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Exercise 9.7 : Page 3 of 10 : Available on MathCity.org
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Exercise 9.7 : Page 4 of 10 : Available on MathCity.org
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Exercise 9.7 : Page 5 of 10 : Available on MathCity.org
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Exercise 9.7 : Page 7 of 10 : Available on MathCity.org
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Exercise 9.7 : Page 8 of 10 : Available on MathCity.org
Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
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Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
Exercise 9.7 : Page 10 of 10 : Available on MathCity.org
Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin

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Chap 09-solutions-ex-9-7-method

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  • 2. ' . . -—‘*"“""""‘“"MW pi“ v ' . -_ ,‘ ’ _'-‘__ __ l‘)__,_...L , H, _,.,-law-_!¢_‘lf-‘ "~ ".* ' - ‘~- . 6° ” ,~aQa . “kw V v V M' “L @ , '*- »u ’-"“"7£*)"~‘~"’L" ;..(1~<+?1~1i§§7" ~ ,, L» JH , 95*? -;: 1% »Y"7~W1 '3/M 1. L>1’); :: 93*‘! g , ,_ »v>~15*‘ir““6“"'Y |.,p,1>¢.;% . OFIL“ We fjf A '+6‘Hc' V v_?:w1 = ‘id "l"3>7"J1i5°A*>~f>*§°“‘” Tam“) ; 7 1*“ V? :2?’ OM‘ ' ’ “‘ ¥?(w77>*'@' K) V__/ ‘-1 - " "%° e,x~~1=Q % M6 AX’ ‘ ' . '“‘@ '7'“: . V. 2 ‘ ' j ' “ ' 4*{¢/n% “ "Lie- . -9;; <% EY;;'i§>J . ) , - » / ,; _,o.'l+vcAI/ ==-. 9'1?’"C1. * {'~‘.5~=M V >4 *‘< “Z2 “ ‘“锣!*‘i“"wm- 71’ ” "‘ . I .= 1 ;:-‘_-.4-» .: ='=~=“-~.§;~»‘*.-" . "'1-”-»”" LI L .- ‘- '- . V f * ‘ ‘-7- _~ -T» "":-*1§~-c:*»/-="§>~,--€‘~" “F'"’~i- ?**-§‘e§J*-‘¢¥~ - xv ~‘ ‘ 51;-‘L w»:~~.--, 1-"~'»-" .' ‘ -— . '- :+"__..---—4 .€z.~.z,‘,-'-:~<;,2_¢§:-»1g~R1,1?‘,,¢*.;:,*l=",»‘' ‘$.‘-;&“.'v“d“‘4 ' ' " 1.- ; %5"wt§;;P;§w;1¥<;==1;¢= ' “ —"""~ V +/ , 5,... . » /U4“/)3 /.>_ 3 . .... M -4 9-‘! "1 ‘ ./- " -"'1. ' 7“ / -""1 ( kv 1+»! am |_/ L 3 7 Mv -Q/~»@*‘/> ” QM7UJM¥‘ > 1 If . va 37* P“ ‘MG’;:»> ’. v~-,"}';%~ = ";i";_ ,>//V -= M - a ~/ >1+/ 7 vk * WW % "‘ ‘(X .- - ’ |¢~j,1+v 4%» L 1~~1a~_ i’~“~ '/@ ‘s j;_L;)..$K ;,¢;-3;?-:.‘"><>¢ . _,,.J ' “ 5; I » * ..1.r-5; "x"-P1 , Y Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 2 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 3. If-1.; _.'.» - "L _‘.,_~; 1—.—_ .9/N’, ~ $- w=-‘Z 6 l 3;. - >4 —;-(,5:-K ' ?££‘:_O’ »..~;, ~ N . ~~' 1 . , " .. . - *1: ~ """l’§1>"n1'bq5*M Wh§4%,f»ww$H ' 6%; X7 ”“”'= Q" 57% u-- Y" ‘z>rr'*"1?>°"? QMe.= Q“ =~ . "~ ’ ' . -3; 1 *,@% ‘1b2'f"“s‘""'1 (?__;7’kMMW.A 7L ‘M d’EI>"7‘bZ§Mj7}{>O7E % _ ( LnE¢~~< v ..-‘X == 7%“ Z1;/L -_.(1,;..'>k“*“1 '-——'~"“ 1 1 . , ),aJJ~0l4-Q 4) ‘Q51: /A C-L -» , _, ..,¢¢=k @ 6. ovu.o<>~¢-L“. G3. 1"’xL‘+c2' O (U M 1 Cb, ¢ 2 ~—’ T P’: '55‘~*" i A ‘ ft“. . - '7 '1‘ * ' ' ' - , _ — , .., - '5‘ W ‘ ' ~_ g~_~:.v.-rt.-a~;.l'...<r!"t"-.~'% -7:-< ~~ _ ~ : — " — "" " - __ . .9; .. ~ i‘ U &' " 1 =0/“ ¢ »(.Y~*‘-*9 . “’>93(D :v C_ - s V, 9L£,€.___ /)/_.{.--r£'/Y /A 6 j jqdwsy/@§7M Wmvbj ‘j 1-F= ' :Q~1 7¢ ='>? 11;% %0M-L-‘£<i;> '”"7€H:% *7 A v v Jr . LEA» '11; Q ../'>_:_ K ">1 7 41 ’" fl? »< é ~éwW>=s1w@ ,_x?€: 76,}, = W ' 9 ” ;Z@»I>L *F L. __* -.-_ ~”.L “Z ;@_Q1-|)+£._ I. 1 Q/‘A 1.. { ,.».7 av Y_’j_Z’j/%, p >< 3 av 1L(Rl~]"'> ’”7r&,“M ~/u =-@")*¥'¢ A ‘ “r ~ on L 2 i. ->~ > ‘ =7 vL(A~~1l> ,_Q(;*" Y_’lA_/_,/A,‘ =7 “2L.<@*7)f"’> = ""l°‘L/“HM - j .1Q<»°5) 1 V>-1 “L(F"’”L"‘) gW , I ,.r(-l-'-|~ 7 I'M‘ ' 2~-/// ‘__;_’__________,~._4___M._,-.. ..,. .1: 1 1 L r 1 Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 3 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
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  • 5. “*’*“w___- _ .3-.rl'»%¢~vfft" ~ " " A""" _---~———-' Y ,____,_:.,.<~@-.-mu» -- -» rr . ______.._.._.... " "_'§ ~* ‘ " ' . ”‘<‘—* _m§' ”"“ ’ J’ 4'" —-~ ;""':"_1i —-ii} igrmw Q ,- ' ' 1*» - + *4) . 1;-/L / 7'1 _L ‘ ¢-'-_‘ L’-X‘ 2- '. ' JN :1 -2-‘//7"‘ "' i K-‘Is K Q Wig? ><-J; 1; ’ 7 ;<M>L""'1o *~:;,’%= 9-M‘ . 533?: ,-. §' » x ~ ’ - -' # 7 v 31 3 ' A c, ' " % —@) 4 ‘ "*§F"X wk9-L1 l‘7a_+(%A,>.»<>>L . V- L _L_X:I%~__-3_7 , ___;_ 7(_~-f— ' . ,§%~ 2 "_"" 1>-51’b°'°3 % :F1‘*Y ";.,:= My ( ¢ WM” %¢ ~j::£ ‘*H»*1"Y>?‘M' 1 0-75. = . , -9.1-‘L nail]? ‘= ¢- 3/» 1,4-K L $2» F 1-D1 --= ';E 7 5 /- b " 3-__ -‘Wk 2' {+'7A}l ':'_~‘:_l__}>/.1<_ _gDP»i“f-=l'?( +K / '1/— M .+. 4 oQ">k“'y<> ‘_ Q/L'H>':}K 1. D 1)) . 6% W W» D;-;:_1,.,/§l_7';17F W5; g -9%/__,;;/2 I1,“ , / -H Q'L'+3»9’1 '5 ‘LWI 2. OA~ >1 -412 U.H;1.)0§,I.r ;,>~»1JM='-*9 3 x My-=2 3§/ NX: ')-*A - ’ . * ' L . X P . ' I 3/+3 V 3 -E ~ 1 _.u§_‘ . Exorfé) ’ W .'-M17N$ "' I _)£A’7_;_t,, /34-3V‘ pvt’ . "JM#~*$&?'““W°M5 ' _1_u<J‘+:v> ’“”“"+”‘ 2- =6, 3 3 -2;-.-= C; )1~,7A-+j*1 "W - ~ 0,41 +3”) ><- Mm, *2 I + ii .__._ Q <1: 5;: 7‘ 3 7‘ fi 2 , 33-°L3<;ivf, _=- Q .<..>-,1 (-;“~*~~fjj/;>s)<= (~(§;"> V» ': . k Y 13’r$“k‘I 3 MI ‘Ia 5°57 ‘Q1;/7L L - ' ‘K , .3, _3>.-' . r 7* --' ~1*+1,m Q ° @~»fv-=»< ‘ °I “* ,__,-—--"'”"-»»-1;‘-¢ ‘4 ---"”"" Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 5 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 6. __>_____,,___,: --»-— __;|___ 112,1"!-——, - _.__---5 --.-' “' - ,_ W-_- V ‘—~ . » — ' A_ :4. —.,_ .. '—— ¢ .> A . »- £5.4- ’ '_ h‘,"<‘l:l;,-V":-~-,~ ‘ <»* mi: ,‘.‘:3.,-f~§F_""{?_"¥‘43"M':-_l‘§._1 ‘ » * ‘1_ é K" . I - ‘V T ' N. U) ‘ ‘*2¢+?~1"='+~ l+2"c'7 “A/f-_® <3»! .Z:>3~I~»~|->1[1(‘/',‘(>’JLT-rZ"k'7i~"‘°‘l'§ 2% +1133 ==, 95% .'~ A * =>>4%=1-¢'§”l”“*'d*Alcaii 7(_ JX Q?) "% M AA ,-.5i44_ {M *5 '-=‘ C. 7;‘ w ’_'_ ,_.--' ,_- Aw ¢ C? - cw; T: ‘ £._',»g¥~i-K 1_~ '74- . L :7 _ x%%V“‘~ ‘ 951 - , : ;2.. 4-7.,-*1 ‘__ Av,‘ .5 /$73 11._;:____,n_.K'>L u L {iii A &._,,1,,1 '* q“=1+1[*£-l‘*Y]7 "*“%@ ..~v¢%' L = - %. 1, 7“ ’ -‘-1 2" ‘;__ -1- - . -= -‘w-. '-I-~~ "-"“;=Y"7". _ , .'.v_.- _‘..‘;‘_;:-,~,~*‘-__;‘ ‘.434 “- -~_ -.»-- _" 9 7 . ~~ -.» 4 Y-l"*'*=*' ~_ W “ -"' .' .»~"~-.-!=.'-~r=n.~;- ,1-:<.?i~ A * ‘ _ . _ 7, ». . mg"-*-" -. 5",: ,w -‘ 1;!» ' -» f>~"~ 3;»/"-H-“?‘ " '‘=’ Aw f}‘¢§"- "-’~,¢*~X"§'§‘-“’14*'T> 5'-' J‘;-=v1i.~"' =‘-u‘~1?§'§‘73'r"‘2;‘~‘i~' 'i“‘:"’ ’§;}F'$' P '“'5*"< "P".‘= -r-="7:+,5 . $51“ -HQ; 1: 6}; n ‘v-/'3“ ,.___, Y -‘ pg‘ 11Al4 w 1 ‘ ‘r , --» “.~ > ' If Q,» " : ,~.. ---- »- “~ -- ~ = ‘ - =' - - -.‘-'~ , v P": "iv" ‘~<“‘~‘.'14=-- K -'* -' :4!» -. -.- ~ - .. "' !"~*' 5- A ‘1.'= ‘IQ »"~¢- ';f‘;k- ‘.<';~~”; -."~." :-F ‘ JI1-=:#2}' '“ -'§*!u~~- W »*"~.,.~?_I..,‘:-.'~.-w~.»+»!-~ 1 aw -" ‘kw ?‘»~; < ' .- -‘"" ~’~' » ',- '» -‘ - H, . - ‘ »_ , Y . ,_ __ ' _ . _¢..,,_.,;,.,,<._.$ 5,_ ‘y _. rs . - ~. =._ ‘Ming-gr;:"!",,,~- J ‘F ‘i -_§>.~:qi_,. -*'?"~i-.__£‘é k..‘.,¢;=:1-|;,§5I'!_“¢;‘~?"n =5 -‘ F "*‘W““‘ > ': 2__ ~ :5 "‘f*-12; _ ~ >4“ ‘ ‘ i ..~‘;$~~_ ' .:._~,__ -_~,_ v, -.‘-.,;g.u.;’4¢, ,_¢- .»$${§;_._{> -‘~~..,.-1.-.s. “-.-;=~“~.-' ‘ " - "—,1":-. W». ~‘ ...m:<>,~._‘._..z:.i;‘_.,» .‘- ., v- .. - . . V »--:‘k_¢:_ Q ;I_é,*_,;,~<~1~<{Q'1 _>,‘ .‘ 1.;-,n; - -*.~" .~. ~_ '.. ~_~"_ -1 ‘E-452-” 2- - /"’ ' L Q. q_ /V‘ , __l K-5- ~ 20-41 &_ 1-+'>@== - V-_ __1_'.'."T..___] '1~ /,K___§Q1,(/7:,K"1"‘]:-'-', -1 = 7g-?.)( . /'1... = MW W ’:=-~»++< ._‘;Lvx7’ ~ ,._ _.,_ /1 V >f/ v/)1LNL14 J_'7 -; 1;;vi“v"r&J.».e:.11’*;~‘* 52> ""v**“"”"2.“/ ' **’11 3 -ii‘ -=.:2§‘ Avallableat ".-LK X L“ =;i@;3.2.> . *1»x /1 , -::- ‘*1 71 - -@M M‘ , Q@;(;~=4»&{y V __ Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 6 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 7. , ~ A J -.~ ____¢_;,_,(___,__,,___,,__ w+$#w»~ <'¢ L §@- 2 »1 I . an.d math I ‘ ; 1 675 G9 METQ‘ _ ~ . “ @ »§f:c$»?*~2-¢°*A"""'* , _ __,.,-(D ‘ ' .- o(l+3»'~@*)IL/A a>:5ban% = >lo~C#’-"'9 W.1® 7' acebg ‘ w3J‘- " 9‘U;’§w>Cp°w . Q . “M Q, Q22 A-1 .>z,o(4§1- >D'°7Z3MM3 T saw 1%’ 6/J A . 7 ;._. Q‘-"‘P’M ‘CV59 )$.t<|ug$.~'»ll’]0b9 5 5:6 j@< ._;_S_*f__$*3__:§d*9’ A 7; 3 IL 7‘ % ¢m sww “W$V“F (jg; 9 . ’ - ' OTS (La __ ’LoLL9 ,_ ~C/_,°,’§-2-’-Q _m9 . . (R»<»3i’ =-"Jib. £54/>L9 331 ’ 5~?'"L" ;»>,§~&W'§*"“"“’ §%¢"S%i’»”“W * ., -i-4~'v Q w¢=~@@“* A, ‘. qw 3 L» (Ln , Lg" . A‘; vM(¢¢;>.e,_ § 51; L <»~**° ' " 1< e V . _g¢,9+¢» _,,0-C. . - . sZ-<. . 1» 4- §_-._‘9- + OMS um QM 3 0MLLer>>.@> t L R, _¢_':g_;»;>..*?.» QMc.E>:P -kc*_,1}'~‘9 ' QM R ; “ é M é ( - c. 639 - 1 cU*“@- L “A mamwmm g ; ¢¢@» ‘ vi-‘A§‘p"‘[n' / 1 s“ SI I-8 - /1‘: ‘P capo Q k,/>’~1w~_W1bw_',L(1"b0~YE.. _.,¥ * )1 ., k = . 031- Y . N‘. '. :13 _..v- ~,----'/' . Xv‘ 1 Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 7 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 8. _ v~ . _- ‘ . . ' > .._ -' ‘ ""'___ _-~ , ;l'_q_-__= T.'2*-'”4'."'“ ' *~*‘ .. C-‘*:»3~'.‘ . -..._ .. ~.f- . "“a;v Y" < > "_L..-.-_--é----—-' ~"' _ ._ » “ ~ ' - _ ~ ~<‘ ~ 'r£;".';" _“. . ._ -.;._'j >5‘ . ,. _~ - ' -.r:‘<--" '- '. .’ xy- »,;_>r ‘ “TY; Y '~ K". .1; 14 < ‘. ; . /1,; 2:,‘- ‘(E /“L '>0~—G°/5“ _ ..z._, “-1 n _ M »-~..-0(7-*'C'5°e'>('S;“9)' W/R *1/1 =0» §*>~""9- aI»" a:cA% - ' L - ..~ $.;._&- 1) _.. CK ‘ - 11" < "‘ 3;. AL 1%-__. ;;,s-‘<l¢:>'9)- -' "._,... .. tdwg .A ¢L.,->1 -%~~<**> ““ W -A '"' ‘_ X 1 .9 ~n-I ~ § ‘ ’ 62> : >L&& “D3 )1, Q __ -:’>~»“@ .c.-~' ...-- ‘LG " ---'-_"" ‘L9 »QD.+c¢>_,_9)" ~ Ti“ » C/,bv9 _; __.<4_bw~">9_ 6G:9_ '-/""- "_; ;¢,tnQ 3"$'I‘53MM%&-A" ‘ ),--Q05’ H .59 == _ ~ 0%, A ' .f l- W W ,= ;@'~»»@> W»r>""‘“‘*> Qan = Qflkwf. 39% 3".‘ . ‘FL ~ ' ,,.L~U-A ‘- l %<Le ~.-_ 43k $~ MJJV W M __, In if 7<J“§ : 1-5'33 _.rm“@_ § _?'*_C."°<9 _ ._¢éb;o-s [Z'r'9c149 A 5% =35“ 3‘.fZf;'. _1_' v9 A &/» » p/.vTL. ._ ': Q,,.§.;~$'-‘{9} + Q -SK A‘ '" Opt ,.- :1c,.,>~us~3“- bisa - ~_9M&:..o xx 9, QM =11 M°”"“‘°'°w> Q/v‘‘C>»;1 . .-— C_‘ ' ' ' ‘;.~A“ -~< ;»<§a;:' if 3’ qtkimxllwll 4?‘ Flbk “""'_“ rt F +w- '%- -r» ~»< L H m »“ . . .-, ., "'€"'5:"1‘.L'.'.'-1'" 1;?-'~-1'-<~’ é,,. __,~r~‘,;';§_ ¢.-f;'- _'._'-'4':-‘;=_ ,',-¥1:;_;:."-,~-=‘i_.'.,¢_{--’¢"‘ ‘V '-:">_‘,'j_' " < ' n 75 .q . .., > ._ ., _;. ~'1,~'_&..-;;,-_.~<-'=::;~-=_.* .1 ¢ >¢'~¢= ‘ .,;L,*.:a ‘ ~ -=:*- A M5,; ._-W _ ‘ _ ,,. xx‘ . » L _ - Q. '~:1 ., .--3‘;-_-~_> ._ 1,, 4,_'<_-‘L.-,3‘;--i<I3<'_» <~' sis-_-'; "*‘ 2 ": " ' ,1 “ V ‘ _. _* >‘-.‘~._r~ -- »',|.',_ .. __ '. ',.- -;» - ~ » " -,- = ~~ > 4» "' ‘ '-Tj1‘*.“~;,$11.§"§."=*'f1,u%*75*3@??I?”’T<=~""".- ’ “ - ' ' /1 '3 Co/>‘¢ " -~ j KL I l Qw --— LA CCSAMAQ ’ V + L ' ’ A ,__ . . ‘ . _. v ' Al ‘i L Q(‘§,_,“vQ-> §»:~<s>L3-=>*¢9'("w) ‘ -. >5 , 5 -- (L L ('2 t S*."'*6- ‘ 21.5.-»'A_9~ <LC~>~'~"/ 'Z.-'-_____§_§ % U "‘1°°°>“ L -, 2 . ‘- w ~=_e:,<,1;.</:>£% (~o=»>@> A ¢W>W>) _“.. ‘ Q»6ez>s>) _, 4‘; QM-owe) . - J>‘ 2 Q¢-C¢o6)“ ‘ v ' H ‘ - L A4 . L ? 0*-i¢:>*-¢~,>" / kl . f " “ Q»-.}-v(S fa.‘ = ‘n. = 5' 3.;.eL§‘f_& $3) I‘ Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 8 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 9. “~-.,-.~ -if . _ W ~ 1-n;s.»¢¢w ‘i . . 4 ~'~-:2 ._ ~ . ".15 '-' I; - ~-;__W,’_;€:<¢, __ ‘;. Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 9 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin
  • 10. 1 . ; . 3? I I 1 s _< ,1 4 ‘I I z = y 2 1- ‘" I .1’ , _ , . ,-~ . . -- .~ __ _- .- :-=~~- ~‘~--*v.'.~. =1. 1". 53* ‘f‘~ v'-= ' "<5" ‘ ' > ‘ " “M ‘ ' I ‘V '~.-‘ V . . . ' » _. ,- :: "_ . -» 1 -___ __.»,.:.-1'-,@P<E-e w '4‘-» “~:'"'¢§'.“'!-_L‘-"1 '1 _ -=;' "'..,f- ."'w~'~»?-~ - - » Y » - - -4 "» V 1 , -P --_ -- >. ‘Q .j|<. ' v .“-='~ '3“.“-"w'~’»~"*~‘~5»~ "~3-.f-.1~x-'- '.- ='.-"7'Ya~""".n‘.‘i~}‘~'~- ‘ "'-"%1*‘1*<'11~‘¢"' .-'5‘ 4 "‘ ' -"" ' — H Vs - " --_- ,1 ' 1.1" - "' ‘ " "' . ~~--- ;=- _.~."".'»'»'>§.<.';3' ":° "“f9"'r ~ . . . . “"‘ , ;_* q Q5; 1, ‘raw’! _.,. _ I Q >..~] ‘IF’ : "'1' ». < , "- _; . R; ~»_ -.. ‘»__ >.> _-___,.-,.‘¢-~ _,. ‘f-.-.,|/1 _~_>;4).»;_ 1. =- g:1_<_.~_~_.w'; -~ '~‘~< '1 .1:-r >7: , -,_- .~ _-_ .‘-,:{'§i"._'- ";-;:=">li,:?ri§“.'_v>“f"7-'V'I‘-I *,"P:J ,_» »u ~ =-=*»~" A-= »~#a;#%"@»~ ‘ “ " V“ ' "M ’ A<,‘£'-‘=r4~¥v~ 'i***"" ’*‘*" *5; “ ‘;"&1>?§".4||".k¢J+a..§l‘.F4><.w.“£~4Z!~"";‘T$£l:‘§L 1, . ... - _ -- _ - m .v.~:T('~_ .-..»" 4 W‘ v, _-. " 1 ‘E ' 1 :_ '- "‘ - 3,;-_‘}4:,'§j{,v -:~= *. -_,,‘.T",,._‘ -.c'»_-.'.-;-.14‘: K ‘ ‘ " "‘ - _ .. V» . --- ~ “ -‘~"i~» “"'§<1.I*:';‘- K * ' ‘ $m'""""'~‘* '34 . § ~ "‘1"" " .:V ..,= ‘ L.~-,-.<~- '- A... , .- ._ 4» »_. -- - - " ~-l . "'1' ‘-1;‘-"v~‘..-‘-‘-§Ff:;¢§1 '3,f;!T§ '7‘ .-q-%§‘<} 1 *' g ..-.=~ -1"f."<',;.~ ;-2§ga|_.rs._Jq 1.;'L§§':.!v< 1¢_ 1 ¢;..,.,< ‘ :- _3-_-. 1 - » l‘ ~ 1-, ‘.*»-.t»""-.3 -‘ --““xv;‘,, _§?“:*;§$=?*?3Z‘¥l'>?'7“%&‘5;$’-‘§%¥¢~=+.<_. . 1'".-*3’-jg?“-“”f',T~ .v .~*'. Qw =~*v~>3‘~'-=.=-<'=-""*'-T~*Y"* *"'*' ' “ ' ' ‘ ' - ~~’ '* ‘ 3*‘: “R I",‘;"“1f‘I.‘%.3‘1“‘51":"i::‘_?'">1““"7'“'_x7»‘)::"" J3‘ """'iH‘:3'a'7M ‘E '9‘ W 4 -- _ - . ~ ' "‘ §,"v¢-., -4. Y V .1 1-ft. .1 -I ' Q4. * ' I N} +‘4L A —vi4"-"“’CDA ‘M 1;-(L; ‘ A M L - Cy M 1. *1” =11 L%:%>"**“V: I») §7~’L~ 4”‘ <1 *1 = 9§v£+‘1£;‘5_{1)i__&67“B?5w‘AJx == ~-3% <3; -5,) ‘F If s-‘~‘1"b°‘T‘ ’ V, 1- »L=- ®*; '1." ‘- r'n*‘1:-_L<r.>+¢~c» »-"*5. 9 Q" .. A ‘9"‘5]>§+3-""_(C1, 5%‘ Qa > A" "._ Q" » _v_¢l?»)1"7?) ‘ ' ‘1= —£1-i_~f{ C.)M ‘ _‘:» .‘ - = 1w(x%;>*7(#%) M_ * .¢ " . I 1...; 1+~1~1 ,- a I I ~51 7‘ "?‘7‘(i;,i;,;*** W1») ‘Z, A vi“ =- (.. *1<5%> = -=-<%> **"Y ¢ % Z vwqy Q_+ 1- >< m.:. ~1<%>“+ 1»<%%>=1 WM@ L 7" =3 lJ-:-u- 1 -.-¢¢.x -+ L1c, -22., 1 -_ N+1 " %+j » 74 P"__'<;(:'.§ _ 7"__1> ..'L/7/ . _ L- . . x417 - "/ =: 0 Z . 1, ‘.1 '. ‘ W‘ I7 / H I L A 7, ‘ ’ 7 ,% 1, A ~ >°7+>W~“/ -%7#v<-;17Av%%=‘-7’ 1/ " % L -"~17 * -7&7 +1 ~+ #7 '. Put 7/2,5; FmD.E7Zb.Ml.L, <~,_-_ +- / f 7,4/_{1.+1‘](7,) “I > 7 -$5, +></7’ "a(~/.jT_I*“ 5"L -_';__, ;__ 1L 1 ’:~1/ " »; +;L_; ,- ~ V 7 L * * >¢7+><77->L7r-7?‘?-7"° 7’ ‘ , 1 _-A . , = Q <>~"+**1v-v”*~'&> "*1 =1-"@ .-’)(7,..I~7...7-l-7‘77:;0‘.. - Z ] L. Y L a4@ kLu41C)u0QJ%yL2¢~*1. L.d$M x.+ '>v;‘7(“‘1 - I “*7 '—"°.. . _£.;:,_;';_r ‘$_:£.'~~,g¢l;_, 3;-_»;_.;“__Z,§i<:.-;.f.1;¢;;;»j;§$;jv;§f~;;-, ' - *- .. ,‘ < ~.-2 .=' a . A". ‘ .5 ~'1*. "_+.‘1=‘uI-¢ ' ' v_ ~ .' ,- -'. .5 -. ?~ ’ ~*‘ :1. "i‘.‘.45$~t¢-~:.,.. .'¥-=::‘,;s-.->;:,~:-:.§_:-_};% ,_ .>=*-,_g‘__.,_%g-.=--~‘*1{.‘-;_4=»»;:§ :*=‘>- _. - ~ ~~ ““ "'l~1:..'-'.*":';V_.¢_;Ié‘;"‘1-’~f.‘-'23;‘ -,,__3!’l,-_-::.>~' '|?$“¢»-1‘ - -< "‘ ' “' .‘ > ,-;'-_¢._;‘._‘v_.._»_»,e--. .- ‘ >' '.1=--2..i,; < ‘ Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin Exercise 9.7 : Page 10 of 10 : Available on MathCity.org Chapter 9: Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin