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Chap 09-solutions-ex-9-2-method

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Chap 09-solutions-ex-9-2-method

  • 1.
    M An‘:-r;'__,________.__A. .. “M.-.-»» >,'¢,..'»- .1“ . ,.~» -~ ' ‘ ‘~ . "::v;—:.‘:.-;(;:.:..;_“__M,,,., ' 6? O1 " ' w ‘ aw 5'" ---" * if s ~ »- .. 1.“ . q;__.‘_., lb . 'vv _~».‘,2i-‘ ‘ »_ __ '._ T‘_,>_ W“ 55 3 . If- ... ,, Ww. ;.. _- (“)‘0Jhk+,(('))‘1) 7 '-=-0 % £7 5M1 Q it 0lP>w/>5 uwiéif“ 3 ’L55Q Q7$ 0 >> 3) -> F) => #»-~<=3*~“P“’° £7 Now/"l°”‘”oaMeO gwi 57$ No, E/<~’t' Lwv»/‘57’ $fWi,L /M1@J<>“’57’ u/557$. 67; 7) B'?“"°"LQu67$ K’_'_,_/..-v< 1 , ;f 'i4(1;l“*Nl7.,,Ll,0 % I7’b73~‘1>§y3’"“,,.L “Jl~Y"JA"‘ "“” ? V ? - V A “""' ”°b“ *7’? ,MJ<»1>:* ‘ '1VV Iv. ‘ c_°Jf¢»~_r;S°’QNv( ' >2‘ ..__/- é _w.Cw1m~1> N4; QJJ @*J’5’“"Lp ~ /z;b~‘~=i~'°*~" .‘_J_‘-AkJ1,,,L[;,,.,,.11 . __.> -__ ........,.-M. -0.’ — ‘_...:H---— - L w@- %M§@2 % MMW‘ W’Av'WlMM7 1) “L MAM Mm “J1 OJ ,_ 1. " _ ' it/)vv5‘~aJb. I L 0p.MNM_IoM_ 1,1;;<.w-~@‘*Q~"> ~“~"“’*"“'~°I”""*"“M"?> » ;iz.~-.*a%§ab%e A V .=.@vw",a'*:‘a2:%;%'*. :1*:';’-9“ ~¥_,_,_ ~* "’ etc‘ 1 I ! 9 1 1 » 4 I A v V ,.Q..,_.. ‘ ‘ ' " >5,-E-r‘-- - ,_ _,‘_.. V _ ...»-»-..._ 7‘ -" ‘ . ~- _ ‘ k » _;...¢>»1.¢.-q-an--g- ~‘='~n'*"““""““' T“ ' ' ‘, f';;:; ..,.:4,‘,-,m,:7!'?~'-~"""“"‘ ' ‘ , _ ,. _ ,...- -_ '_ -" ‘, ___;. _. ~-1 1 2,‘?_V_:__;___ _ ‘.,1._-- q_;_ _ .;__.V-V 41-,-¢-—v ‘Q77 q - . »_ _ ., . ‘ ' - ‘-“’ ’ ———-1 ‘ 4’“E W A M7” ' Exercise 9.2 (Solutions) Notes of Mathematical Method By S.M. Yusuf, A. Majeed and M. Amin Published by Ilmi Kitab Khana, Lahore. Available at MathCity.org
  • 2.
    _l_ ’_ .__ , , .__...1 “HR -‘ 1--V’ "’-"f"-"-f_",_._fi,,,___;Z1;,.__31iT.:'_'..“ - ;-T'~ », " ‘ ‘ ' ;.'7*_ . ' v ‘z ifi“‘éi 1 / ‘ F, Y , / <2’ 1, - “'“§;_.‘:z’-93,.‘ K 2 ” - ti} *‘?»,'4 ‘ L ( 4 ~ ( S»~Q-J~ _---~- , V. ‘ . ._._._---- ‘1'):__i_ 7_x17 +17 2.x .2. =1 _1)$’__~_! Q 0“ 7C/+>¢3) »_: 31$--1_>¢-~~?-"'7"x_7+ix7. W mu‘ ' L . ‘-: J *1 ‘::j(-_)£l-L ,;____;~:) ' Y ?- =~_ 4: <1+~(‘f‘>5--”’.‘3 ' , T“? ’ V - Y 5 k Iv!/» 3 (in. ) +311 L . /~= ..._»<‘ 6/K 1: .:L<7c>>@~-0~‘/<'-I+*" 4.-Q ?§— 7"’) ‘<1 47> I - .4“;i~ I 1 _,», ,.-..-.-1 r ""‘ 4 gar 3 ‘QM ‘ ')¢7~“‘l ‘ -. 2.. 2" J '1 1'17‘. ‘VET ~— 3.1- A :57‘ = l4**C’*">*‘4‘ ""-“{l'7] 3 P /' ' L . 3 +¢ "-ax -é>“"'é‘¢ad 2 LA H">_> QM P___~[~2 ;;_- Q ac —--*"—""'”'""W"’—" N‘ K wé Q“’~Q_~f{I___.; Z_.;,é __ 3 7:, 5% '*"é~'¢ @ - L - -’ ‘ a,. ...}- 7 X '7: O d-AT (2 - L ~¢ evsll Y; 7': dx >__ 2.73-'3'>’-"é“'*6C'2- - 6 . . $A.->( LV‘[J___~j[ :1 6-1 L _ . >5 2.‘:-L3*‘3'*"6”( 65- ‘ __J§;A,(,,1M ‘;1~1( :1. . <2. f ’ ~ ¢ z.i.$~-w15"’- "éx 7 C Qpi. ‘L .. 7*’ 2 _<-cw "" ' -.1; A ' v—~~'"*"' I ® +_2.K.§.]»+)_;},<3or_ -+tv_L-¥—2_X/§J~*/ :2: 0 ;__ = (;¢»¢>=<' -+-Q cf ,.p- I . _,.._..__-A._._--x__.___..._.._._- :. 4' .- 7': /+qk+_,/"_{.~n-‘_7" {’Q’_{.;,./;<7(_~1~!/’} /K -§-2,>+@-+1->)0‘}'*' + »<L*+1->"*/ ' ' § -5'01 .12, v¢(_><+z)¢LI7 =‘ O +* wt"/~+> C7-+9 -'B - ::- U$X)+7[HX"> I 5 -=0 ‘ . >¢+1_ aw fj= <r+»<W+7/‘ I '>¢(‘/L“) ‘E . l ' " z-‘U1: -::0 4 .<'_<!. ¢,»y + —'-' ._-_/-"" j M‘ 4', L, ' {% A ( , 1 XL/wx/<»."»< jaxwng L I L- L ~3—-'i ~~_1+1~ - ; -2 V ’_ .+'>_§__<+' -X,‘-+2_> %1,,.=.— '.>(. A ' (1 ’ ' Kw » 2’. ' , ‘ ' . L 5»., V V L 6/ //v(7_/gm). ;~. -if @;q(1.»&‘l><)+ 5- " 7 5 >'l,x.1L K .) ___C__'J_‘ ' A >1-"“"_"'_"_'__ X W)" " A /:,Z1',T;_1 . '. Available at MathCity.org
  • 3.
    -.-...._.. . ....._.-..__...:-.¢.>--..- Q4‘ //t’, "‘~; ’ , » . Q 1 ~ / I‘ ’ 5}’! I7 4 @“?/'»I‘@*»~+*”‘¥T"*/’"*. J4; gléxatypo . V L_ Tb-7 7&7?‘ =jo~J~», ::)jQ’EE’4!,»; 1*-Ii“. 0 >& ~..§<_¢,x_ Y (1,-4.11.7 " pvt :2 V‘-if‘ V 4.1% < - “>7 7" *5»! -1 = I -..,, S 1 xdwtyr V ,4», - ~ W ~ /:11: W =1” i }_yCf’*”* 4* ‘“jsM70L7 Jo =8 ‘*7 "* _ . = 17-4,?- 2,12-¢2*"”’ M/Marw " *4 ~,~ ‘X. 2012. /- V -- ~ .. ---V -‘ . 'n,_,___,_____‘,_ _)‘>¢‘“vH‘,:":x~4;_‘,__‘__‘,,‘/ . V -_ . - 3 . 1 » I 2. Z *1 7_ ,_ (H>f>0|’7 ,,_0 rgj ,7. t I V 7L .. =0};/W A ’ , . 4-7 76 A ".‘ 1 S V >+#*¢“<"“> :70 +J_~3'”‘ *' R‘ ”';1".T9 Z11¢ ‘tL’_{-:> _, .____-7, + J t1__’+])M_+jE'i‘;_’;i_“/ d{_,_.= Q n-,~-F: ti." ’ — I Y %”4" . 9;?=-"JO :7 ' 9- ' fpf-I ‘ % L mqwl "L‘ rr 1 [‘)+ ‘ F‘ '/{,7 ""<’ ’/77*‘ *~ "’*‘*="* $1‘/l»<: * .’ .. .-> 4- .- -Q ‘A _(’ -1 C,-7.»_~.;L, ‘= _.>C=.»*V_.$~-»._v-1-c » :9 *]_ [(~;+1}{@_ , 7 ’ -» -C-=».»l<(c-<.‘i¢>L, »<./*1); _-_;>- --@_..i....v._._.i__-_._-_......_ --~ .. . H,“ y_- @ (J+,I)v"‘*/ = (*I+93 __lJ--‘IL _ V 4_-L7 (_(:"+|) (‘1-H) .SJ“-;L + C ~ . . I (C ._S~1;">c)éLat?-5”‘. *7 J6?‘ an '{§§€’v =‘>f<~Y<%"” ~ @ Q] <;;)»/.¢]_____.;/_»< ,_ _.-_-,_.- ("F 6”‘-a-I Z; "x+lC"2 M J ; JM - » ' ’ :2) ;'..@»_({+:) =1 F/n(¢Z‘+1>+@M¢ ;_-__-_ ' ‘A0 /' am‘: 5 in I /7? ~12 7 —-*-Y*-11+ w»+‘- * "W C. . » <' 1 . 1 i ~ ‘ =~c, “/ _1% if*'l<@~ *9 Q, . ~ '. i i I I 1 . 1 .‘~ - a ~‘ : . ; . 5 s ‘ i1 » -M,-<..4. , .» _ I ' y ,. ~ __ '- —~—--__ >...._--..'-'7"’-___A-........---_..:.;...~:... " . . » _ ~ . __ .il'_ ‘~ . I If ,_ I, » ¢;~;.~_~...._ ____='v.r.l'-mwv.;Qg£%5~ §a~.y»-r..;w.. _-<=:-_~.:..—:;.’_-:¢=;_.,_ _—;.__~__ 77 _-,~;.<.. ..,'_ .. ,_- - ~ ‘ ‘ -V ~< ~, - '- ~ _vF~:~‘*=-.~—73'4-.--vme<=‘T.. V ._-4 1 _@,-,.,._,_._.._ 7.... __. . - ~ ------~--.-., __.-.,...._.__~.. _.¢._.,_A_...-».. . . - ~ _._»_~_m ___ ~ ~ » — --_. M. , -QiIi__+ "ant: __. 7 =»-.. _,_,_____ V_,__:,, “I-:_________;____:_ . . , if
  • 4.
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  • 5.
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