Ejercicio de Aplicacion

 

ukg lrhjuhkj`g rhfgt`vg `cugf g jhrd, gsdj`geg g fg lrdkthrg `klhr`dr eh fg pr`ihrg jfgsh y thri`kg jdk ukg lrhjuhkj`g rhfgt`vg ehf 722% gsdj`geg g fg lrdkthrg suphr`dr eh fg ÿft`ig jfgsh. Igrjg eh Jfgsh (]). Ffgigeg gfcukgs vhjhs puktd ihe`d eh jfgsh, puhstd quh hs hf vgfdr kuiàr`jd s`tuged hxgjtgihkth hk fg pgrth jhktrgf eh jgeg jfgsh. Gkjmd eh Jfgsh (j). Hs fg e`lhrhkj`g hktrh uk féi`th `klhr`dr eh jfgsh y hf féi`th `klhr`dr eh fg s`cu`hkth jfgsh. Fg lrdkthrg eh jfgsh, sdk kÿihrds quh kd hstçk prhshkths hk fds egtds iuhstrgfhs, s`kd quh sh fdjgf`zgk hk ihe`d ehf féi`th suphr`dr eh ukg jfgsh y hf féi`th `klhr`dr eh fg jfgsh s`cu`hkth. Rrdjhe`i`hktd. 7) @ehkt`l`quh hf puktgoh içx`id y iék`id y dnthkcg fg gipf`tue G9M-F1 hk edkeh, M hs hf vgfdr içx`id y F hf vgfdr iék`id. >) Zhfhjj`dkh uk kÿihrd eh jfgsh (i972) y uk gkjmd eh jfgsh (l94) eh igkhrg quh hf prdeujtd (ij9Gt)1 Gt gipf`tue thúr`jg, fg jugf ehnh shr uk pdjd igydr quh fg gipf`tue rhgf (G). :) Hf`og uk vgfdr `k`j`gf, hsth vgfdr ehnh shr uk pdjd içs phquh÷d quh hf puktgoh iék`id. Kdtg. Hf féi`th `klhr`dr eh jfgsh, hs hf vgfdr içs phquh÷d quh puheh gs`ckgrsh g jgeg jfgsh. Fds féi`ths suphr`drhs eh jfgsh sdk fds vgfdrhs eh igydr igck`tue quh puheh gs`ckgrsh g jgeg jfgsh. Hohipfd. Drehkg fds egtds shfhjj`dkgeds eh fds phsds (hk fns.) eh j`kjuhktg hstue`gkths, pgrg e`hz jfgshs. Urgzgked fgs crgl`jgs jdrrhspdke`hkths. 0= 782 72= 78= 7 77> 77= 72 733 7== 7=< 73< 707 77= 7>= 728 783 702 785 7>2 75= 727 75: 758 72= 788 772 785 77< 7 7>0 >78 73< 7=: < GJGEHIÉG EH IGUHIÇU@JGZ UX^KD IGUXU@KD @kc. O. \hkturg Çkchf Lhféj`tds 2 0 = M9>78 F90= G9M-F G9>78-0= G9773 7 2 = 7 = 7 7 > = = 8 8 2 < s` i972 hktdkjhs, j97>. 7 > 2 = 2 2 0 7 : 8 3 > Gt9(72)*(7>)97>2 7 5 = : 8 8 7 8 2 = 3 5 8 5 7 < > 3 = > 7 8 e9Gt-G1 e97>2-7739:1 pdr fd tgktd sh fh qu`tg 7 3 2 3 < 2 < 7 = < = 5 : > g F y sh fh gcrhcg 7 g M. 7 0 7 8 2 8 > 2 8 F90=->9078+79>7 7 8 i j l lg %lg x 7 03 72= 5 5 = 72>.8 > 720 7>2 72 75 >= 775.8 : 7>7 7:> : 73 :5 7>2 52 7:=.8 8 758 78< 3 >3 85 782.8 < 783 7 7=25 > 5= 0< 70=.8 72 >28 >7< > 82 722 >72.8  82 3 GJGEHIÉG EH IGUHIÇU@JGZ UX^KD IGUXU@KD @kc. O. \hkturg Çkchf Lhféj`tds Hohrj`j`d.

 

Mdy hk eég iujmds hstue`gkths fgndrgk eurgkth < mrs., hk e`lhrhkths t`pds eh trgngod. Zh tdiú ukg iuhstrg eh :2 oúvhkhs y sh fhs prhcuktú hf sgfgr`d quh phrj`nhk g fg qu`kjhkg, fds egtds sdk? 872 =82 =>52 >:32 >:02 >5352 :532 :0>2 5702 Z` sh t`hkh uk gkjmd eh jfgsh eh 3:3, ´júid shrçk fgs e`str`nuj`dkhs eh lrhjuhkj`g4 = GJGEHIÉG EH IGUHIÇU@JGZ UX^KD IGUXU@KD @kc. O. \hkturg Çkchf Lhféj`tds Zdf. 7 2 872 =82 =58 70=7 72 7= 37= = >< =3 >:82 5 >370 :588 7 >3 02 :2=3 8 0 :58< 570> : :2 722 :=>5 GJGEHIÉG EH IGUHIÇU@JGZ UX^KD IGUXU@KD @kc. O. \hkturg Çkchf Lhféj`tds ^GR >? Jgfjufgr h `kthrprhtgr fgs ihe`egs eh thkehkj`g jhktrgf y eh e`sphrs`úk, eh egtds dnthk`eds eh ukg iuhstrg d eh pdnfgj`úk, pgrg rhsdfvhr prdnfhigs eh e`vhrsgs çrhgs ehf jdkdj`i`hktd. >) Ihe`egs eh Uhkehkj`g Jhktrgf. Zdk vgfdrhs kuiàr`jds quh t`hkehk g fdjgf`zgr, hk gfcÿk shkt`ed, fg pgrth jhktrgf eh uk jdkouktd eh egtds. Chkhrgfihkth, hf tàri`kd prdihe`d sh gsdj`g g hstgs ihe`j`dkhs. Jgeg ukg eh fgs e`lhrhkths ihe`egs eh thkehkj`g jhktrgf puheh rhj`n`r hf kdinrh eh vgfdr prdihe`d. Ihe`g ( x ). Hs hf prdihe`d jdk hf quh prdngnfhihkth sh hstç içs lgi`f`gr`zged, sh suigk tdeds fds vgfdrhs eh fg vgr`gnfh x y sh e`v`ehk hktrh k hf kÿihrd eh hsds vgfdrhs x 9 ∗x/k @ke`v`eugf 1 x 9∗xl/∗l Crupgf. Ihe`gkg (I). Hs hf vgfdr djupged pdr fg pds`j`úk jhktrgf jugked fds egtds sh drehkgk eh gjuhred jdk su igck`tue. Hohipfd. :, :, 8, < y = 1 pds`j`úk eh fg Ihe`gkg. pI9(k+7)/> 1  pI9( 8+7)/> 1 pI9: 1 I98. Kdtg. Fg ihe`gkg shrç hxgjtgihkth hf vgfdr jhktrgf ehf jdkouktd eh egtds jugked ‖k’ shg uk kÿihrd `ipgr. Rhrd, jugked ‖k’ hs pgr, fg pds`j`úk eh fg ihe`gkg shrç s`hiprh fg i`tge eh gfcÿk kÿihrd. pI9( 1 pI9:.8 1 pI9(8+7)/> 1 pI9:. Ideg. Hs hf vgfdr eh x quh djurrh jdk igydr lrhjuhkj`g. Hohipfd. :, :, 8, < y =1 fg ideg hs :. Z` sujheh quh eds d içs vgfdrhs t`hkhk fg i`sig lrhjuhkj`g içs gftg, sh e`jh quh kd hx`sth fg ideg. Jhktrd ehFGipf`tue (JG). XkM. jdkouktd ehihe`d egtdsds`hiprh uk hxtrhid `klhr`dr y dtrd suphr`dr hf puktd jhktrd t`hkhk eh fg gipf`tue hs hf kÿihrd s`tuged hktrh hffds, hxgjtgihkth hk fg pgrth jhktrgf. Hohipfd.

 

1 JG9( 1 JG9=. 72 GJGEHIÉG EH IGUHIÇU@JGZ UX^KD IGUXU@KD @kc. O. \hkturg Çkchf Lhféj`tds Hohipfd. Jgfjufgr fgs ihe`egs eh thkehkj`g jhktrgf ehf pr`ihr hohipfd (hf eh fds phsds hk f`nrgs eh fds 82 hstue`gkths). i x l xl 7 72>.8 5 572 g) x9387:/821 x9782.> 775.8 72 7758 : 7>1 p¸9>8.8 5 7:=.8 : 578.8 8 782.8 3 728:.8 >89785 < 7.8 = 7:22 ¸9785 3 735.8 8 =3>.8 >2 72 >72.8 > 5>7  387: e) JG9(>78+0=)/>1 JG978::, n) ¸973=8, j) Id9kd hx`sth y, e) JG9>:82. >) Hk ukg iuhstrg eh 52 hipfhgeds, sh dntuv`hrdk fgs s`cu`hkths hstgturgs hk its. 7.5< 7.80 7.