Aritmetica Analitica
September 27, 2022 | Author: Anonymous | Category: N/A
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Imdfjizfnl5 Frktbëtkdl Fmfaktkdl
^frif 6-Frktbitkdl Fmfaâtkdl
Istunkfmti Inmf Zldkl Safzfs Tlm DD 6306>6;33; ^idmlalhâf im Zihimdkf ni Ofrbfdkf YNZ Af Saftf —@ukaf
Dônkhl dursl :33?6:\689
^utlr Ibkadi Fstunkaal
Ymkvirsknfn Mfdklmfa Fjkirtf y f Nkstfmdkf Oumnfbimtls ni bftibætkdfs :?/3;/:3:3
Imdfjizfnl5 Frktbëtkdl Fmfaktkdl
^fjaf ni dlmtimknl
Kmtrlnuddkôm
…………………………………………………… ………………………………………………………. …. Sæh. 6
Ieirdkdkl #6
…………………………………………………… ………………………………………………………. …. Sæh. :
Ieirdkdkl #:
…………………………………………………… ………………………………………………………. …. Sæh. 4, >, 9,?.
Ieirdkdkl #4
…………………………………………………… ………………………………………………………. …. Sæh. 8,0.
Ieirdkdkl #>
…………………………………………………… ………………………………………………………. …. Sæh. ;, 63,66
Ieirdkdkl #9
…………………………………………………… ………………………………………………………. …. Sæh. 6:
Zioirimdkf
…………………………………………………… ………………………………………………………. …. Sæh. 64
6
Kmtrlnuddkôm
Im isti trfjfel trfjfel si dlaldf im prædtkdf als dlmdiptls fprimnknls, nurfmti ia prldisl ni af fdtkvknfn, kbpaibimtfmnl afs tëdmkdfs y prldinkbkimtls ni slaudkôm ni idufdklmis, y hræokdls im af ridtf mubërkdf, als tibfs slm5
Tkstibfs ni mubirfdkôm. Srlplrdklmfaknfn. Tkstibfs ni binknfs.
: Ieirdkdkl # 6
^fjaf : Srlpkinfn ni als Tkstibfs ni Mubirfdkôm
Mlbjri y fpiaaknls dlbpaitls
Mõbirl nia uatkbl nkhktl ni dinuaf
Mlbjri ni afs prlpkinfnis
Ieibpal ni idufdkôm utkakzfmnl ia inktlr ni idufdklmis Buatkpakdfdkôm 5
Inmf Zldkl Safzfs Tlm
( : Ø ; ) Ø 4 2: ( ; Ø 4 )2 ¼ 60 Ø 4 2: Ø :82 ¼ 9> 29>
;
Srlpkinfn fsldkftkvf rispidtl f af subf y
Tubf 5
buatkpakdfdkôm im als mõbirls rifais.
4? + ? 2:8 + 69 2¼ >: 2>:
( :8 + ; ) +?2 :8 ( ; +? ) 2¼
Nftls prlpkls
Ieirdkdkl # :
^fjaf > Tkstibfs ni mubirfdkôm
Mlbjri y Fpiaaknl s
Inmf Zldkl Safzfs Tlm
Yatkbl nkhktl ni su mõbirl ni dinuaf
;
Zislaudkôm ni als skhukimtis skhukimtis imumdkfnls
6. Zisuiavi af skhukimti lpirfdkôm lpirfdkôm usfmnl b.d.b y skbpakokdfmnl fa bæxkbl bæxkbl af ixpriskôm 5
4 6: 6;
+
6?
0
60 6; 6:
6;
+
0
0 > : 6
:00 6>> 8: 4? 60 ; 4
: : : : : 4 4
4>0 :00
∘:;
ø
2
6;
0
+
6:
0
Ø
?
:; 60
?
im imtl tlmd mdissi issi sfdfia sfdfia b. d . b ( 0,:00 )2 ¼
imtlmdis si buatkpakdf : Ø : Ø : Ø : Ø : Ø 4 Ø 4 2¼
b.d.b (0,:00)2:00
6
Imtlmdis si `fdi al skhukimti pfrf rislavir af prkbirf lpirfdkôm 5 6; 0
+
4>0
2
:00
?0> + 4>0
2
:00
634: :00
F`lrf si risuiavi af sihumnf lpirfdkôm 5 6; 0 6; Ø ? 66> ø 2 2 imtlmdis 6: ? 6: Ø 0 ;? 6: 6;
+
6?
0
∘:;
60 6; 6:
ø
634: 2
:00
2
634: Ø ;?
0
66>
?
;? 6:40> ?6;:
:00 Ø 66>
2
>63>
Inmf Zldkl Safzfs Tlm
2
:39:
2
43;? 63:?
2
;;38: 4:04:
69>0 964
2
2
>;94?
2
6?>6? 96? 686
2
:>8?0 0:30
68: 98
:. Ziprisimtf ia kmtirvfal ¼ im umf ridtf rifa y im niskhufanfn.
Niskhufanfn 5 ;
¼
Hræokdf 5
2¼
>
4.Zisuiavi af skhukimti ixpriskôm 5 f) 46; +¼
Inmf Zldkl Safzfs Tlm
6,6?:,:?6,>?8 + ¼ 6,6?:,:?6,>?8 + ( √6,446 ) Ø 0 + 6,6?:,:?6,>?8 + ( √63,?>0 ) + 6,6?:,:93,06; + 6,6?:,:93,06;
9>;,306
+
( ) 8>6
:
06 9>;,306
2¼
?,9?6 2¼
?,9?6 9>;,306
2
6,6?:,:93,06; Ø ?,9?6 + 9>;,306 Ø 6
6 ?,9?6 ¼ 8.?:99:0684
;
2¼
?,9?6
?,9?6
j) :√6; + ¼ √9:>,:00 + ¼ √9:>,:00 + ( √6;? ) √; +
(
9;4 >,3;?
)
9
2¼
8.44:0?6:4; √9:>,:00 + √:39 + 6.69:;:6939 2 ¼
)
(
√9:>,>;4 + √9:>,>;4
6 Nftls prlpkls
(
+
(
8.44:0?6:4;
6.69:;:6939 8.44:0?6:4;
)
2¼
2
6.69:;:6939
)
√9:>,>;4 Ø 6.69:;:6939+ 8.44:0?6:4; Ø 6
6.69:;:6939
2
√?3>,
6.69:
9
Ieirdkdkl #4
^fjaf ? Srlplrdklmfaknfn
Mlbjri y Fpiaaknl
Yatkbl nkhktl ni su mõbirl ni dinuaf
Srljaibfs fpakdfnls 6. Als kmsubls ni pfpiairâf qui `fy im af YMFN fadfmzfm pfrf ‑:;‒ nldimtis nurfmti
Inmf Zldkl Safzfs Tlm
;
606 nâfs. ¼Sfrf duæmtls nâfs fadfmzfræm isls kmsubls sk `fy fdtufabimti 46 nldimtis< Tlaudkôm 5 :; nldimtis 46 nldimtis x 2
Inmf Zldkl Safzfs Tlm
;
9?66 :;
606 nâfs x nâfs
26;4.> nkfs
:. Ym istunkfmti ni af YMFN midisktf trfsafnfrsi fa dimtrl pfrf als imduimtrls DKSFT, pfrf iaal, nidkni dlbprfr umf bltl duyl pridkl irf ni $6;¾333.333 duistf im af
? fdtufaknfn $:;¾?33.333 bæs. ¼Duæa is ia plrdimtfei ni fubimtl<
$6; ¾333.333 $:;¾?33.333
633 % x
x 2 :; ¾ ?33.333 26.99 6; ¾ 333.333 333.333
Ia plrdimtfei ni fubimtl is nia 6.99 % Nftls prlpkls
8
Ieirdkdkl #>
^fjaf 0 Tkstibf ni binknfs
Mlbjri y Fpiaakn l
Yatkbl nkhktl ni su mubir l
Knimtkokdfr skstibfs bëtrkdls
6. Nitirbkmi im b/s afs skhukimtis binknfs5 Af rfpkniz ni um piz5 6;,8 Gb/` 6g 26333 bitrls 6`lrf24?33 sihumnls gb 6333 b 6` 6;,8 2¼9,>8 b/s x x 6 gb 4?33 sh `
Inmf Zldkl Safzfs Tlm
(
;
) (
)
Af rfpkniz ni umf blsdf5 6; Gb/` 6` gb 6333 b 6; 2¼9,:8 b/s x x 6 gb 4?33 sh `
(
) (
)
Af rfpkniz ni af tkirrf im su ôrjktf5 :¾;33.333 Gb/` gb 6333 b 6` : ¾ ; 33. 33.333 333 x x 2 ¼ 039,999 b/s ` 6 gb 4?33 sh
(
Inmf Zldkl Safzfs Tlm
;
) (
)
:. Imdu Imduim imttri afs afs sk skhu huki kimt mtis is iquk iqukvf vfaaimdk imdkfs fs ni niaa Tk Tkstib stibff Kmh Kmhaaës fa Tkst Tkstib ibff Kmtirmfdklmfa5 >; ot 2\\ db 6ot 43.>0 dbs >;ot x dbs >; ot Ø 43.>0 dbs 26.>;4.9: dbs x 2 6 ot 4; km 2\\ bb 6 (km) 2 :9.> bb 6 km :9.> bb 4; km x bb 4; ∀ Ø :9.> bb x 2 6 ∀¼ 2;;3.? bb ¼ 6;; aj 2 \\ Gh
0 Af iqukvfaimdkf is 6 akjrf2 3.>9> gh 6 aj 3.>9> gh 6;; aj x gh 6;; aj Ø 3.>9> gh x 2 2;3.4>? gh 6 aj 4; nâfs 2 \\ s :> 4?33 sh 4; nk nkfs fs Ø `lrfs Ø 24,4?;,?33 sh 6 nkf 6 `lrf :; ³O2 \\\³G Srkbirl pfsfr als ³O f ℄ ℄ 2
9 ; 9
Ø
( :;√ 4: )
℄ 2 Ø (√4 ) ;
℄ 2√ 2√ 6.??
F`lrf als ℄ f f ³G ℄ G 2℄ + :84.69
℄ G 2√6.?? + :84.69 ℄ G 2:86.>;
Inmf Zldkl Safzfs Tlm ;
4. Auks bkni 6,;6b y pisf 0; gh. Ixprisf su istfturf im db y bb y su pisl im nfh y h. IT^F^Y SI ZF TL Db Bb Nf h h 0; gh x 633 nfh 0; gh x 6333 h 633 db 6333 bb 6,;6 b 6,;6 b 6b 6b
( )
(
)
Nftls prlpkls
Ieirdkdkl #9
^fjaf ; Imafdi vknil ixpakdftkvl
Mlbjri Istunkfmti
Ieirdkdkl prisimtfnl
Inmf Zldkl Safzfs Tlm
Ieirdkdkl#4 ^fjaf ?
Imafdi vknil ixpakdftkvl
; Srlplrdklmfaknfn Nftls prlpkls
Zioirimdkfs
Faix, B. S. (30 ni Ldtujri ni :36?). Bftibætkdfs Srloi Faix . Zidupirfnl ia :? ni Tiptkibjri ni :3:3, ni `ttps5//www.ylutuji.dlb/wftd`
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