Practica Dirigida N 3

 

]FLXM^ZLCGC FGJLKFGD G@^G^LG DG OKDLFG HGJ]DSGC CM MJKFKOLG \ YDGFLHLJGJLKF J]^ZK1 MJKFKOLG @MFM^GD Y^KHMZK^1 YMSEM^ DKYMQ @G^JLG

JLJDK 1 >9>9-

LL

Y^ÇJSLJG CL^L@LCG F±: L.

H]FJLKFGOLMFSK CMD OM^JGCK

7. Cmhflr1 g) Omrjgck Omrjgck (Cmogf (Cmogfcg cg , Kmrtg y Mquldlnr Mquldlnrlk lk cm Omrjgck) Omrjgck) n) Zls Zlstmog tmog cm pr prmj mjlk lkss j) Slpk Slpkss c cm m omr omrjg jgck ckss

LL.

SMK^MOG CM DG CMOGFCG

>. »Juçd ms dg clmrmfjlg mftrm uf —jgonlk mf dg jgfcgc cmogfcgcg‟ y uf —jgonlk mf dg cmogfcg‟; Oumstrm dg clmrmfjlg mf ufg `rçhjg. :. Zl dg jgfcgc cmogfcgcg cm uf nlmf ms 799 uflcgcms y su prmjlk ms 79 skdms y ngag g :9 uflcgcms jugfck md prmjlk guomftg g =9 skdms. Egddm y `rghqum dg mjugjlúf cm dg cmogfcg. 3. Cgcg dg sl`ulmftm ufjlúf cm cmogfcgcg oldk1

W coldk ? h (Yoldk, Yblwl`mf, Ydmjem, L) g) Lcmfhqum Lcmfhqum dgs vgrlgn vgrlgndms dms qum cmnmf cmnmf pmrogf pmrogfmjmr mjmr jkfstgft jkfstgftms ms (Jmtmrls (Jmtmrlspgrlnu pgrlnus) s) n) Mxpdlqum Mxpdlqum jkf clg`rgog clg`rgogss dks jgonlks jgonlks mf dg cmogfc cmogfcg g k mf dg jgfcgc jgfcgc cmogfcgcg cmogfcgcg sm`ñf smg md jgsk1 - Ngag md prmjlk cmd oldk - Ngag md prmjlk cmd blwl`mf. - Guomftg md lf`rmsk cm dks jkfsuolckrms. - Clsolfuym md prmjlk cm dg dmjem. =. Cgcg dg sl`ulmftm lfkrogjlúf cm cmogfcg1 W ? >9 -3Y

g) Mdgnkr Mdgnkrm m ufg tgnd tgndg g y `rghqum `rghqum dg dg jur jurvg vg cm cmogf cmogfcg. cg. n) Jgdjudm Jgdjudm dg mdgsjlc mdgsjlcgc gc prmjlk prmjlk cm dg cmogfcg cmogfcg mf mf tkcks dks trgoks trgoks cm dg jurvg jurvg jugfck md prmjlk cm dg cmogfcg sunm. j) Jgdjudm Jgdjudm md lf`rmsk lf`rmsk cmd vmfcmc vmfcmckr kr y mxpdlqu mxpdlqum m su rmdgjlúf rmdgjlúf jkf dg mdgsjlcgc mdgsjlcgc prmjlk prmjlk cm dg cmogfcg. LLL.

MDGZS DGZSLLJLCGCMZ CM CM DDG G CM CMOGFCG

8. »Juçd ms dg mdgsjlcgc prmjlk cm dg cmogfcg cm dgs sl`ulmftms mjugjlkfms W c ? 79 y

Y

? =; 0. Lf Lfcl clqu qum m m lftm lftmrp rprm rmtm tm dg mdgsjlcgc prmjlk cm ufg cmogfcg juyg mjugjlúf ms

W xc   



8

MDGZSLJLCGC Y^MJLK

5. G jkffugjlúf sm oumstrg dks prmjlks mf cks clmrmftms omsms cm uf prkcujtk y sus jkrrms jkr rmspkf pkfclm clmftm ftmss jgfcg jgfcgcms cms cmogfc cmogfcgcg gcgs. s. Jgdjud Jgdjudgr gr dg mdgs mdgsjlcg jlcgc c prmjlk prmjlk cm dg

 

]FLXM^ZLCGC FGJLKFGD G@^G^LG DG OKDLFG HGJ]DSGC CM MJKFKOLG \ YDGFLHLJGJLKF J]^ZK1 MJKFKOLG @MFM^GD Y^KHMZK^1 YMSEM^ DKYMQ @G^JLG

JLJDK 1 >9>9-

LL

Y^ÇJSLJG CL^L@LCG F±: cmogfcg cmd nlmf U jugfck md prmjlk clsolfuym cm Z/. 7 g Z Z/. /. 9,5. @rghqum m lftìrprmtm dks rmsudtgcks. Yx Wx 7

3999

9,5

=999



9

W7

9

3

5

7>

78

>9

W>

9

7>

>3

:8

35

89

W:

9

73

>5

3>

=8

09

Kntmf Kntmfmr mr dg cmog cmogfcg fcg cm omrjgck omrjgck.. @rghjgr @rghjgr y mxprmsgr mxprmsgr ogtmo ogtmoçj çjgom gomftm ftm dg ufjlú ufjlúf f cm cmogfcg. Cmd `rçhjk gftmrlkr, jgdjudgr dg mdgsjlcgc prmjlk cm dg cmogfcg pgrg dks prmjlks Yx? Z/. 8 g Yx? Yx? Z/. = Lftmrprmtm dks rmsudtgcks. Ju Juçd çd ms dg mdgs mdgsjlc jlcgc gc prmjlk prmjlk jugfc jugfck k vgrïg vgrïg cm Z/. Z/. 8 g Z/. =. ^mgdlj ^mgdljm m md jgsk jgsk lfvmrs lfvmrsk, k, jugfck vgrïg cm Z/. = g Z/. 8. Lftmrprmtm. Jkfslcmrg Jkfslcmrgfck fck tk tkcks cks dks dks prmjlks prmjlks cg cgcks cks mf mf dg tgndg tgndg gftmrlk gftmrlkr, r, jgdjudgr jgdjudgr m mdd vgdkr vgdkr cmd ` `gstk gstk tktgd cm dks jkfsuolckrms rmdgjlkfçfckdk jkf md vgdkr cm dg mdgsjlcgc. »Ygrg quì dm smrvlrïg dg lfkrogjlúf gd prkcujtkr cmd nlmf;. Gfgdljm.

MDGZSLJLCGC J^]QGCG

79. Zl sgnmoks qum md prmjlk cmd nlmf \ sunm cm = g 8 skdms, y qum dg cmogfcg cmd nlmf U sunm cm >9 g := uflcgcms. Egddgr m lftmrprmtgr md vgdkr cm dg mdgsjlcgc cmd nlmf U. »Wuì pk cm nlmfms skf U m \;

MDGZSLJLCGC LF@^MZK

77. Zm prmsmftg md sl`ulmftm jugcrk jkf lfkrogjlúf rmdgvg gd jkopkrtgolmftk cm Jgrltk jugfck guomftg su lf`rmsk. Jgdjudm m lftmrprmtm dg mdgsjlcgc lf`rmsk cm dg cmogfcg y jdgslhqum md nlmf cm gjumrck g su mdgsjlcgc.

Wx

Lf`rmsk

7

0>

 

]FLXM^ZLCGC FGJLKFGD G@^G^LG DG OKDLFG HGJ]DSGC CM MJKFKOLG \ YDGFLHLJGJLKF J]^ZK1 MJKFKOLG @MFM^GD Y^KHMZK^1 YMSEM^ DKYMQ @G^JLG

JLJDK 1 >9>9-

LL

Y^ÇJSLJG CL^L@LCG F±: >

799

3

>99

=

:=9

>

899

MDGZSLJLCGC Y^MJLK, J^]QGCG M LF@^MZK

7>. Clsf`g y mxpdlqum `rçhjgomftm uf nlmf lfmdçsjk y uf nlmf mdçsjk. 7:. Zm prmsmftg md sl`ulmftm jugcrk jkf dg lfkrogjlúf rmdgvg gd jkopkrtgolmftk cm pmtemr jugfck guomftgf su lf`rmsk. Jgdjudg dg mdgsjlcgc lf`rmsk cm dg cmogfcg,

lftmrprmtm sus rmsudtgcks y jdgslhqum md nlmf cm gjumrck g su mdgsjlcgc. Lf`rmsk Wc cm U

0> 7

799 >

>99 =

:=9 >

73. Lfcljgr sl dg sl`ulmftm sltugjlkfms rmprmsmftgf uf jgonlk mf dg kmrtg k uf jgonlk mf dg

jgfcgc kmrtgcg1 g) Cmnlck Cmnlck g dgs lfufcgjl lfufcgjlkfms kfms qum qum eg cmstrul cmstrulck ck `rgf p pgrtm grtm md md judvk judvk cm pgpg pgpg mf Gygjujek, gekrg sm vmfcm omfks pgpg mf dks omrjgcks cm cljeg jlucgc. n) Md prmjlk prmjlk cm dgs dgs ogsjgrlddg ogsjgrlddgss sunm y mstk lfcujm lfcujm g qum dks dks prkcujtkrm prkcujtkrmss lfjrmomftm lfjrmomftmf f su prkcujjlúf. j) Md jkstk jkstk cmd gd`kcúf gd`kcúf sunm sunm y mstk mstk egj egjm m qum dg prkcujjlúf prkcujjlúf cm ogsjgr ogsjgrlddg lddg cls clsolfu olfuyg. yg. 7=. Jgdjudm dg mdgsjlcgc pgrg ufg kmrtg qum sm mxprmsg omclgftm dg sl`ulmftm mjugjlúf1

W ? 3 + =Y, sl md prmjlk sunm sunm cm Y ? = g Y ? 5.