Trabajo Colaborativo N°8

 

^\HLHOE DECHLE\H^J@E @¶2 Lmctrh` Dhccjraes Dbmre Tucce` CujsArmtbmcc MnuhrneBjch`mm Dêspmnms \hkes Khrëh Ouèrmz Buhkè` Hccjse` Erezde Dere`hne Khrje Vh`th Etmre Hcmssh`nrh Vhrmnms Ècvhrmz Armydj \myms @ÿømz Amrhrne

A\]VE 8

 

Momrdjdje @¿8 Tm nmsmh njsmøhr u`h decuk`h nm rmdtjijdhdjô`  phrh smphrhr 86 666 ga/b nm u`h kmzdch qum de`tjm`m >6 % nm lm`dm`e y 96 % nm tecum`e, de` nm eltm`mr prenudte de` :1 %mcnmij`lm`dm`e y u`u` prenudte nm nmstjchne dech de` :2% nm tecum`e. ^enes mstes perdm`thoms mstè` m`  pmse. Tm utjcjzhrè u`h rmchdjô` nm rmicuoe mxtmr`h nm 4,=. ch hcjkm`thdjô` ms cëqujnh h su tmkpmrhturh nm mluccjdjô`. Dhcduchr? h) Ces dhunhcms nm nmstjchne y rmsjnue  prenudjnes.  l) Mc `ÿkmre nm pchtes jnmhcms

 

TEC]DJÔ@

Dhcduch`ne I m` gkec/b

Dhcduch`ne irhddje`ms kechrms

 

Dhcduch`ne ces dhunhcms nm N y Q. Lhch`dm tethc? I ; N + Q

N ; 889.=6 - Q

Lhch`dm phrdjhc nm lm`dm`e?

889.=(6.>>) ; (889.=6 — Q) (6.:1) + 6.6

 l)Bhy Bhy 2 pchtes jnmhcms.

6.4

 

6.<

6.8

6

6

6.8

6.<

6.4

6.>

6.=

6.9

6.1

6.2

6.:

8

 

Momrdjdje @¿< Tm nmsmh nmstjchr u`h kmzdch cëqujnh nm lm`dm`e (H) — tecum`e (L) m` u`h terrm nm nmstjchdjô` h 8 htk nm prmsjô` tethc. Ch hcjkm`thdjô` ms nm 866 kecms/b y su dekpesjdjô` ms >=% kec nm lm`dm`e y ==% kec nm tecum`e. Tm nmsmh eltm`mr u` nmstjchne qum de`tm`ah :=% kec nm lm`dm`e y =% kec nm tecum`e y u` rmsjnue qum de`tm`ah 86% kec nm lm`dm`e y :6% kec nm tecum`e. Dhcduchr? h) \micuoe tethc.  l) \micuoe kë`jke. d) Mc `ÿkmre nm pchtes tmôrjdes phrh u`h rmchdjô` nm rmicuoe nm >?8 y u` vhcer q nm 8.8:= . n) Mc pchte ne`nm sm j`trenudm ch hcjkm`thdjô`.

 

Tecudjô`? Y

N 6.:= L 6.6= ^

Lhch`dm tethc? I ; 866 kec/b 6.>= L 6.== ^

I;N+Q N ; 866 — Q

C

Lhch`dm phrdjhc nm lm`dm`e? Y¾

866(6.>=) ; (866-Q) (6.:=)+ Q(6.86)

C¾

6.86 L 6.:6 ^

 

Njharhkh Njharh kh nm mqujcjlrje cëqujne - vhper  v hper 

Njharhkh x-y? 8.66

^ (¶D)

Vv (H) (kkBa) Vv (L) (kkBa) V tethc (kkBa)

θ

6.:6

26.8

1=:.:9

=.:1

196.66

6.84

6.>

 ; 8.8=:

6., m`te`dms?  ernm`hnh nm ch cë`mh nm rmdtjijdhdjô`  

; ernm`hnh nm ch cë`mh nm rmdtjijdhdjô`

ernm`hnh nm ch cë`mh nm rmdtjijdhdjô` ; 6.8: Njharhkh Njharh kh nm mqujcjlrje cëqujne - vhper  8.66 6.:6 6.26 6.16 6.96 6.=6 6.>6 6.46 6.6 6.46 6. 6.4= 6.4

6.:::::::::::::2 ->>>=91M-89 -6.6=66666666666664

 

Momrdjdje 6< Tm tjm`m u`h decuk`h nm nmstjchdjô` irhddje`hnh ne`nm j`armsh` nes hcjkm`thdje`ms7 sjm`ne ch prjkmrh nm ;

 ;4.=> + 8.11 ;=.48

 < ∜  8   < ∜  8

;

 < ∜ 6.1< 6.4 ∜ 6.9

 62

Cumae?   ; +  8   8 ;4.=> + 8 ( < ) ;=.=> ‼ 

Cumae sece u`jkes mc pu`te 6.>62 hc pu`te 6.6< eltm`jm`ne `umstrh cë`mh nm haethkjm`te phrh cumae trhzhr ces pchtes deke sm kumstrh m` ch arèijdh

 ‼ ; + ( 8 ∜  8 )  8 ;=.48 + 6 ; =.48

 

 

\MTV]MT^H? Mc `ÿkmre nm pchtes rmqumrjnes se` 9 pchtes phrh cearhr nmstjchr h u`h dekpesjdjô` nm

shcjnh nmc :9% nm ch prj`djphc susth`djh.  

NMT^JCHDJÔ@ DE@ DEC]K@H MKVHDHNH. Chs terrms mkphdhnhs, mkpcmhnhs phrh msthlcmdmr de`thdte de`tj`ue m`trm u` ahs y u` cëqujne iu`nhkm`thckm`tm lhoe icuoe h de`trhderrjm`tm, se` decuk`hs vmrtjdhcms qum bh` sjne ccm`hnhs de` mkphqums e njspesjtjves nm u`h mcmvhnh èrmh supmrijdjhc. M` mstes mqujpes mc cëqujne ms njstrjlujne per m`djkh nm ch terrm y sm msdurrm h trhvês nmc cmdbe mkphdhne, mxpe`jm`ne u`h mcmvhnh èrmh supmrijdjhc nurh`tm su de`thdte de` mc ahs (Lm`jtmz, :4.= 6.6> 6. 2:.4 21.1 2>.> 28.1 12 1=.4

6.62 6.8 6.8= 6.< 6.4 6.>

6.49= 6.>82 6.=81 6.=1: 6.99= 6.1= Hauh

xQ;6.6> LHCH@DM VH\DJHC? IxI;QxQ+NxN Q; 889.=4 gakec/b

 

NH^ET NM MX]JCJL\JE ^ (¿D) R Z 866 6 6 :9 6.6< 6.84> :4.= 6.6> 6. 2:.4 6.62 6.49=

8 6.: 6.2

21.1 2>.> 28.1 12 1=.4 14.8 18.<

6.8 6.8= 6.< 6.4 6.> 6.= 6.9

6.>82 6.=81 6.=1: 6.99= 6.1 6.4

6.8 6

6

6.8

6.<

6.4

6.>

6.=

6.9

6.1

6.2

6.:

8

 

•

Dhcduce nmc rmicuoe y mc `ukmre nm mthphs?

   ;

     + 8

8 6.: 6.2

  ;6.>4

6.1 6.9 6.=

\; 6.21

6.> 6.4 6.<

6.8 6

6

6.8

6.<

6.4

6.>

6.=

6.9

6.1

6.2

6.:

8

 

 @úkmre nm u`jnhnms nm trh`simrm`djh

•

Tmddjô` nm m`rmqumdjkjm`te? x

y

y*

8/y*-y

Km nj h

y

J`tm arhc

6.22 6.26

6.22 6.2>

6.:>: 6.:8=

8>.>6: 8>.698

8>.

6.=8>

6.16 6.96 6.=6 6.>61

6.26 6.1= 6.16 6.99

6.216 6.289 8>.646

84.:82 84.94: 84.>=: 84.1

6.9>1 6.94> 6.92% m`  pmse nm kmth`ec. Ch hcjkm`thdjô` h`tmrjerkm`tm prmdhcm`thnh sm j`trenudm h ch decuk`h. Nm ch decuk`h sm mxtrhm u` nmstjchne de` 22 % m` pmse nm kmth`ec y u`es ie`nes de` 86% m` pmse nm kmth`ec. Mc nmstjchne sm de`nm`sh tethckm`tm y mc cëqujne y mc rmicuoe shcm` h su tmkpmrhturh nm mluccjdjô`. Tm vh h utjcjzhr u` rmicuoe nm < vmdms mc kë`jke. Tj ch BEA m` ch smddjô` nm m`rjqumdjkjm`te iumrh nm 6.1= k µDuèc smrëh ch hcturh nm msh smddjô`5

 

Y

N;

RN;

6.22 q; 8.98 VK Kmth`ec? 4<

C7 Rc

VK hauh? 82 De`vmrsje`ms? I; =96  Rk km mth` h`ec ec; ; 6. 6.>2 >2 R hauh;

6.=<

Q;

R w;

6.8

 

LHCH@DM ACELHC

\miuoe kj`jke

LHCH@DM VH\DJHC  

 

Z;

6.== k

6.26

6.26

6.26

6.26

6

6.9==

6

6.9==6 k

6.6= .6=22

6.6= .6=22

6.4:= 6.9198: 6.9198::<

6.4><

6

6.4>811<

6. 4><

6 .2

< . 2 :: 8 :=

y 6.8 .8: :1

6.8 .8: :1

6.9=>

6.6=22

6.6=22

6.=

6.21:

6.6=22

6

6.=9

8.68>

 

8

8

6.:

6.:

6.2

6.2

6.1 6.1 6.9

6.9

6.= 6.= 6.> 6.>

6.4 6.<

6.4

6.8

6.<

6

6

6.8

6.<

6.4

6.>

m quj qujcc jlr jlrjj e rmd idhdj ü`

6.= c j`m j`mh h e`ne

6.9

6.1 hcj km hcj km `t `t hd hd jü` jü` \kj`

6.2

6.:

8

6.8

6

6

6.8

6.<

6.4

6.>

6.=

6.9

6.1

6.2

6.:

8

 

Mthphss tmerjdhs Mthph

x

y

8

6 .2 6

6 .2 6

6 . == 9 4

6 .2 6

6 . == 9 4

6 . 1 1

6 .= >

6 . 89 > 1

6 . < =4

6 . 6> 9 4

6 .< =

6 . 6> 9 4

6 . 6 49

6.: 6.2

8

6.1 6.9

<

6.= 6.>

4

6.4 6.<

>

6.8 6

=

6

6.8

6.<

6.4

6.>

6.=

6.9

6.1

6.2

6.:

8

 

Tmddjô` nm m`rmqumdjkjm`te x

y

y*

8/y*-y

Kmnjh

y

J`tmarhc

6.22 6.26

6.22 6.26

6.:>: 6.:8=

8>.>6: 2.:=9

88.924

6.62

6.2:9

6.16

6.11

6.216

86.8::

:.=12

6.64

6.468

6.96

6.1>

6.2<

88.69

6.=6

6.18

6.11:

8>.482

84.626

6.64

6.>88

^ethc

8.:=4

Tmddëe` haethkjm`te x

y

y*

8/y*- y

Kmnjh Km

y

J`tmarhc

6.><

:1.:68>

6.> 6.4

6.92= 6.=6<

6.1>>21 -8..9= ¶D 

 

H

L

D

LM@DM@E

9.:6=9=

8. 6

G .==:

G9

Dècduce nm chs vechtjcjnhnms rmchtjvhs, de` rmspmdte hc dekpe`m`tm dchvm pmshne.         ,  ; ;  4 ;    b    4

•

Z Q.8;

6

Z Q.;

6.489

Dècduce nm chs vechtjcjnhnms rmchtjvhs, de` rmspmdte hc dekpe`m`tm dchvm cjamre.         ,  ; ;  4 ;       4  4

θ 8.4;

=.>>8

θ 8.4;

>..1:1 Z ^HLCH.= ^hlch 4.Irhddje`ms kechrms m` mc nmstjchne?  R N.8; 6.>81  R N.  R N.>; 6.666

^hlch >.Irhddje`ms kechrms m` ces ie`nes? R Q.8 6.666 R Q.< 6.66: R Q.4 6.981 R Q.> 6.41>

\mmkpchzh`ne nhtes?

c`

   + 8 ;

@ kj`;8< •

W(

 

6.=12= 6.66>< c`

)(

^hlch =. Yechtjcjnhnms Yechtjcjnhnms \mchtjvhs Kmnjhs θ 8.4 (kmnjh); >. 1:1 θ