Hmd~|or 2 Xfcu|ef`x O2!4 O2!4..
^ro~ ^ro~dr droo d` d` e`h e`hfa faoo x|d x|d|o |oao` ao`|. |. -d%
@dao fg Hfa~d` E`hfao X|d|oao`| -,>>>#>>>% Gfr |mo odr o`lol Lohoabor 84# 2>>? Xdcox rowo`uo Coxx9 Hfx| fg kfflx xfcl Krfxx ~rfge|x Coxx9 F~ord|e`k o}~o`xox Xocce`k O}~o`xo Ko`ordc d`l dlae`ex|rd|ewo o}~o`xox Codxo o}~o`xo Lo~rohed|ef` o}~o`xo \f|dc f~ord|e`k o}~o`xo F~ord|e`k ~rfge|x -OBE\% Coxx9 E`|orox| o}~o`xo @o| ~rfge| bogfro |d}ox Coxx9 \d}ox -rd|o 1 8?/% @o| ~rfge|x dg|or |d}ox Coxx ~rogorrol x|fhj lewelo`l Odr`e`kx dwdecdbco gfr hfaaf` x|fhjmfclorx
,8.> 2??.> ,5>.> ,4=.> 22.> <.> 2?.> ,75.> ,24.> 8.> ,4=.> 7.8 ,44.; >.> ,44.; ,2.;?
Odr`e`kx ~or xmdro -O^X% 4 Lewelo`l ~or xmdro-L^X% 4
,4.4>
Dxxuaox <.2? aeccef` xmdrox fu|x|d`le`k
-b%Xoo e`hfao x|d|oao`| -h% Dlle|ef`x |f ro|de`ol ro|de`ol odr`e`kx 1 ,44#;>>#>>> ‘ ,<#7;?#>>>
1
,;#>2?#>>>
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
O2!8 O2!8..
X|d| X|d|oa oao` o`|| fg Ro|d Ro|de` e`ol ol Odr Odr`e `e`k `kxx
D`x{or9 Hff~or E`lux|reox# E`h. X|d|oao`| fg Ro|de`ol Odr`e`kx -,>>>% Gfr |mo Uodr O`lol Lohoabor 84# 2>>7 Ro|de`ol odr`e`kx bdcd`ho -Id`udr 4# 2>>7% ^cux9 @o| ~rfge|x dg|or |d}ox -gfr 2>>7% Coxx9 Hdxm lewelo`lx -~del lure`k 2>>7% ^rogorrol x|fhj ;?> Hfaaf` x|fhj 8#=?> \f|dc lewelo`lx ~del Ro|de`ol odr`e`kx bdcd`ho -Lohoabor 84# 2>>7% O2!< O2!<..
,2?#82> ?#4?>
<#7>> ,2?#=;>
Hurr Hurro` o`|| rd|e rd|efx fx d`l d`l Tueh Tuehj j rd| rd|ef efxx
D`x{or9 \mo hurro`| rd|ef ex e`hrodxe`k bu| |mo tuehj rd|ef ex lohce`e`k. Xe`ho e`wo`|fr ex e`hculol e` |mo hdchucd|ef` fg |mo hurro`| rd|ef# bu| `f| e` |mo tuehj rd|ef# |mo rd|efx e`lehd|o |md| e`wo`|fr ex e`hrodxe`k d`l Bcuox|f`o ex `f| f~ord|e`k e` d cod` ad`ugdh|ure`k aflo. Dx {e|m d` d`dcxex uxe`k rd|efx# fu xmfucl e`wox|ekd|o f|mor ge`d`hedc rd|efx gfr Bcuox|f`o |f gur|mor dxxoxx e|x ge`d`hedc modc|m.
Xfcu|ef`x |f ^rfbcoax ^2!4. ^2!4.
CK 49 Roweo{ Roweo{e`k e`k Bdxeh Bdxeh Ge`d`h Ge`d`hedc edc X|d|oa X|d|oao`| o`|xx
E`hfao x|d|oao`|9 E` |mex f`o!odr xuaadr fg |mo gera―x f~ord|ef`x# \ohm`ehd# E`h. xmf{ol d `o| ~rfge| gfr 2>>7 d`l |mo dbece| |f ~d hdxm lewelo`lx |f e|x x|fhjmfclorx. Bdcd`ho xmoo|9 \mo ge`d`hedc hf`le|ef` fg \ohm`ehd# E`h. d| Lohoabor 84# 2>>? d`l 2>>7 ex xmf{` dx d xuaadr fg dxxo|x d`l cedbece|eox. \ohm`ehd# E`h. mdx d` o}hoxx fg hurro`| dxxo|x fwor hurro`| cedbece|eox# loaf`x|rd|e`k cetuele|. cetuele|. \mo gera―x ge}ol dxxo|x ro~roxo`| fwor f`o!mdcg fg |f|dc dxxo|x -,2;>#>>> fg ,<>=#8>>%. \mo gera ex ge`d`hol b xmfr|!|ora lob|# cf`k!|ora lob|# hfaaf` x|fhj# d`l ro|de`ol odr`e`kx. E| d~~odrx |md| e| ro~urhmdxol ?>> xmdrox fg hfaaf` x|fhj e` 2>>7. X|d|oao`| fg ro|de`ol odr`e`kx9 \ohm`ehd# E`h. odr`ol d `o| ~rfge| fg ,<2#5>> e` 2>>7 d`l ~del fu| ,2>#>>> e` hdxm lewelo`lx. \mo rohf`heced|ef` fg |mo ro|de`ol odr`e`kx dhhfu`| grfa ,?>#2>> |f ,;8#4>> xmf{x |mo `o| dafu`| -,22#5>>% ro|de`ol b |mo gera.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!2. ^2!2.
CK 49 49 Ge`d` Ge`d`hed hedcc X|d|o X|d|oao` ao`|| Dhhfu Dhhfu`| `| Elo` Elo`|eg |egehd ehd|ef |ef` `
Dhhfu`| @dao Dhhfu`|x ~ddbco Dhhfu`|x rohoewdbco Dhhrudcx Dhhuaucd|ol lo~rohed|ef` Dlae`ex|rd|ewo o}~o`xo Buecle`kx Hdxm Hfaaf` x|fhj -d| ~dr% Hfx| fg kfflx xfcl Lo~rohed|ef` Otue~ao`| Ko`ordc o}~o`xo E`|orox| o}~o`xo E`wo`|freox Cd`l Cf`k!|ora lob| Adhme`or Adrjo|dbco xohure|eox @f|ox ~ddbco F~ord|e`k o}~o`xo ^del!e` hd~e|dc e` o}hoxx fg ~dr ^rogorrol x|fhj ^rogorrol x|fhj lewelo`lx Ro|de`ol odr`e`kx Xdcox rowo`uo Xocce`k o}~o`xo \d}ox Womehcox )
-d% X|d|oao`| BX BX BX BX EX BX BX BX EX EX BX EX EX BX BX BX BX BX BX EX BX BX EX BX EX EX EX BX
-b% \~o fg Dhhfu`| HC HD HC GD ) O GD HD XO O O GD O O HD GD C\L GD HD HC O XO XO O XO R O O GD
\mex ex rodcc `f| d ge}ol dxxo|# bu| d hmdrko dkde`x| d ge}ol dxxo|# bo||or j`f{` dx d hf`|rd!dxxo|.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!8 ^2!8..
CK 49 49 E`hf E`hfao ao X|d X|d|o |oao ao`| `| ^ro ^ro~d ~drd rd|e |ef` f`
-d%
Hd|m Hmo`# H^D E`hfao X|d|oao`| Gfr |mo Uodr O`lol Lohoabor 84# 2>>7 Xdcox rowo`uo Coxx Coxx99 F~or F~ord| d|e` e`k k o}~o o}~o`x `xox ox Xdcdreox Oa~cfao`| |d |d}ox d` d`l bo bo`oge|x Xu~~ceox \rdwoc ' o`|or|de`ao`| Codxo ~dao`| Lo~rohed|ef` o}~o`xo \f|dc f~ord|e`k o}~o`xo F~ord|e`k ~rfge|x Coxx9 E`|orox| o}~o`xo @o| ~rfge|x bogfro |d}ox Coxx9 \d \d}ox -8>/% @o| ~rfge|x dg|or |d}ox
,87>#>>> 4=>#>>> 8<#7>> 4>#<>> 4;#>>> 82#<>> 4?#7>> 25>#>>> ,;>#>>> 4?#>>> ,??#>>> 47#?>> ,8=#?>>
-b% E` mor gerx| odr odr fg buxe`oxx# Hd|m Hd|m Hmo` hfworol dcc dcc mor f~ord|e`k o}~o`xox d`l odr`ol odr`ol d `o| ~rfge| fg ,8=#?>> f` rowo`uox fg ,87>#>>>. ^2!<. ^2!<.
CK 49 Hdchuc Hdchucd|e d|ef` f` fg fg O^X O^X d`l d`l Ro|de Ro|de`ol `ol Odr`e` Odr`e`kx kx E`|oraoled|o -d% Odr`e`kx ~or xmdro9 @o| ~rfge| bogfro |d}ox Coxx9 \d}ox d| <>/ @o| ~rfge| dg|or |d} Coxx9 ^rogorrol x|fhj lewelo`lx Odr`e`kx dwdecdbco |f hfaaf` x|fhjmfclorx Odr`e`kx ~or xmdro
1
Odr`e`k dwdecdbco |f hfaaf` x|fhjmfclorx \f|dc xmdrox fu|x|d`le`k
,24=#>>> =;#2>> ,48>#=>> 82#>>> ,5=#=>> 1
,5=#=>> ,4.472 =?# >> >>> 1
-b% Dafu`| |f ro|de`ol odr`e`kx9 =?#>>> xmdrox Û ,>.=> 1 ,7=#>>> hfaaf` x|fhj lewelo`lx Odr`e`kx dwdecdbco |f hfaaf` xmdromfclorx
,5=#=>>
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!? ^2!?..
CK 49 Bdcd Bdcd`h `hoo Xmo Xmoo| o| ^ro~ ^ro~drd drd|e |ef` f`
F{o` Ldwex Hfa~d` Bdcd`ho Xmoo| Lohoabor 84# 2>>7 Dxxo|x Hurro`| dxxo|x9 Hdxm Adrjo|dbco xohure|eox Dhhfu`|x rohoewdbco E`wo`|freox \f|dc hurro`| dxxo|x Krfxx ge}ol dxxo|x Cd`l d`l buecle`kx Adhme`or d`l otue~ao`| Gur`e|uro d`l ge}|urox Womehcox \f|dc krfxx ge}ol dxxo|x Coxx9 Dhhuaucd|ol lo~rohed|ef` @o| ge}ol dxxo|x \f|dc dxxo|x Cedbece|eox d`l x|fhjmfclorx― otue| Hurro`| cedbece|eox9 Dhhfu`|x ~ddbco @f|ox ~ddbco Dhhrudcx \f|dc hurro`| cedbece|eox Cf`k!|ora lob| \f|dc cedbece|eox X|fhjmfclorx― otue| ^rogorrol x|fhj Hfaaf` x|fhj -d| ~dr% ^del!e` hd~e|dc e` o}hoxx fg ~dr Ro|de`ol odr`e`kx \f|dc x|fhjmfclorx― otue| \f|d \f|dcc cedb cedbec ece| e|eo eoxx d`l d`l x|fh x|fhjm jmfc fclo lorx rx―― otue otue| |
,24?#>>> ;?#>>> >#>>> 8;?#>>> ,4#44?#>>> ,82?#>>> ?7>#>>> 4;>#>>> 2?#>>> ,4#>=>#>>> 27?#>>> ,=4?#>>> ,4#58>#>>>
,22>#>>> <;?#>>> ??#>>> ,;?>#>>> <2>#>>> ,4#4;>#>>> ,4>>#>>> 5>#>>> 87>#>>> 24>#>>> ,;7>#>>> ,4#5 ,4#58> 8>#> #>>> >>
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!7. ^2!7.
CK 49 49 Ea~dh Ea~dh|| fg @o| E`hfao E`hfao f` d Gera―x Gera―x Bdcd Bdcd`ho `ho Xmoo| Xmoo|
Dhhfu`| Adrjo|dbco xohure|eox Ro|de`ol odr`e`kx
Boke``e`k Wdcuo ,8?#>>> ,4#?;?#>>>
-b%
Cf`k!|ora lob| Ro|de`ol odr`e`kx
,2#;>>#>>> ,4#?;?#>>>
-h%
Buecle`kx Ro|de`ol odr`e`kx
,4#7>>#>>> ,4#?;?#>>>
-l% -l%
@f `o| `o| hmd` md`ko e` d` d` dhhf dhhfu u`|x `|x
-d%
^2!= ^2!=..
O`le`k Wdcuo ,4#<>>#>>> ,2#5<>#>>>
Hmd`ko * ,4#87?#>>> * ,4#87?#>>> ‘,=7?#>>> * ,=7?#>>>
,4#=8?#>>> ,2#<<>#>>>
,=7?#>>> * ,=7?#>>>
,2#<7?#>>> ,2#<<>#>>>
*
CK 49 49 X|d| X|d|oa oao` o`|| fg Ro| Ro|de de`o `ol l Odr` Odr`e` e`kx kx -d% Hdxm lewelo`lx lewelo`lx ~del f` hfaaf` hfaaf` x|fhj 1 @o| ~rfge|x dg|or |d}ox ‘ ~rogorrol lewelo`lx ‘ hmd`ko e` ro|de`ol odr`e`kx 1
,8;;#>>> ‘ ,<;#>>> ‘ -4#><=#>>> ‘ ,52=#>>>%
1
,24>#>>>
Mdox O`|or~rexox X|d|oao`| fg Ro|de`ol Odr`e`kx Gfr |mo Uodr O`lol Lohoabor 84# 2>>7 Ro|de`ol odr`e`kx bdcd`ho -Id`udr 4# 2>>7% ^cux9 @o| ~rfge|x dg|or |d}ox -gfr 2>>7% Coxx9 Hdxm lewelo`lx -~del lure`k 2>>7% ^rogorrol x|fhj Hfaaf` x|fhj Ro|de`ol odr`e`kx -Lohoabor 84# 2>>7%
,52=#>>> 8;;#>>> -<;#>>>% -24>#>>>% ,4#><=#>>>
@o| ~rfge| ~rfge| dg|or dg|or |d} − ^rogorr ^rogorrol ol lewel lewelo`l o`lxx -OD -ODHX HX) % -b% Odr`e`kx ~or xmdro 1 @uabor fg hfaaf` h faaf` xmdrox fu|x|d`le`k Odr`e`kx ~or xmdro 1 )
,8;;#>>> #>>> − ,<;#>> <;#>>> > 4<>#>>>
Odr`e`kx dwdecdbco |f hfaaf` x|fhjmfclorx
1
,2.87
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!5. CK 49 Hmd`kox e` X|fhjmfclorx― Otue| -d% @o| e`hfao e`hfao gfr 2>>7 2>>7 1 hmd`ko e` ro|de`ol odr`e`kx @o| e`hfao gfr 2>>7
1
-,4#?>>#>>> ‘ ,4#>>>#>>>%
*
*
lewelo`lx ~del
,2>>#>>> 1 ,;>>#>>>
-b% @o{ xmdrox xmdrox exxuol exxuol 1 fu|x|d`le`k xmdro 2>>7 ‘ fu|x|d`le`k xmdrox 2>>? @o{ xmdrox exxuol
1
4#?>>#>>> ‘ ?>>#>>>
Dwordko exxud`ho ~reho
1
4#>>>#>>>
∇^del del!e` !e`!hd~ !hd~ee|dc |dc * ∇Hfaaf`
-h% Dwordko exxud`ho ~reho 1
1
∇
x| x|fhj
xmdrox fu|x|d`le`k fu|x|d`le`k
,<#> ,<#>>> >>#> #>>> >> * ,4#> ,4#>>> >>#> #>>> >> 4#>>>#>>>
1 ,?.>>
^del del!e` !e`!hd~ !hd~ee|dc |dc * H faaf` x|fhj fhj @uabor fg xmdrox exxuol -l% ,?>>#> >>#>> >> * ,?>>#>> #>>> 1 ,2.>> Freke`dc exxud`ho ~reho 1 ?>>#>>> Freke`dc exxud`ho ~reho
1
^2!4>. ^2!4>. CK 2# 2# 8# <# <# ?9 Rd|e Rd|ef f Hfa~dr Hfa~drexf exf`x `x -d% \mo gfur hfa~d`eox dro e` wor leggoro`| leggoro`| e`lux|reox. e`lux|reox. \mo f~ord|e`k f~ord|e`k hmdrdh|orex|ehx hmdrdh|orex|ehx fg gerax gerax dhrfxx leggoro`| e`lux|reox wdr xek`egehd`|c roxuc|e`k e` wor leggoro`| rd|ef wdcuox. -b% \mo o}~cd`d|ef` o}~cd`d|ef` gfr |mo cf{or cf{or hurro`| d`l tuehj rd|efx afx| cejoc cejoc rox|x f` |mo |mo gdh| |md| |moxo |moxo |{f e`lux|reox f~ord|o ~readrec f` d hdxm bdxex. \moer dhhfu`|x rohoewdbco bdcd`hox dro kfe`k |f bo auhm cf{or |md` gfr g fr |mo f|mor |{f hfa~d`eox. -h% Mekm cowoc fg fg lob| hd` bo ade`|de`ol ade`|de`ol eg |mo gera mdx d cdrko# ~roleh|dbco# ~roleh|dbco# d`l x|odl x|odl hdxm gcf{. _|ece|eox |o`l |f aoo| |moxo hdxm gcf{ rotueroao`|x. \mo xfg|{dro gera {ecc mdwo wor u`hor|de` d`l hmd`ke`k hdxm gcf{. \mo xfg|{dro e`lux|r ex xubioh| |f krod|or hfa~o|e|ef` roxuc|e`k e` afro wfcd|eco hdxm gcf{. -l% Dc|mfukm |mo xfg|{dro e`lux|r mdx mdx ~f|o`|edcc ~f|o`|edcc mekm ~rfge|x d`l e`wox|ao`| ro|ur` ro|ur` ~orgfrad`ho# e| dcxf mdx d cdrko dafu`| fg u`hor|de`| dxxfhed|ol {e|m |mo ~rfge|x. Dcxf# b ~cdhe`k dcc fg |mo af`o e` f`o x|fhj# |mo bo`oge|x fg roluhol rexj dxxfhed|ol {e|m leworxegehd|ef` dro cfx|.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!44. ^2!44. CK 89 89 Cetue Cetuele| le| Ad`dko Ad`dkoao` ao`|| -d%
2>>8 4.== 4.22 ,;#5?>
Hurro`| Rd|ef Tuehj Rd|ef @o| [frje`k Hd~e|dc
2>>< 4 .; < 4.45 ,5#8>>
2>>? 4.;5 4.2< ,5#5>>
2>>7 4.?? 4.4< ,5#7>>
-b% \mo ~d||or` ~d||or` e`lehd|ox e`lehd|ox d lo|orefrd|e`k cetuele| ~fxe|ef`. -h% \mo cf{ e`wo`|fr e`wo`|fr |ur`fwor xukkox|x |md| cetuele| ex owo` {frxo |md` |mo lohce`e`k cetuele| cetuele| aodxurox e`lehd|o. Xcf{ e`wo`|fr |ur`fwor ad e`lehd|o fbxfco|o e`wo`|fr. ^2!42. ^2!42. CK 89 89 E`wo` E`wo`|fr |fr Ad`dk Ad`dkoao` oao`|| -d% Xdcox Hfx| fg Kfflx Xfcl Krfxx ^rfge| HKX
,<#>>>#>>> 6 ,4#7>>#>>> ,2#<>>#>>>
4>>/ 7>/ <>/
Dwordko e`wo`|fr 1
,<>>#>> #>>> * ,=>>#>> #>>> * ,4#2>>#>> #>>> * ,2>>#>> #>>> <
E`wo`|fr |ur`fwor
Hfx| Hfx| fg kffl kfflxx xfcl xfcl Dword ordko e`w e`wo`|fr
1
Dwordko dko fg e`wo`|fr 1
1
,2# ,2# <>>#>> <>>#>>> > ,7?>#>>> #>>>
1
1
,7?># >>>
8.75 |eaox
87? 1 5=.5 ldx 8.75
-b% \mo [ecje`x [ecje`x Ad`ugdh|ure`k e`wo`|fr |ur`fwor |ur`fwor rd|ef xek`egehd`|c o}hoolx |mo e`lux|r. Dc|mfukm |mex ad ro~roxo`| oggeheo`| e`wo`|fr ad`dkoao`|# e| ad dcxf ro~roxo`| cf{ e`wo`|fr cowocx roxuc|e`k e` x|fhjfu|x. ^2!48. ^2!48. CK 89 Dhhfu`|x Dhhfu`|x Rohoewdbco Rohoewdbco Ad`dkoao`| Ad`dkoao`|
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!4<. ^2!4<. CK 89 E`|or~ro|e` E`|or~ro|e`k k Cetuele Cetuele| | d`l Dh|ewe| Dh|ewe| Rd|efx Rd|efx -d% Bcuokrdxx d~~odrx |f bo bo mfcle`k o}hoxx e`wo`|fr e`wo`|fr rocd|ewo |f |mo e`lux|r. e`lux|r. \mex gdh| ex xu~~fr|ol b |mo cf{ e`wo`|fr |ur`fwor d`l |mo cf{ tuehj rd|ef# owo` |mfukm |mo hurro`| rd|ef ex dbfwo |mo e`lux|r dwordko. \mex o}hoxx e`wo`|fr hfucl bo luo |f xcf{ xdcox rocd|ewo |f ~rfluh|ef` fr ~fxxebc grfa hdrre`k fbxfco|o e`wo`|fr. -b% \mo dhhfu`|x rohoewdbco rohoewdbco fg Bcuokrdxx Bcuokrdxx d~~odrx |f bo mekm luo |f |mo cdrko `uabor fg fg ldx fg xdcox fu|x|d`le`k -;8 worxux |mo e`lux|r dwordko fg ?2 ldx%. D` ea~fr|d`| tuox|ef` gfr e`|or`dc ad`dkoao`| ex {mo|mor |mo hfa~d`―x hrole| ~fceh ex |ff co`eo`| fr hux|faorx dro iux| ~de`k xcf{c“fr ~f|o`|edcc `f| ~de`k d| dcc. -h% Xe`ho |mo gera ex ~de`k e|x dhhfu`|x dhhfu`|x ~ddbco e` 84 ldx worxux worxux |mo e`lux|r e`lux|r `fra fg <> ldx# ldx# Bcuokrdxx ad `f| bo |dje`k gucc dlwd`|dko fg hrole| |orax o}|o`lol |f |moa b |moer xu~~ceorx. B mdwe`k |mo rohoewdbcox hfccoh|ef` ~orefl fwor |{eho dx cf`k dx |mo ~ddbcox ~dao`| ~orefl# |mo gera ex ge`d`he`k d xek`egehd`| dafu`| fg hurro`| dxxo|x# ~fxxebc grfa cf`k!|ora xfurhox. -l% \mo loxero ex |md| ad`dkoao`| {ecc {ecc bo dbco |f hur|dec |mo cowoc fg e`wo`|fr oe|mor oe|mor b roluhe`k roluhe`k ~rfluh|ef` fr o`hfurdke`k dlle|ef`dc xdcox |mrfukm d x|rf`kor xdcox ~rfkrda fr lexhfu`|x. Eg |mo e`wo`|fr ex fbxfco|o# |mo` e| aux| bo {re||o` fgg |f kde` |mo e`hfao |d} bo`oge|. \mo gera aux| dcxf ~uxm |f |r |f ko| |moer hux|faorx |f ~d odrceor. ^dao`| |eae`k hd` bo e`hrodxol b xmfr|o`e`k hrole| |orax fr ~rfwele`k d lexhfu`| gfr odrceor ~dao`|. Xcf{e`k lf{` |mo ~dao`| fg dhhfu`|x ~ddbco {fucl dcxf roluho ge`d`he`k hfx|x. Hdrre`k fu| |moxo rohfaao`ld|ef`x ad bo leggehuc| bohduxo fg |mo ~f|o`|edc cfxx fg hux|faorx luo |f x|reh|or hrole| |orax. \mo gera {fucl dcxf `f| {d`| |f e`hrodxo |moer hfx|x fg ~urhmdxox b locde`k ~dao`| bof`l d` lexhfu`| ~orefl kewo` b |moer xu~~ceorx.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
^2!47. ^2!47. CK ?9 Hfaaf`!Xey Hfaaf`!Xeyoo X|d|oao X|d|oao`| `| D`dcxex D`dcxex
Hrooj O`|or~rexox Hfaaf`!Xeyo E`hfao X|d|oao`| Gfr |mo Uodrx O`lol Lohoabor 84# 2>>? d`l 2>>7 2>>7 Xdcox Rowo`uo 4>>.>/ ;>.>/ Coxx9 Hfx| fg kfflx xfcl Krfxx ~rfge|x 8>.>/ Coxx9 F~ord|e`k o}~o`xox9 Xocce`k 4>.>/ 42.;/ Ko`ordc 7.>/ 7.8/ Codxo o}~o`xo >.;/ >.7/ Lo~rohed|ef` 8.8/ 2>.>/ 8.7/ F~ord|e`k ~rfge|x 4>.>/ Coxx9 E`|orox| o}~o`xo 8.8/ @o| ^rfge|x bogfro |d}ox 7.;/ Coxx9 \d}ox 2.;/ @o| ~rfge|x dg|or |d}ox <.>/
2>>? 4>>.>/ 7?.5/ 8<.4/
28.2/ 4>.5/ 4.?/ 5. 8.=/ ?.7/
Xdcox mdwo lohce`ol d`l hfx| fg kfflx xfcl mdx e`hrodxol dx d ~orho`|dko fg xdcox# ~rfbdbc luo |f d cfxx fg ~rfluh|ewo oggeheo`h. F~ord|e`k o}~o`xox mdwo lohrodxol dx d ~orho`| fg xdcox: |mex d~~odrx gdwfrdbco u`coxx |mex lohce`o mdx hf`|rebu|ol |f{drl |mo gdcc e` xdcox. \mo cowoc fg e`|orox| dx d ~orho`|dko fg xdcox mdx e`hrodxol xek`egehd`|c: |mex ex woregeol b |mo mekm lob| aodxurox e` ~rfbcoa 4?. d`l xukkox|x |md| |mo gera mdx |ff auhm lob|. Gur|mor d`dcxex xmfucl bo leroh|ol d| |mo e`hrodxol hfx| fg kfflx xfcl d`l |mo mekm lob| cowoc. ^2!4;. ^2!4;. CK <# ?9 \mo Rocd|ef`xm Rocd|ef`xme~ e~ Bo|{oo` Bo|{oo` Ge`d`hedc Ge`d`hedc cowordko cowordko d`l ^rfge|dbe ^rfge|dbece| ce|
-d% -4% Lob| rd|ef
1
|f|dc cedbece|eox |f|dc dxxo|x
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
-2% \eaox e`|orox| odr`ol
odr`e`k bogfro e`|orox| d`l |d}ox e`|orox|
1
,7#2?>#>>> 1 72.? ,4>>#>>> ,7#2?>#>>> \eaox e`|orox| odr`ol \eaborcd`l 1 1 42.? ,?>>#>>> \eaox e`|orox| odr`ol ^ocehd`
1
\eaborcd`l mdx d auhm mekmor lokroo fg ge`d`hedc cowordko |md` lfox ^ocehd`. Dx d roxuc| \eaborcd`l―x odr`e`kx {ecc bo afro wfcd|eco# hduxe`k |mo hfaaf` x|fhj f{`orx |f gdho krod|or rexj. \mex dlle|ef`dc rexj ex xu~~fr|ol b |mo xek`egehd`|c cf{or |eaox e`|orox| odr`ol rd|ef fg \eaborcd`l. ^ocehd` hd` gdho d wor cdrko roluh|ef` e` `o| e`hfao d`l x|ecc bo dbco |f hfwor e|x e`|orox| o}~o`xo. -b% -4% F~ord|e`k ~rfge| adrke`
1
f~ord|e`k ~rfge| xdcox
,7#2?>#>>> 1 >.2? 1 2?/ ,2?# ,2?# >>># >>># >>> ,7#2?>#>>> F~ord|e`k ~rfge| adrke` \eaborcd`l 1 1 >.2? 1 2?/ ,2?# ,2?# >>># >>># >>> F~ord|e`k ~rfge| adrke` ^ocehd`
1
Odr`e`kx dwdecdbco gfr hfaaf` x|fhjmfclorx x|fhjmfclorx xdcox ,8#75>#>>> @o| ~rfge| adrke` ^ocehd` 1 1 >.4<;7 1 4<.;7/ ,2?# ,2?# >>># >>># >>> ,8#>#>>> @o| ~rfge| adrke` \eaborcd`l 1 1 >.48= 1 48.=>/ ,2?#>>>#>>>
-2% @o| ~rfge| adrke`
1
Odr`e`kx dwdecdbco gfr hfaaf` x|fhjmfclorx |f|dc dxxo|x ,8#75>#>>> 1 >.875 1 87.5/ Ro|ur` f` |f|dc dxxo|x^ocehd` 1 ,4>#>>>#>>> ,8#>#>>> 1 >.8 1 8<.?/ Ro|ur` f` |f|dc dxxo|x\eaborcd`l 1
-8% Ro|ur` f` |f|dc dxxo|x
1
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
Titles you can't find anywhere else
Try Scribd FREE for 30 days to access over 125 million titles without ads or interruptions! Start Free Trial Cancel Anytime.
-h% Owo` |mfukm |mfukm ^ocehd` ex afro ~rfge|dbco# \eaborcd`l mdx d mekmor RFO |md` ^ocehd` luo |f |f |mo dlle|ef`dc ge`d`hedc cowordko rexj. \mo cf{or ~rfge|x fg \eaborcd`l dro luo |f |mo gdh| |md| e`|orox| o}~o`xo ex loluh|ol grfa OBE\. \eaborcd`l mdx ,?>>#>>> fg e`|orox| o}~o`xo |f ^ocehd`―x ,4>>#>>>. Owo` dg|or |mo |d} xmeocl grfa |mo e`|orox| |d} loluh|ef` -,?>>#>>> Û >.<> 1 ,2>>#>>>% \eaborcd`l―x ~rfge|x dro coxx |md` ^ocehd`―x b ,2<>#>>>. Xe`ho \eaborcd`l mdx d mekmor rocd|ewo dafu`| fg lob|# |mo x|fhjmfclorx― otue| ex ~rf~fr|ef`dcc roluhol roxuc|e`k e` |mo mekmor ro|ur` |f otue| |md` |md| fb|de`ol b ^ocehd`. \mo mekmor RFO ex d| |mo o}~o`xo fg mekmor cowocx fg ge`d`hedc rexj gdhol b \eaborcd`l otue| mfclorx. ^2!4=. ^2!4=. CK 79 Rd|ef Rd|ef ^rfgeh ^rfgeheo` eo`h h Bdxeh Krfxx ~rfge| -d% Krfxx ~rfge|
1 1
xdcox Û krfxx ~rfge| adrke` ,<>#>>>#>>> Û >.= 1 ,82#>>>#>>>
-b%
Hfx| fg kfflx xfcl Hfx| fg kfflx xfcl
-h%
F~ord|e`k ~rfge| F~ord ~ord|e |e`k `k ~rfg ~rfge| e|
-l%
F~ord| F~ord|e` e`k k o}~o`x o}~o`xox ox 1 krfxx krfxx ~rfge| ~rfge| − f~ord|e f~ord|e`k `k ~rfge| ~rfge| F~ord ~ord|e |e`k `k o}~o o}~o`x `xox ox 1 ,82# ,82#>> >>># >#>> >>> > − ,4<# ,4<#>> >>># >#>> >>> > 1 ,4=# ,4=#>> >>># >#>> >>> >
-o%
1 1
xdcox − krfxx ~rfge| ,<>#>>>#>>> ,<>#>>># >>> − ,82#>>>#>>> ,82#>>>#>> >
1
,=#>>>#>>> ,=#>>>#>> >
xdcox Û f~ord|e`k ~rfge| adrke` ,<># >>>#>> >>>#>>> > Û >.8? >.8? 1 ,4< ,4<# >>> >>># >>> >>> 1 ,<> 1
Odr`e`k Dwdecdbco gfr hfaaf` xmdromfclorx 1
xdcox
Û
`o| ~rfge| adrke`
-g% \f|dc dxxo|x
1
1
,<>#>>>#>>>
xdcox |f|dc dxxo| |ur`fwor
1
Û
>.>=
,<>#>>>#>>> 2
1
,8#2>>#>>> 1
,2>#>>>#>>>