww w (b) F only 20 is analytic, not entire function (0) F not connected 2.5 points for each answer and reason 31“ 31 3” “L >33 :” ‘7“"7‘ he‘V‘MoI/Go (1%} an; 3x = {Mosjkefi‘ (xng_3;.y‘j ) : i—j (>%). RhTeflva‘tihj \aj Pow't; wifl.’ vesPec‘b Tu \j -) v: exs‘x‘j+ex (X4Mj+ 355‘1—3Mj) +ka) : xexm‘j +‘jexw‘j‘flfiw (2/73) a — 3%: ‘Xex‘Mj “GQXWSj ‘ EX 57%: -% = #9."ij ~9ij —\je"o~sj +15“) (74$) “W” W k'flx):c mm ‘ I ' /{ =1 ‘Ft-ZJ: Q’ckxmsxfi,g’>\hj) +6€KU<SMB+$Q$3+6) éfi (V7.7) : [11°39 14H- KT'E 71:13”? \fljfijigyl (4%) =TC“ (2’0 «f /) ~ 3 \ _ ( ‘- §b iii-2 di- ‘ d? (1%) 4‘3 : IMH-h) ) _: g c \- f z“(-2) 0‘2- £5 m H zm‘ ~{1(a) ~ zapphn 2x“ uxa ‘ 1mm (1%) W,\\ I/ u a x 2‘me WA N (, zk » . . , . . mm $fi?mfiflm& . .E (V: «NW E LU &5 (W l \M‘4 1%": w \ macaw . ronrzflnw Emilia Mm ‘ , \nka‘W3w $RWL£ av Um? , \l . , , zmfiwosmH amwzm: csw<mwmwé< zWaeows\mw:mH mxmawsmfiwo: >5m2mfi mrmow %fi$§ ,nocwmm so. , , in $$W %%i g %% 005mm 32m ooComo coumlami Siwwo: <3? $n B My m E V “ swam . , xr .. < - z , u _ L ‘mgami, E :0. . 29:5 m mmgwmwwmwmmwmm owfimwwmwmfimwmmam:.uuwxmmnwwwmflau7mwmwwmmmfifi%mgmfimmmo w Emmmm 5.10 3.0.: :86. . A \V . w NV. x.: U1. . H” 11— .4. N. r r H.‘ .I,_£.T r. M: I!” W WW; “maul . w ,Xl. .\K\ «n _ , ; 7M 1:: ii: / a v \ , ,5 vi 3: , UV x ,Tsvhmvw Am. 9 -fiwv a Psgffimu 9% m NV a Aflfiwflfififiaim .Uolgoma \ mg“ MHX+WQ m My ‘gmm u;,:mmbmummwwmmmmwmg u, by} ,wflx*5x_a+agvm +Ax.®v - .% VAMMMM >wavo BXANOQ‘ Ci 0 V ii 11111115.}!!! 3 .,,§v+~?§dx. 325:?va _ c RVX+NDH_ p QV wfiow¢o $3§awfmw.fienkwAfifsffiézafimfl<§E%ELkrEvkm+w . . 1 «v W: Adgaixg: u 2 , ms L/U fifiaiflfi 1® w,» aw Mg ‘ wx \fl .\ , «u my am my qflw231$ g ,n t: we. @Qimiwiv:9; : wig i wac. , sf: VMXSX + .. a: . w; v; I , . , . Mm, 913% cliyfiXQXPWmuxw {€95 2 E53 L w< w< y {W i L4 Mm éfiwfif fix any ‘ - v; w < w< «u g ; r ., . , ,. w ...
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This note was uploaded on 02/21/2012 for the course EE 101 taught by Professor 張捷力 during the Spring '07 term at National Taiwan University.

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97下複變期中考 電

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