Ejercicio 5 R & R

 

7.- Hgefmotg uo fostruhgotc eg hgef`fðo sg hfeg uom pfgzm `uyms gspg`fbf`m`fcogs sco :; ½ >. Pg jm`g uo gstuefc ^&^ y sg cnsgrvm π  ^gpg 8 ;.0, π  ^gprce8;.= y π Uctml 8=.=  `cotgstg1 m) ³@uíl gs π  ^∤ ^ 3 n) ³@uíl gs gl grrcr eg hgef`fðo egl sfstghm eg hgef`fðo, `co uom `cngrturm egl 66%3 `) sf uom pfgzm hfeg 4:.5, ³gs sgdurc qug gs uom pfgzm eg `mlfeme m`gptmnlg3 Mrduhgotg e) sf uom pfgzm hfeg :>.7, ³gs sgdurc qug gs uom pfgzm egbg`tucsm3 g) ³Gl sfstghm eg hgef`fðo tfgog uo grrcr m`gptmnlg3 Mrduhgotg b) Go `msc eg qug oc sgm m`gptmnlg, ³Eðoeg jmy prcnlghms3 ^gpgtfnflfeme c ^gprceu`tfnflfeme. d) ³]uæ sudfgrg jm`gr3

EMUCP HM^@C UGÐ^F@C

FO@ÐDOFUM π  ^∤ ^ 3

Gspg`fbf`m`fcogs Gspg`fbf`m`fco gs 8 :; ½ >. π  ^gpg 8;.0 

GH 83

π  ^gprce8;.= 

>

π  ^

 8

∤ ^

>

>

π  ^gpgtfn.  + π  ^gprceu  ^gprceu`tfn `tfn .

 G Hmx 8½ >.747∔π  ^∤ ^

Gs uom pfgzm eg `mlfeme m`gptmnlg 83

π Uctml 8=.=  

Gs uom pfgzm egbg`tucsm 83

PCLW@FCO m) ³@uíl gs gs π  ^∤ ^ 3

π  ^∤ ^   8 π  ^gpgtfn.  + π  ^gprceu  ^gprceu`tfn `tfn . >

π  ^

>

∤ ^

>

π  ^gpgtfn.   + π  ^gprceu`tfn. ∑ π 

8

>

>

π  ^∤ ^8∑ ( ;.0

>

>

  + ;.=

)

π  ^∤ ^8;.0= n) ³@uíl gs gl grrcr eg hgef`fðo egl sfstghm eg hgef`fðo, `co uom `cngrturm egl 66%3

 G Hmx 8½ >.747∔π  ^∤ ^  G Hmx 8½ >.747∔;.0=2  G Hmx 8;.

 

Pg pugeg eg`fr qug gs fduml m lms gspg`fbf`m`fðo hís >.742 qug gs gl ofvgl eg `cobfmozm (GP < >.242)

`) Pf uom pfgzm hfeg 4:.5, gs sgdurc qug gs uom pfgzm `co `mlfeme m`gptmnlg3

Z ½ ;.:>5

4:.5 + ;.:>5

46. >>5 Cntgofgoec ym lm gspg`fbf`m`fðo sg pugeg eg`fr qug gs m`gptmnlg ym qug sg go`ugotrm egl rmodc egl grrcr. e) sf uom pfgzm hfeg :>.7, ³gs sgdurc qug gs uom pfgzm egbg`tucsm3 Z ½ ;.:>5

:>.7 + ;.:>5

:0.0>5 Go `mhn `m hnfc fcc lms go gspg`fbf`m`fcogs gstm gs tm gs gspg pg`f `fbf bf`m `m`f `fðo ðo lm pf pfgz gzmm tg tgoe oerèm rèm qu qugg sg sgrr rg rg`j `jmz mzme memm ym qu qugg m scnrgpmsmec scnrgpmsme gstmnlg`fems. g) ³gl sfstghm eg hgef`fðo tfgog uo grrcr m`gptmnlg3 Mrduhgotg Pf, egnfec m qug oc gs uo hmrdgo eg grrcr huy gstrf`tc b) Go `msc eg qug oc sgm m`gptmnlg, m`gptmnlg, ³Eðoeg jmy jmy prcnlghms3 ^gp ^gpgtfnflfeme gtfnflfeme c ^gprceu`tfnflfeme. Gs m`gptmnlg, sfo ghnmrdc, lm rgpgtfnflfeme gs hmrdfomlhgotg m`gptmnlg, egnfec m qug sg go`ugotrm ml ncreg eg sgr rg`jmzmec. d) ³]uæ sudfgrg jm`gr3 Pg rg`chfgoem gvmlumr lm jgrrmhfgotm eg hgef`fðo, pmrm cnsgrvmr nfgo sf gstí go lm `mlfnrm`fðo meg`umem y eg fduml hmogrm cnsgrvmr gl hætcec eg hgef`fðo egl cpgrmecr   pmrm vgr sf lc jm`g jm`g `crrg`tmhgotg. `crrg`tmhgotg.