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Apostila contrabaixo

  • 1. ! " # " $ % " & ' ! ( ! ( # ") & * & + & , - &. * ! * & / ! & # " 0 . & - 0 & $ ' 1 $ ! - ! / ! # & & - ' $ - & ! 2 ! * / ! & " 3 - # " 0 ' ( . & ! & 4 " & " 5 - 6 & 7 & ! ! " && 5 0 " & 1 & , 6 + " # 0 - ! # 1 8 1 9 ' + - + : $ ' ( . & $ 0 2 80 , - & - # $ &. 2 * & * 2 - 2 * & ;;; < &. $ ! & # * " * 2 =8 + & =8 > * * " # ! # 2 ") & 2 &. 2 ? ' 4 " <! ( * @ @ ! 2 # / ! & " # ' - -0 & # , & & & A;> & / ! # ( # 2 & % & # # / ' . & ;;; * +B $ ;;; &. % # 2 ! 2 % / ' # * ! % " , & ! * 2 - <$ "C > , / ! D - 0 &.=8 " * # D 2 * * # + , # / " # 0 ! / 2 / " - ! * # - # ? % / - 2 $ , D 2 % ") & $ ") & *B& & % / ! # ' E & $ 2 ' * * * + 0 # $ & # & # ' @ F * , & # 2 &. ! & ! # $ @ @ " G + ;;;
  • 2. " & ' " & & - * - $ # & # $ - # 2 - ! " & C * # 1 # - * - / ! " - # ( HHI0 D ( < > ! - 4 =================================================== =================================================== #=================================================== =================================================== , + 2 # - 2 % / ! ' ! - ( & =8 2 - + $ - - - + " <" , > ! " < > ! B " " & ! & / " # ' / - - - + " ! / " , - * # , & / ! & " - - * . & % 2 * 0 / " $ - 8 I JK I HI &. 2 / " , ! / D # I HK 2 ! ( 2 % ! ! & ! ( # I HI ! ! & / " " & D ! & $ 0 *B& & @! @ " & # * +B % # ! & 0 # - / - / ! 8 2 / D 0 $ * *B& & # # <- ;;; , * +B + - *B& & # > $ # & # & " G - - " 8 ' % / ! • L' * " - 1# , '* # - 1 # - 1 1" 8M 8 /$" " 1- 1 "! " , -'8" $* MN * " %" - 1# , '* # 1 $O , ,P1'- # - 1 " 1 8 Q 1 - " $# # ! 1 'L -R *'- *'! @ ' 8Q @ / @ 'L 8Q @ !" # ! # ! ! $ % &' & *'! " ' - "/" 1 - $M -'# ! 8 ! 1 O () ' & Q , '* ! 1*'1 # /" *'1 1 * $ /8 1 $1 8 # 2/ # 'L "/'* 8' '$#'- # ! 1 'L ,1 *8 $*1 * $* ,8 *7 /$# * " ! 1 - 1 -* 1' *'- $ 1 " " ' !/1 $2/ $* 1 /#7 /$# * " " " ' @ $- 1! # @
  • 3. * )((' & 2/ $ # " ' % # 2/ /" 1 /$#7 /$# *1 8M # $ ! 1* # - $* * - " ! 8M $ * *1 -M 8 % 8' - " ,8 *7 /$# " $ ! 1* # @* 2/ @ 8 % N ! 1 - " 1 /$#7 /$# - " ' *%"= /" " @ $- 1! # @" " # $','- 1 ! 8M % " - - C # / 8 0 ! # 1 # ' ! ( % 1 # ! " & D 8 D # # # # M + ! 1 ! * * & ! " # $ " % & '( ) + % * # +, - & " - . / - " & # ( ! $ % - $ , - • . + 2 % & / ' " S & + & # & - ! $ * + 0 $ # & # ") & - " # & - ? ! & 2 $ ! @1 @ 2 & " ! ( & , # , @* * * @ * * * G D % , G ") & ! - ( @ @ $ & / - ;;;; $ & # # 0 ;; + @- @ % TIU # ") & ! & & - , 6 M M 1V & $ " % @- @ % ' * +B 2 G $ ") & - ; * 2 " 2 / # - + S ! " & 1 % , @ @ ") & W * , & " , & ! 2 $ * " , & 1C & * +B * + 0 # 0 • . , # ! " ' 2 % + / D 1
  • 4. ! ( " 8 % / ' ! ! & , , - / " 2 ' ( & $ - # % # $ * # &. , # 2 , D / ! - & 8 $ 0 ! , 1 - & % - ! 2 ! / D * ! & *B& & • & - 1 G ! # # # " " ! ? W # ! & <, / X # YIZ> * & - - ! " 0 # $ ! &. 2 # E & # - , & " 2 % # (C& ! C& " - ! & . & -0 8 •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
  •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
  •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• , 3 4 / - $ & C ( ? B& & &C( & ( D + & C + & & B & 8 + = & <( E YIZ & + > + + & 0 & ( & & 0 + ( &. & 0 @& 0 @ + & ( & & & + $ ( A & & & < > & C < > & & & & , & ( & BA
  • 7. &C& . & & & ? + &C& 4 &C& . & & * & & C & 0 0 0 ;; ! & = ( & @ & @ & ` ( ( &. &C - 0 [ & C &. &0 + B & ( D &C& 8 + = & & & ! D & B < a> / & & & # & ================= # B =====================a # =====================J # C ===================H # 567 - aJH aHJ JaH JHa HaJ HJa aJH aJH
  • 8. aHJ aHJ aJH aHJ JaH JHa JaH JaH JHa JHa HaJ HJa HaJ HaJ HJa HJa , &C& ( & & & , `. & D & & & & & ! : # &C& +B & & B : D ( &. + & + ' B ;;;
  • 9. - & B& & B (C& & & + B B ( D & & 0 & B& & 0 B A . & A ( & & & & & 0 0 0 ( D &C& & & . & +B & E & & # & aJH aJHK JHKT HKTb + bcY=I cY=I= Y=I==a I==a=J &C& ( & ( +B @ @ ? @! @ B &0 & ; $ & . & &C& &. ( 2 D &. ( D 0 ( & & $ S & C & ( D 0 + 0 ( & + B& & < BA;> ! " $ S C& & ( & ! + & D &. & & & & + ( D 4
  • 10. # d & C( & & + + & & B 0 $ d ( & ( & C ( D ) & d & C & & & ( & & & ( D ) & % d ( & & ( 0 ( & E & S & ( B ) & C ) & B ( & & ( 0 & . & & + ( 4 & B ( " 4 % & + 0 B D & B & & 0 & & @ & & & @ & & & 4 #S 1B "C , 8 C #S % 0 ( ) & ' ! • " ⇒ 0 & 4 - # , • " ⇒ % . • ⇒ , D & -e e ,e & • ⇒ , D & + 4 + + & • # ⇒ % & E & D & D & + & & ( & ( & ; 4 H Kf & • - ⇒ : 4 -g g, & • * ⇒ % E & 4 -=# ,= & • ⇒ % E & 4-=-e #=#e & ! ( ) & ( & & ( + ( & & < & > & < + > () $* + , -+ ,
  • 11. ( . / " ( - & ( ) 0 S & B ( . & + B ( & & . & & & + B ( & & & & B ( & $ ( . / " 1 2 3 & #S & * & B ( J K #S B ( - , & ( & & & ( + 0 ) & & ( B J K & & ; & -< S> $ ( . / " 1 2 1 3 4 & - B ( J K - ; 4- e ( -Kf K ( E & B S ; 4 J K ( - + = K -K= & & ( & + & + ; 4 -d J K + - &. ( D -g B S ( D -d J K B ( D + - ( D
  • 12. 1 "! & + ( + + & & &. & 4 ( & S &. ( 8 ! = & & . & ! ( + & & B @# @ & B 0 ( . & • ! - 7 > ( 4 ! + 8 - & & + B 8 + & = & = & ( . & ( & &. & + 8 + & 8 + B + & B & (C& & C & 4 #'- 4 & & + : ( & & 8 D @M [ & $ @ 0 [ & B 8 +B ( & ( & & & a> & = % 8 & M +B & & & J> & . 9 = 0 & & & & B B & & ( & B &0 ) 0 h & & & & & & ( & 0 & ( S 0 0 + ( & - + & & + & ( 4 B & B & 1B & B & 8 B & " - & + & & & D = &. 0 & & <8 > & & ( B & & & & + 0 : / ; < - - 8 - ;
  • 13. " & ( & & + & & & ; + & & & & + & & ' & ( & @ 1B 8 " @ & ( B 4 & & & + ! + & & & & + & B & #S ! & 4 #S 1B 8 " * ( B 0 [ & + & = & 0 [ & B & + $ & + & + & & + 4 $ D 0 [ & 1 . * * $ & C & & &C& & & ( B& & & & - ( + 4 • - &C& 0 + ! & & ( + & - = ============================================H===J===a====================================================== ===== ==================================a===J====================a===J======================================== ===== =================H===J===a==============================================H===J===a========================= ===== =====a===J==============================================================================a===J===H====== ===== - > ===a=========================================================J===H======a============================= ========J===H==========================================a================================================ ===================a=======================J===H======================================================== =========================J===H======a=================================================================== 8 - =============================================================H===K===T===b==================== =========================================J===H===K===T======================================== ======================a===J===H===K=========================================================== ===a===J===H================================================================================= + 4 & ( D &C& & & ! =================================c=====b==================================================== ====a=======================b================T===============a================================ ========J=============T==========================K=======J==================================== ============H====K===================================H======================================== • ! ? 5 - - / . @
  • 14. & 0 ( &C& K 0 B + # K D + # ( + & # ( . & [
  • 15. • / ( ( & & & 0 ( B ( & & * + &C& ( & 0 &
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23. 2 5 1 & + = & ( D 0 + ' ( & =+ & & ) & 6A & & ( & & =+ # -< < ! < C ? > & =+ B & ( & & + & ( & & + B & & + & & C W B & +B + + ( & + & & & +B B + ( & + & C & & C ( . & B & & ( & + & & & + 0 & + ( & & + & . & B & <& 0 > & & + 0 ( & +B ( & ( ! B = + & ( & @ &0 @ ! 4 aII 7 ( & aII 7 B + 0 & + & KIU & & aII 7 B ( & HII 7 & ( & & & ( <& + & + KI U> & 0 & ( & & ( < ( + & ( ( & + 0 & > 0 ( & & =+ & & & 1 & = + D B & ( 0 & ( & ( C D ( & & " B 0 & = + B & & & D & + &0 ( & & & ( & =+ & B & O " # &0 = ( & & =+ !; - .+ -4 ( + ( D & ( ? ( & =
  • 24. + 4 .6 7 @ D @ & D D ( B % & @ @ & & =+ + ( ( B ' & , % ( ( ? ( D +B ( & 5 & ( & & B ( & ( ! = & ( +B & < & > & = & & -0 & ' 4 % +B ( & * +B ( B -0 : & ( * +B & 0 & & # M 5 " B B & - = ( & ' 8 9' 8 : & & & + $ 8 0 * +B & 0 & & -E & ( & - ( B & S ; 5 ; 5 ( & &. & & B - D ( 7 0 7 0 3 . $ & C + E & S & =+ & & 4 ( & & ! & ( & / & & - & & & C & S & S ( & D & B ( & + = D + & (S
  • 25. * & B & C + @ + @ & ( ( B *[ & ) & S [ & ( & @& & & [ & @ • [ & B & C & & 4 - A B % ( C C # - - A B % @ = @W ( C - C ( & - @ ., "-" " '$ &" <$"- & [ & D - > - - E @ @ & D S & & $ & & & ( ( = [ & & ( & [ & & B < > S & & D ( ) . & 0 0 0 0 ( & ( ? & ( ? 4 9 ( & ( - # < 9 & [ & [ & ( & ( & # < - + & - @ @ - % [ & # <- [ & + # ?8 . & [ & & 8 1 [ & B & + ( `. & <M D> [ & B S & B S & - " $ B & ; & * & [ & & $ & + [ & ( D & & & + & (S & & & & [ & ( = [ & ( + & 0 &
  • 26. & " $ B [ & B & & ( & & & ? & ? 0 [ & # & & + S & & B = & B + & 4 =" 0 6 4 => . . - & <T b" Y TgY b"gY Tgb" Tgb"gY> !# ) # ! %!# . & & ") & 4 $ M [ & " S & & & ( & & ( [ & & < > & & C & & & + & & & D & • . & & D . & : & ( S & < S & > + = ' & # = + & ''' & & . & B ( & a & & [ & + + (S ( & 0 ) . & < 0 0 0 < 0 < . . - . & @ C @ < b bg bgY bgYg> i ? + & = & + + 0 + & 0 • . % ? & 0 [ & ( & & & 0 [ & B & = @ + [ & @ & + [ & S & & & D = + [ & = C & [ & - & `. & 0 [ & & & = ( & & + & [ & ) . % ?
  • 27. * '' '''+ ' '+ '' * . . - * -9 & < Y b" bg b"gY> • . ) . - - .F B ( + & 0 [ & ) B & [ & B & = (C& ! & & = D ( S & = 0 0 [ & & S & # S & & & & B & B & (S S & & + ( S ! 0 C= & = & $ & & & = & S & & = & (F - . ! . .F * '' '''+ ' ' '' * . . - - .F & < T b" TgY b"gY TgYg Yg> @ & & " & & C & & `. & $ D & & & j [ S & & & & [ & & & & & & : S & 0 [ & & [ & " & & ? ( & 0 ? S & ! + B + 0 k Jk 8C " C #S & , C 8S& B & & [ & B @# @ ( & = & & C + & & B • G9 , & & [ & ! `. &
  • 28. • &F % # ( & < S > Tk & + " `. & & < ' ' ''' ' ''> DDC & • ( ?/ & . & : & < S > & ak B + D <#+> B & @Yk + D @ & & & [ & & B • )? / & # ( [ & < [ > Hk % & & <eH> • .? & C bk + D % ( & & [ & < [ > $ = D & ( `. & DD • !F. ( & & [ & ! . & • )F * & + D & & [ & <' > H <' > # B D ) & & 0 ) & ' 8 l$' = * a" J" H K T" b" c #P1'- = * a" J H K T" b c ,13 ' = * a J H K T b c 83#' = * a" J" H K T" b" c "'L 83#' = * a" J" H K T" b c P8' = * a" J H K T b c 8P-1' = * a J H K T b c 4 " [ = - j # j j , j j j j - " #S & = # j j , j j j j - j # " , C = j , j j j j - j # j " 8C = , j j j j - j # j j , " " C = j j j - j # j j , j " S = j j - j # j j , j j " 8S& = j - j # j j , j j j 8 .
  • 29.
  • 30.
  • 31.
  • 32. - > 8
  • 33.
  • 34.
  • 35. ! ? - - 8 .
  • 36. A " * " = + B& & + B & B& & D & + & ( D 4 ! DD & 44 - & & & & B & & B& & ( & ( . & & + &) & ( ( & & ! 5 - 6 ( D & &
  •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
  • 38. & 0 ) & C & C ( E & 4 & 0 &. & & =+ # &. & ( ? + S & & & 4 • $S + + & & ! & ( & + K T & ( ! & ( D & 0 & B ( & ' & & ( & , 4 ( m & & 0 1 & + = - = ( D * ( ( 0 & & ( & 1 & & ( ; & ; 8 & ( B & & ( " & D & ( ! L 4 B ( & S & = & + B ( & B 4 = 0 ( a & & = & + <& & > & & = & ( &0 = + ( = & ( D K I <& & > # B S • - 7 + = S C 5 * & & C & & ( & B & + " & & ! = 0 & + 0 ! = D S + < & > & < & + > ( +B & • , 4 / + & B & = + S B &. & & & / & 0 B & ( ( + S & + & & + & ( ( 0 & = # + & ( & S & & & & & & B ( B 0 = & ( & ( & ( & ? & ( 0 ( & ( ? 2 & B B & ( & ? & B .= B ( D = ( & ( & = 8 + = 4 ! B & S ( & & & & & + & +B & & ( & + 0 & = D & S ( &0 * ,-"
  • 39. ( B& & + & =+ + 4 8 ! 1 & + + & 1 - YYb nn" + & B& & & ? & @ h @ <& ( 6 & > = + @ @ &6 . & + & & 4 g <+ J & > # bg- <+ J & > $ & + & + ( & @ 0 +@ * B & + 4 *0 + < > 4 ! < & & B > " 4 + ( < & + > & & B & & + . ( "' $ ( & & & 0 + & & $ a ( & & & [ & & & & & $ J ( @+ @ @ h &0 @ & + &
  • 40. & & & & 0 & & & & . & 4 *0 + < > 4 ! < & & B > " 4 + ( < & + > 0 B S (C& & < & ( & > $ & @+ ? @ & & a ( S + & # -b" & & $ J ( & &0 ) & 8 ! -o & L!1 ( & + & & & b B & & B < + > ! & ( D ( +B 4 *0 + < > 4 ! < & & B > " 4 + ( < & + >
  • 41. ( ! -0 ( & &. &0 & B = =& & ( ) & + & & ( ? & D ! & &. & ( ? 0 D B + ( B & ") & ( ) & S & 4 - 0 .8 . ( & + &0 D ( & 0 [ & C ( & & ( & ( 4 & ( D ( [ [ & ( & & &0 + &0 & &0 & & B= & ( & D + 0 D 0 [ & ( B &0 B + + B = S + B & * D & & B + 0 - . ;
  • 42. * B & & ( & B & B & B + ( C B & ( & ( & ( ( & 4 & & & & C & + C & ( ( & D & & B ( & B &0 ( <0 =( > C " .&DE' C % / / - 9 - B [ & &C& ( & ( % / D 0 + & & 4 K & K &C& B J K & &. @ & ( & & ( &. ) & % / 8 + = + &. + 0 B ) & & & ) & &. & 0 + B& & + & & 0 & & @ ) & @ B B ( D ) & & + & + & ) & ! & & & & C % / 0 5 - 8 / ;;; &C& ( D & &. ( & & ( ( & @ @ ( D + ) & 2 & &0 & &B + & & 0 & & @& 0 & @ % / 0 . @ & ( @ @ & D 0 @ &. / + B &. & & &. 0 & 0 & & ( & &. ( & ) & & =+ @ <" [ > & + @ / + : + ;