Memoria de Calculo 03

7/23/2019 Memoria de Calculo 03

1/74

Gigkrhf mi jnjynk ' lkuhgijf

63

GIGKRHF MI JNJYNKJfzf @fbh}fjhd

FRV$ LKZ UHJ]KR GIDIZIZ JFGSKZ


2/74



lkuhgijfCagfhn$jkg `}}s 2 6$=8

Ekrgf aikg}rhjf mi nf snfd}f< Hrriaynfr

FARIAFMKZ

Aryizk


3/74



lkuhgijfCagfhn$jkg `}}s


4/74





5/74





6/74





7/74





8/74



lkuhgijfCagfhn$jkg `}}s 3$9 Gy ( '

Rieyir|k }rfdzuirzfn

Zisfrfjhd mi nkz fdhnnkz< Srhgir fdhnnk f 9 jgz? fn jid}rk 23 jg. in riz}k jkdekrgi fn jnjynk iz}ryj}yrfn$

Jkdekrgi f nfz D]J ME 233=$

Nkdah}ym mi mizfrrknnk

Uir snfdkz iz}ryj}yrfniz$

FDNHZHZ ZZGHJK

Id nf jkdzhmirfjhd vyi `fji nf jnfzhehjfjhd in rianfgid}k mi jkdz}ryjjhkdiz sfrf nf Jhymfm mi Jyirdfufjf Gkrinkz

Gphjk

39+63+2363

Frv$ Lkz Uhj}kr Gidiziz Jfgskz

Jim$ Srke$ 9=88925

M$R$K$

Srkshi}frhk


9/74





10/74





11/74


12/74


13/74


14/74


15/74

ILI DHUINJNFRK

6JNFRK 2 JNFRK :

JNFRK

=JNFRK 9

SRI]HN7FN]YRF

pSIZK GYRK

NKZF

F\K]IF7RIF

]RHBY]FRHF SKR

SIZK MI NKZF

NKZF

ID]RISHZK7R

IF ]RHBY]FRHF

SKR SIZK MI

NKZF

GYRK S$F$

(OA+G

]RFBI

(OA+G

SIZK

IZ]HGFMK

ZYGF Q

id (OA+GDKGBRI KBZIRUFJHKDIZ

: F\K]IF :$39 3$33 3$33 3$33 3$33 3$33 2302$16 3$33 3$33 630$33 2683$16 ]'6

F F\K]IF :$19 3$33 3$33 3$33 3$33 612$23 50=$=5 3$33 3$33 682$33 63=0$55 ]'2

0 ID]RISHZK 6$23 2$33 6$09 :$93 3$33 612$23 221:$:8 2390$95 828$00 682$33 9525$32 ]': @HSIRIZ]]HJF

F! ID]RISHZK =$59 3$33 3$33 3$33 3$33 612$23 50=$=5 568$10 828$00 2=3$33 25=5$:2 ]'=

F! ID]RISHZK 3$=3 3$13 3$33 3$33 3$33 SYD]YFN 2=252$60 ]'9 GDZYNF

JYFMRK MI BFLFMF MI JFRAFZ F UHAFZ ' Srkxij}k dfdjx


16/74

ILI

UHAF VYI

JFRAF Uy S Uy S Uy S

OHNKZ

]K]FN

IZ(S DKGBRIF ]2.]9.]9 :938$23 6:.530$31 6:.530$31 :3129 O6 UFNKR GFPH GK MI JFRAF Z

UFNKRIZ SFRF JFNJYNFR NFZ \FSF]FZ FHZNFMFZ

ILI

SRI]HN7FN]

YRFpSIZK

GYRK

NKZF

F\K]IF7

RIF

]RHBY]F

RHF SKR

SIZK MI

NKZF

GYRK S$F$

NKZF

ID]RISHZK7

RIF

]RHBY]FRHF

SKR SIZK MI

NKZF

GYRK

S$B$

ZYGF Q id

(OA+GDKGBRI BZIRUFJHKDI Z

6 6:1$15 2302$16 828$00 6009$83 806$9= 5361$03

: 6:1$15 =:53$88 828$00 :8=0$00 806$9= 63:98$39 JHG'2

0 6:1$15 2210$21 828$00 2352$80 806$9= 5:83$== JHG'6

JYFMRK MI BFLFMF MI JFRAFZ F JHGID]FJHD ' Srkxij}k dfdjx

KBZIRUFJHKDIZ

JYFMRK MI JKNYGDFZ


17/74


UIRZHKD 6$63 60+63+2330 JKD JFRAF YDHEKRGIGID]I RISFR]HMFJKDEKRGI F NFZ D]J'ME. GPHJKFY]KR< FRV$ LKZI UHJ]KR GIDIZIZ JFGSKZ lkuhgijfC`k}gfhn$jkg NFZ JINMFZ FGFRHNNFZ ZKD NFZ VYI ZI NNIDFD JKD MF]KZ

DKGBRI MI NF UHAF ]'6 iz}i iz in dkgbri vyi nniuf id in snfdk

m 7 68 jg iz in ufnkr mi ` ' rrijybrhghid}k r 7 2 jg rijybrhghid}k min fjirk f }idzhkd

fn}yrf mi nf uhaf sirfn}i "`" 7 23 jg zi rijkghidmf in 63) min nfrak mi nf uhaf Nfdj`k mi nf uhaf

b 7 2: jg zi rijkghidmf nf gh}fm mi `Nfrak mi nf uhaf Nkda 7 :$39 gjfraf ydhekrgi q Q 7 2.683$16 oa$g

rizhz}idjhf min jkdjri}k E!j 7 293$33 oa+jg2 6 Izjkahz}i nf ksjhkd 233 oa+jg2

EX 7 =.233$33 oa+jg2 rizhz}idjhf min fjirkjyfd}hf skr }igsirf}yrf 7 3$33: 3$332 zh nf uhaf dk iz}f f nf hd}igsirhi

3$33: zh nf uhaf iz}f f nf hd}igsirhi

EFJ]KR MI RIMYJJHKD F ENIPHKD Er 7 3$83E$ MI RIMYJJHKD F JKR]FD]I Er 7 3$03

jfnjynk mi jkdz}fd}ize , j 7 653$33 oa+jg2 e,j73$03 E!je " j 7 6:5$33 oa+jg2 e"j73$09 e , j

NF JFRAF GYIR]F HDJNYXI IN SIZK SRKSHK MI NF UHAF

JFNJYNK MIN SIZK MI NF UHAF MI JKDJRI]K

b 7 2:$33 g` 7 23$33 g

b p ` p 2=33 7 663$=3 oa+g sizk srkshk mi nf uhaf

Qy 7 2.:36$66 oa+g jfraf Q / in sizk srkshk mi nf uhaf

JFNJYNK MIN GKGID]K GFPHGK

Ggfp 7 2.519$15 oa'g Ggfp7(q p Nkda p Nkda + 0

JFNJYNK MIN SKRJID]FLI BFNFDJIFMK MI FJIRK

sb 7 3$3692 sb7(e"j + Ex p (=033 + (5333 / Ex

sgfp 7 3$366=: sgfp73$19psb 19) min sb

sghd 7 3$3325= sghd7(3$1 p rfh| e ! j + Ex

JFNJYNK MI YDF UHAF ZHGSNIGID]I FSKXFMF

MF]KZ

233

293

6 lkuhgijfC`k}gfhn$jkg
mailto:[email protected]:[email protected]


18/74


JFNJYNK MI NF JYFD]HF MI FJIRK

Ggfp 7 2.519$15 oa'g Gr7ErpBpmpmpe"jpvp(6'3$9pv

v2

' 2 v / GR[[[[ 7 3

Mizsilfdmk v x zhayhidmk in srkjimhghid}k f nf mirij`f ER,b,m2,Ej

vT2 ' 2 v / 3$33999=2=5 7 3

fpT2 / bp / j 7 3 p 7 'b (b '=fj v ' 2 v / 2.519$15 7 JIRK

Rizknuhidmk nf ijyfjhkd jyfmrf}hjf aidirfn 2f 85:.932$23

f 7 6$333 '3$9 v2

/ v ' 3$33999=2=5 7 JIRKb 7 2$333'

3$33999=2=5 p 633 j 7 3$999=2=536633 iz skr N7633 jg

v6 7 6$55515 'b / (b2

'=fj

2f

Zi yzf iz}i ufnkr v2 7 3$:::2= 'b ' (b2

'=fj

2f

s 7 3$36318 sfrf mhgidzhkdfr s7v2 p (e"j + Ex zi fsnhjk iz}f ekrgynf

Riuhzhd mi S gfp x S ghd

s gfp 7 3$366=:s ghd 7 3$3325=s s gfps s ghd

IZ JKRRIJ]K '4 3$36318 3$366=: Zhigsri zi mibid uirhehjfr iz}fz mizhayfnmfmiz

IZ JKRRIJ]K '4 3$36318 3$3325=zh zi jygsnid izkz 2 sfrfgi}rkz. iz ydf uhaf jkd fjirk bfnfdjifmk fn 19)



19/74


JFNJYNK MIN FJIRK ID ]IDZHKD

Iz}i fjirk fbzkrbirf nf eniphd mi nf uhaf x zi idjyid}rf id in nij`k hdeirhkr

Fz 7 =$98 jg2 Fz7spbpm

fnfgbrd 3$:61 3$5:: 3$893 6$251Dk$ Mi

ufrhnnf 6 2 : = 9 5 1 0 8

: 3$16: 6$=29 2$6:0 2$093 :$95: =$219 =$800 9$133 5$=6:= 6$251 2$9:= :$033 9$351 5$::= 1$536 0$051 63$6:= 66$=369 6$818 :$898 9$8:0 1$861 8$081 66$015 6:$099 69$0:9 61$06=5 2$093 9$133 0$996 66$=36 6=$296 61$636 68$892 22$032 29$5921 :$018 1$198 66$5:0 69$960 68$:81 2:$211 21$695 :6$3:5 :=$8690 9$351 63$6:= 69$236 23$250 29$::9 :3$=32 :9$=13 =3$9:1 =9$53=8 5$=6: 62$025 68$2:8 29$592 :2$359 :0$=10 ==$086 96$:3= 91$16163 1$861 69$0:9 2:$192 :6$558 :8$901 =1$93= 99$=26 5:$::0 16$29562 66$:=6 22$502 :=$32: =9$:5= 95$139 50$3=5 18$:01 83$120 632$358

ufrhnnfz dygirk

2 = 7 2$9: jg2 fvy izjklk nkz ufnkriz mi nf }fbnf mi frrhbf

: : 7 2$6= jg2 fvy izjklk nkz ufnkriz mi nf }fbnf mi frrhbf

7 =$51 jg2

zfjfmk mi nf }fbnf (s ehdfn =$51 =$98 in }ikrhjk dijizfrhk

Iz}i ufnkr mibi zir zhigsri nhairfgid}i hdeirhkr k sfrijhmk RIUHZFGKZ IN S EHDFNJKRRIJ]K 4 3$36380 3$366=:

s ehdfn 7 3$36380 s ehdfn7Fz+(bpm JKRRIJ]K 4 3$36380 3$3325=

Frifidjg2

Dgirk mi ufrhnnfz

: lkuhgijfC`k}gfhn$jkg


20/74


JFNJYNK MIN FJIRK SKR ]IGSIRF]YRF

Iz}i fjirk zi idjyid}rk id in nij`k zysirhkr

Zh nf uhaf zi idjyid}rf ipsyiz}f f nf hd}idsirhi zi yzfrf 3$33:Zh nf uhaf zi idjyid}rf srk}iahmf mi nf hd}igsirhi zi yzfrf 3$332

jyfd}hf 7 3$33:F!z 7 6$20 jg Fz7bpmpjyfd}hf

ufrhnnfz dygirk

2 : 7 6$=: jg2

' ' 7 ' jg2

7 6$=: jg2

6$=: 6$20

Zh in sirfn}i ribfzf nkz 19 jg. zi jknkjfrf id gimhk mi iz}i.fjirk skr }igsirf}yrf sfrf iuh}fr farhi}fghid}k id nf uhaf

JFNJYNK MI NKZ IZ]RHBKZ

Nkz iz}rhbkz fbzkrbid nfz eyir|fz jkr}fd}iz aidirfmfz fn hd}irhkr mi nf uhaf

jfnjynk mi nf eyir|f jkr}fd}i mi nf uhaf zhgsnigid}i fskxfmf

Uy 7 :.938$23 oa Eyir|f jkr}fd}i Uy7(QypNkda+2zh s 3$369

jfnjynk mi nf eyir|f jkr}fd}i vyi }kgf in jkdjri}k id nf uhaf

Ujr 7 6.035$9= oa

jnjynk mi nf zisfrfjhkd mi iz}rhbkz

Fi 7 3$5: jg Frif mi nf ufrhnnf vyi yzfrigkz jkgk iz}rhbk p 2 rfgfz

Ex iz}rhbk 7 2.:33$33 oa+jg Rizhz}idjhf mi izf ufrhnnf$ Fnfgbr d72:33? ufrhnnf7=233

Z6 7 62$55 jg

Z2 7 =3$=5 jgZ: 7 ::$05' jg DK]F< In Uy zi jkduhir}i id in S. vyi iz nf jfraf jkd vyi ziZ= 7 66$8:' jg Z7(ErpFipEipm+(Uy'Ujr jfnjynfd nfz jknygdfz

= lkuhgijfC`k}gfhn$jkg


21/74


JKDJNYZHKDIZ VYI ZI MHBYLFRFD ID IN SNFDK

DKGBRI MI NF UHAF 7 ]'6

sirfn}i ` 7 23$33 jgbfzi b 7 2:$33 jgrijybrhghid}k r 7 6$93 jgNkdah}ym mi uhaf 7 :$39 g

dygirk mi shi|fz dygirk mi ufrhnnf

Ufrhnnfz mi nij`k hdeirhkr 7 2 * =: * :


Ufrhnnf mi nij`k zysirhkr 7 2 * :' * '

Iz}rhbkz min dygirk 7 fnfgbrkdZisfrfjhd mi iz}rhbkz 7 6: jg zisfrfjhd id nkz ip}rigkz mi nf uhaf



22/74


UIRZHKD 6$63 60+63+2330 JKD JFRAF YDHEKRGIGID]I RISFR]HMFJKDEKRGI F NFZ D]J'ME. GPHJKFY]KR< FRV$ LKZI UHJ]KR GIDIZIZ JFGSKZ lkuhgijfC`k}gfhn$jkg NFZ JINMFZ FGFRHNNFZ ZKD NFZ VYI ZI NNIDFD JKD MF]KZ

DKGBRI MI NF UHAF ]'2 iz}i iz in dkgbri vyi nniuf id in snfdk

m 7 68 jg iz in ufnkr mi ` ' rrijybrhghid}k r 7 2 jg rijybrhghid}k min fjirk f }idzhkd

fn}yrf mi nf uhaf sirfn}i "`" 7 23 jg zi rijkghidmf in 63) min nfrak mi nf uhaf Nfdj`k mi nf uhaf

b 7 60 jg zi rijkghidmf nf gh}fm mi `Nfrak mi nf uhaf Nkda 7 :$19 gjfraf ydhekrgi q Q 7 6.3=0$55 oa$g

rizhz}idjhf min jkdjri}k E!j 7 293$33 oa+jg2 6 Izjkahz}i nf ksjhkd 233 oa+jg2

EX 7 =.233$33 oa+jg2 rizhz}idjhf min fjirkjyfd}hf skr }igsirf}yrf 7 3$33: 3$332 zh nf uhaf dk iz}f f nf hd}igsirhi

3$33: zh nf uhaf iz}f f nf hd}igsirhi

EFJ]KR MI RIMYJJHKD F ENIPHKD Er 7 3$83E$ MI RIMYJJHKD F JKR]FD]I Er 7 3$03

jfnjynk mi jkdz}fd}ize , j 7 653$33 oa+jg2 e,j73$03 E!je " j 7 6:5$33 oa+jg2 e"j73$09 e , j

NF JFRAF GYIR]F HDJNYXI IN SIZK SRKSHK MI NF UHAF

JFNJYNK MIN SIZK MI NF UHAF MI JKDJRI]K

b 7 60$33 g` 7 23$33 g

b p ` p 2=33 7 05$=3 oa+g sizk srkshk mi nf uhaf

Qy 7 6.6:9$35 oa+g jfraf Q / in sizk srkshk mi nf uhaf

JFNJYNK MIN GKGID]K GFPHGK

Ggfp 7 6.889$22 oa'g Ggfp7(q p Nkda p Nkda + 0

JFNJYNK MIN SKRJID]FLI BFNFDJIFMK MI FJIRK

sb 7 3$3692 sb7(e"j + Ex p (=033 + (5333 / Ex

sgfp 7 3$366=: sgfp73$19psb 19) min sb

sghd 7 3$3325= sghd7(3$1 p rfh| e ! j + Ex

JFNJYNK MI YDF UHAF ZHGSNIGID]I FSKXFMF

MF]KZ

233

293

mailto:[email protected]:[email protected]


23/74


JFNJYNK MI NF JYFD]HF MI FJIRK

Ggfp 7 6.889$22 oa'g Gr7ErpBpmpmpe"jpvp(6'3$9pv

v2

' 2 v / GR[[[[ 7 3

Mizsilfdmk v x zhayhidmk in srkjimhghid}k f nf mirij`f ER,b,m2,Ej

vT2 ' 2 v / 3$339282396 7 3

fpT2 / bp / j 7 3 p 7 'b (b '=fj v ' 2 v / 6.889$22 7 JIRK

Rizknuhidmk nf ijyfjhkd jyfmrf}hjf aidirfn 2f 19=.3=9$23

f 7 6$333 '3$9 v2

/ v ' 3$339282396 7 JIRKb 7 2$333'

3$339282396 p 633 j 7 3$928239399633 iz skr N7633 jg

v6 7 6$5056= 'b / (b2

'=fj

2f

Zi yzf iz}i ufnkr v2 7 3$:6:05 'b ' (b2

'=fj

2f

s 7 3$36365 sfrf mhgidzhkdfr s7v2 p (e"j + Ex zi fsnhjk iz}f ekrgynf

Riuhzhd mi S gfp x S ghd

s gfp 7 3$366=:s ghd 7 3$3325=s s gfps s ghd

IZ JKRRIJ]K '4 3$36365 3$366=: Zhigsri zi mibid uirhehjfr iz}fz mizhayfnmfmiz

IZ JKRRIJ]K '4 3$36365 3$3325=zh zi jygsnid izkz 2 sfrfgi}rkz. iz ydf uhaf jkd fjirk bfnfdjifmk fn 19)



24/74


JFNJYNK MIN FJIRK ID ]IDZHKD

Iz}i fjirk fbzkrbirf nf eniphd mi nf uhaf x zi idjyid}rf id in nij`k hdeirhkr

Fz 7 :$:0 jg2 Fz7spbpm

fnfgbrd 3$:61 3$5:: 3$893 6$251Dk$ Mi

ufrhnnf 6 2 : = 9 5 1 0 8

: 3$16: 6$=29 2$6:0 2$093 :$95: =$219 =$800 9$133 5$=6:= 6$251 2$9:= :$033 9$351 5$::= 1$536 0$051 63$6:= 66$=369 6$818 :$898 9$8:0 1$861 8$081 66$015 6:$099 69$0:9 61$06=5 2$093 9$133 0$996 66$=36 6=$296 61$636 68$892 22$032 29$5921 :$018 1$198 66$5:0 69$960 68$:81 2:$211 21$695 :6$3:5 :=$8690 9$351 63$6:= 69$236 23$250 29$::9 :3$=32 :9$=13 =3$9:1 =9$53=8 5$=6: 62$025 68$2:8 29$592 :2$359 :0$=10 ==$086 96$:3= 91$16163 1$861 69$0:9 2:$192 :6$558 :8$901 =1$93= 99$=26 5:$::0 16$29562 66$:=6 22$502 :=$32: =9$:5= 95$139 50$3=5 18$:01 83$120 632$358

ufrhnnfz dygirk

2 = 7 2$9: jg2 fvy izjklk nkz ufnkriz mi nf }fbnf mi frrhbf

6 : 7 3$16 jg2 fvy izjklk nkz ufnkriz mi nf }fbnf mi frrhbf

7 :$29 jg2

zfjfmk mi nf }fbnf (s ehdfn :$29 :$:0 in }ikrhjk dijizfrhk

Iz}i ufnkr mibi zir zhigsri nhairfgid}i hdeirhkr k sfrijhmk RIUHZFGKZ IN S EHDFNJKRRIJ]K 4 3$33819 3$366=:

s ehdfn 7 3$33819 s ehdfn7Fz+(bpm JKRRIJ]K 4 3$33819 3$3325=

Frifidjg2

Dgirk mi ufrhnnfz

: lkuhgijfC`k}gfhn$jkg


25/74


JFNJYNK MIN FJIRK SKR ]IGSIRF]YRF

Iz}i fjirk zi idjyid}rk id in nij`k zysirhkr

Zh nf uhaf zi idjyid}rf ipsyiz}f f nf hd}idsirhi zi yzfrf 3$33:Zh nf uhaf zi idjyid}rf srk}iahmf mi nf hd}igsirhi zi yzfrf 3$332

jyfd}hf 7 3$33:F!z 7 6$33 jg Fz7bpmpjyfd}hf

ufrhnnfz dygirk

2 : 7 6$=: jg2

' ' 7 ' jg2

7 6$=: jg2

6$=: 6$33

Zh in sirfn}i ribfzf nkz 19 jg. zi jknkjfrf id gimhk mi iz}i.fjirk skr }igsirf}yrf sfrf iuh}fr farhi}fghid}k id nf uhaf

JFNJYNK MI NKZ IZ]RHBKZ

Nkz iz}rhbkz fbzkrbid nfz eyir|fz jkr}fd}iz aidirfmfz fn hd}irhkr mi nf uhaf

jfnjynk mi nf eyir|f jkr}fd}i mi nf uhaf zhgsnigid}i fskxfmf

Uy 7 2.620$2= oa Eyir|f jkr}fd}i Uy7(QypNkda+2zh s 3$369

jfnjynk mi nf eyir|f jkr}fd}i vyi }kgf in jkdjri}k id nf uhaf

Ujr 7 6.::3$86 oa

jnjynk mi nf zisfrfjhkd mi iz}rhbkz

Fi 7 3$5: jg Frif mi nf ufrhnnf vyi yzfrigkz jkgk iz}rhbk p 2 rfgfz

Ex iz}rhbk 7 2.:33$33 oa+jg Rizhz}idjhf mi izf ufrhnnf$ Fnfgbr d72:33? ufrhnnf7=233

Z6 7 21$3= jg

Z2 7 2=9$2= jgZ: 7 :=$58' jg DK]F< In Uy zi jkduhir}i id in S. vyi iz nf jfraf jkd vyi ziZ= 7 65$23' jg Z7(ErpFipEipm+(Uy'Ujr jfnjynfd nfz jknygdfz

= lkuhgijfC`k}gfhn$jkg


26/74


JKDJNYZHKDIZ VYI ZI MHBYLFRFD ID IN SNFDK

DKGBRI MI NF UHAF 7 ]'2

sirfn}i ` 7 23$33 jgbfzi b 7 60$33 jgrijybrhghid}k r 7 6$93 jgNkdah}ym mi uhaf 7 :$19 g


Ufrhnnfz mi nij`k hdeirhkr 7 2 * =6 * :


Ufrhnnf mi nij`k zysirhkr 7 2 * :' * '

Iz}rhbkz min dygirk 7 fnfgbrkdZisfrfjhd mi iz}rhbkz 7 21 jg zisfrfjhd id nkz ip}rigkz mi nf uhaf



27/74

Hdmhji< Uhaf ~ Jfrafz ~ Arehjk mi jfrafz ~ Rifjjhkdiz ~ Ijyfjhkdiz aidirfniz ~ Jfgskz ~ Izjyfjhkdiz zhgsnhehfmfz ~ Arehjkz ~

Ufnkriz ~ Ufnkriz gphgkz ~ Mi}fnniz min jnjynk ~ Kb}idir ufnkriz sfrf jyfnvyhir jk}f ~ Ufnkriz id fnaydfz jk}fz

Mf}kz

Uhaf

Nkdah}ym< 0$993333

Uhaf jkd}dyf zhd igsk}rfghid}kz$ @hsiriz}}hjf$

Fskxk d 3 jk}f< 3$333333 mizjidzk< 3$333333

Fskxk d 6 jk}f< 6$233333 mizjidzk< 3$333333

Fskxk d 2 jk}f< :$233333 mizjidzk< 3$333333

Fskxk d : jk}f< 9$393333 mizjidzk< 3$333333

Fskxk d = jk}f< 0$993333 mizjidzk< 3$333333

Infz}hjhmfm< 2633$333333

Hdirjhf< =3333$333333

Ydhmfmiz\'3$33333346 '9525$323323>\'0$99333346

G7 /61==$800698>\'3$3333334 6 /66:23$038913>\'6$2333334 6 /1362$139955>\'

:$23333346 /68881$099=58>\'9$3933334 6 /0325$66:206>\'0$9933334 6

'9525$323323>\'3$33333342+2 /9525$323323>\'0$99333342+2

Jfgskz\'3$53333343

/6655=$398913>\'6$:3333343

G7 '6:530$351:0:>\'3$33333346 /29212$62589:>\'3$53333346

'6655=$398913>\'6$:3333346

Jfgskz

Memoria de Calculo 03

Documents

Transcript of Memoria de Calculo 03