56:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.072970:0.136094:0.089979:0.136094:0.089979:0.119424:0.072970:0.119424:0.000000:0.000000:0.000000 Considera:@0.103169:0.136094:0.182188:0.136094:0.182188:0.119147:0.103169:0.119147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las funciones reales , , definidas en el :@0.182096:0.136094:0.489605:0.136094:0.489605:0.119424:0.182096:0.119424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f g h:@0.334456:0.136251:0.373649:0.136251:0.373649:0.118809:0.334456:0.118809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.373572:0.136251:0.377036:0.136251:0.377036:0.120114:0.373572:0.120114:0.000000 intervalo (0, :@0.103090:0.153748:0.196637:0.153748:0.196637:0.137078:0.103090:0.137078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 `:@0.196518:0.154362:0.215336:0.154362:0.215336:0.137121:0.196518:0.137121:0.000000 ) como:@0.215223:0.153744:0.267680:0.153744:0.267680:0.137075:0.215223:0.137075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.103091:0.185148:0.120892:0.185148:0.120892:0.169011:0.103091:0.169011:0.000000:0.000000:0.000000 ( ) :@0.107998:0.185148:0.146236:0.185148:0.146236:0.168721:0.107998:0.168721:0.000000:0.000000:0.000000:0.000000:0.000000 5 2 1:@0.125991:0.184568:0.186090:0.184568:0.186090:0.170229:0.125991:0.170229:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162266:0.185148:0.170060:0.185148:0.170060:0.169011:0.162266:0.169011:0.000000 1, (x) :@0.186090:0.185148:0.235393:0.185148:0.235393:0.168721:0.186090:0.168721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g:@0.203044:0.185148:0.212724:0.185148:0.212724:0.169011:0.203044:0.169011:0.000000 5:@0.235393:0.184568:0.251424:0.184568:0.251424:0.170229:0.235393:0.170229:0.000000 1:@0.266896:0.177681:0.276287:0.177681:0.276287:0.161254:0.266896:0.161254:0.000000 1:@0.254984:0.195123:0.264375:0.195123:0.264375:0.178696:0.254984:0.178696:0.000000 1:@0.264375:0.194543:0.280405:0.194543:0.280405:0.180204:0.264375:0.180204:0.000000 x:@0.280405:0.195123:0.288199:0.195123:0.288199:0.178986:0.280405:0.178986:0.000000 , h x x :@0.292820:0.185148:0.362291:0.185148:0.362291:0.169011:0.292820:0.169011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.309697:0.185148:0.327883:0.185148:0.327883:0.168721:0.309697:0.168721:0.000000:0.000000:0.000000 5 2:@0.331539:0.184568:0.378321:0.184568:0.378321:0.170229:0.331539:0.170229:0.000000:0.000000:0.000000 1,:@0.378321:0.185148:0.395275:0.185148:0.395275:0.168721:0.378321:0.168721:0.000000:0.000000:0.000000 x :@0.103094:0.212550:0.114275:0.212550:0.114275:0.196413:0.103094:0.196413:0.000000:0.000000 [:@0.114217:0.212405:0.130247:0.212405:0.130247:0.197718:0.114217:0.197718:0.000000 .:@0.130144:0.212395:0.133476:0.212395:0.133476:0.196960:0.130144:0.196960:0.000000 Calcula:@0.133402:0.212395:0.192154:0.212395:0.192154:0.195726:0.133402:0.195726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.192048:0.212395:0.196392:0.212395:0.196392:0.195448:0.192048:0.195448:0.000000 a. (:@0.104514:0.239044:0.139593:0.239044:0.139593:0.223331:0.104514:0.223331:0.000000:0.000000:0.000000:0.000000:0.000000 f g :@0.139519:0.239044:0.186808:0.239044:0.186808:0.223608:0.139519:0.223608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.147398:0.238489:0.162731:0.238489:0.162731:0.224773:0.147398:0.224773:0.000000 ) (3):@0.178506:0.239044:0.205491:0.239044:0.205491:0.223331:0.178506:0.223331:0.000000:0.000000:0.000000:0.000000:0.000000 .:@0.205601:0.239044:0.208933:0.239044:0.208933:0.223608:0.205601:0.223608:0.000000 b. (:@0.104514:0.265693:0.139593:0.265693:0.139593:0.249981:0.104514:0.249981:0.000000:0.000000:0.000000:0.000000:0.000000 f g h 5 .:@0.139519:0.265693:0.245288:0.265693:0.245288:0.250258:0.139519:0.250258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 1:@0.147398:0.265138:0.193655:0.265138:0.193655:0.251423:0.147398:0.251423:0.000000:0.000000:0.000000 ) (1 ):@0.206430:0.265693:0.241845:0.265693:0.241845:0.249981:0.206430:0.249981:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. Sea la función real definida en :@0.072970:0.293098:0.340930:0.293098:0.340930:0.276428:0.072970:0.276428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.133688:0.293098:0.138898:0.293098:0.138898:0.276415:0.133688:0.276415:0.000000 [:@0.340632:0.293256:0.345732:0.293256:0.345732:0.276829:0.340632:0.276829:0.000000 2:@0.345847:0.292676:0.361877:0.292676:0.361877:0.278337:0.345847:0.278337:0.000000 1,1:@0.361781:0.293256:0.385355:0.293256:0.385355:0.275828:0.361781:0.275828:0.000000:0.000000:0.000000 ]:@0.385451:0.293256:0.390551:0.293256:0.390551:0.276829:0.385451:0.276829:0.000000 como sigue::@0.390658:0.293098:0.485673:0.293098:0.485673:0.276428:0.390658:0.276428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x :@0.103091:0.335429:0.129840:0.335429:0.129840:0.319292:0.103091:0.319292:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.107998:0.335429:0.126184:0.335429:0.126184:0.319002:0.107998:0.319002:0.000000:0.000000:0.000000 5:@0.129840:0.334849:0.145870:0.334849:0.145870:0.320510:0.129840:0.320510:0.000000 x :@0.174836:0.346020:0.223947:0.346020:0.223947:0.329883:0.174836:0.329883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.182630:0.346020:0.188134:0.346020:0.188134:0.329593:0.182630:0.329593:0.000000 1 2:@0.191598:0.345440:0.239977:0.345440:0.239977:0.331101:0.191598:0.331101:0.000000:0.000000:0.000000 1:@0.211092:0.346020:0.220483:0.346020:0.220483:0.329593:0.211092:0.329593:0.000000 1 si:@0.239977:0.346020:0.267515:0.346020:0.267515:0.329593:0.239977:0.329593:0.000000:0.000000:0.000000:0.000000 , x .:@0.249368:0.346020:0.334099:0.346020:0.334099:0.329883:0.249368:0.329883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 # #:@0.270979:0.345440:0.317761:0.345440:0.317761:0.331101:0.270979:0.331101:0.000000:0.000000:0.000000 1:@0.321225:0.346020:0.330616:0.346020:0.330616:0.329593:0.321225:0.329593:0.000000 1:@0.157641:0.324444:0.167032:0.324444:0.167032:0.308017:0.157641:0.308017:0.000000 x , :@0.167032:0.324444:0.262539:0.324444:0.262539:0.308307:0.167032:0.308307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.169860:0.323864:0.185891:0.323864:0.185891:0.309525:0.169860:0.309525:0.000000 2:@0.205000:0.324444:0.210504:0.324444:0.210504:0.308017:0.205000:0.308017:0.000000 1:@0.213313:0.323864:0.229344:0.323864:0.229344:0.309525:0.213313:0.309525:0.000000 1 si 1:@0.232172:0.324444:0.287326:0.324444:0.287326:0.308017:0.232172:0.308017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 # ,:@0.261904:0.323864:0.335666:0.323864:0.335666:0.309525:0.261904:0.309525:0.000000:0.000000:0.000000:0.000000:0.000000 x ,:@0.287326:0.324444:0.351369:0.324444:0.351369:0.308307:0.287326:0.308307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.338495:0.324444:0.347886:0.324444:0.347886:0.308017:0.338495:0.308017:0.000000 a. :@0.104514:0.384608:0.119958:0.384608:0.119958:0.368895:0.104514:0.368895:0.000000:0.000000:0.000000 Calcula:@0.134715:0.384608:0.189639:0.384608:0.189639:0.367938:0.134715:0.367938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.189532:0.384608:0.197465:0.384608:0.197465:0.369173:0.189532:0.369173:0.000000:0.000000 ( 1) (:@0.197410:0.384608:0.250785:0.386676:0.250785:0.370963:0.197410:0.368895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.202215:0.384053:0.217548:0.384053:0.217548:0.370338:0.202215:0.370338:0.000000 , f :@0.231537:0.384608:0.245969:0.384608:0.245969:0.369173:0.231537:0.369173:0.000000:0.000000:0.000000:0.000000 2:@0.250711:0.386121:0.266044:0.386121:0.266044:0.372405:0.250711:0.372405:0.000000 2:@0.268785:0.380330:0.286605:0.380330:0.286605:0.363903:0.268785:0.363903:0.000000:0.000000:0.000000 2:@0.273000:0.394205:0.282391:0.394205:0.282391:0.377778:0.273000:0.377778:0.000000 ) 0:@0.291416:0.385415:0.321887:0.384608:0.321887:0.368895:0.291416:0.369702:0.000000:0.000000:0.000000 , f( ), f :@0.296227:0.384766:0.342301:0.384766:0.342301:0.368629:0.296227:0.368629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.342262:0.384608:0.347140:0.384608:0.347140:0.368895:0.342262:0.368895:0.000000 2:@0.349093:0.378263:0.366913:0.378263:0.366913:0.361836:0.349093:0.361836:0.000000:0.000000:0.000000 2:@0.353307:0.392138:0.362698:0.392138:0.362698:0.375711:0.353307:0.375711:0.000000 ) (1):@0.368876:0.383347:0.405866:0.384608:0.405866:0.368895:0.368876:0.367635:0.000000:0.000000:0.000000:0.000000:0.000000 , f .:@0.375464:0.384766:0.409458:0.384766:0.409458:0.368629:0.375464:0.368629:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.104514:0.412013:0.121412:0.412013:0.121412:0.396300:0.104514:0.396300:0.000000:0.000000:0.000000 Prueba:@0.134715:0.412013:0.192534:0.412013:0.192534:0.395343:0.134715:0.395343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.193252:0.412013:0.197062:0.412013:0.197062:0.395066:0.193252:0.395066:0.000000 que la función es estrictamente :@0.201662:0.412013:0.489594:0.412013:0.489594:0.396300:0.201662:0.396300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.334394:0.412170:0.339301:0.412170:0.339301:0.396033:0.334394:0.396033:0.000000 creciente sobre [ 1,1].:@0.134643:0.428655:0.299646:0.428655:0.299646:0.412942:0.134643:0.412942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.255100:0.428100:0.270434:0.428100:0.270434:0.414384:0.255100:0.414384:0.000000 c. :@0.104514:0.456059:0.119590:0.456059:0.119590:0.440347:0.104514:0.440347:0.000000:0.000000:0.000000 Define:@0.134715:0.456059:0.186038:0.456059:0.186038:0.439390:0.134715:0.439390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.186182:0.456059:0.189992:0.456059:0.189992:0.439112:0.186182:0.439112:0.000000 la función :@0.191152:0.456059:0.270045:0.456059:0.270045:0.440347:0.191152:0.440347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.271342:0.455637:0.287372:0.455637:0.287372:0.441298:0.271342:0.441298:0.000000 f:@0.287526:0.456217:0.292434:0.456217:0.292434:0.440080:0.287526:0.440080:0.000000 y :@0.292562:0.456059:0.310093:0.456059:0.310093:0.440347:0.292562:0.440347:0.000000:0.000000:0.000000 traza:@0.311319:0.456059:0.349481:0.456059:0.349481:0.439390:0.311319:0.439390:0.000000:0.000000:0.000000:0.000000:0.000000 las gráficas de las :@0.349625:0.456059:0.489719:0.456059:0.489719:0.440347:0.349625:0.440347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 funciones y :@0.134647:0.473464:0.249864:0.473458:0.249864:0.457745:0.134647:0.457751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.209832:0.473615:0.214739:0.473615:0.214739:0.457478:0.209832:0.457478:0.000000 2:@0.230592:0.472903:0.245925:0.472903:0.245925:0.459187:0.230592:0.459187:0.000000 f.:@0.249781:0.473615:0.257478:0.473615:0.257478:0.457478:0.249781:0.457478:0.000000:0.000000 d. :@0.104514:0.500862:0.121393:0.500862:0.121393:0.485150:0.104514:0.485150:0.000000:0.000000:0.000000 Prueba:@0.134715:0.500862:0.188571:0.500862:0.188571:0.484193:0.134715:0.484193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que :@0.188483:0.500862:0.224929:0.500862:0.224929:0.485150:0.188483:0.485150:0.000000:0.000000:0.000000:0.000000:0.000000 f f f,:@0.224814:0.501020:0.296940:0.501020:0.296940:0.484883:0.224814:0.484883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5:@0.233050:0.500440:0.276638:0.500440:0.276638:0.486101:0.233050:0.486101:0.000000:0.000000:0.000000 2:@0.279928:0.501020:0.289319:0.501020:0.289319:0.484593:0.279928:0.484593:0.000000 donde :@0.296878:0.500862:0.353186:0.500862:0.353186:0.485150:0.296878:0.485150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (2:@0.133211:0.528267:0.146998:0.528267:0.146998:0.512555:0.133211:0.512555:0.000000:0.000000 f x f x , x :@0.146911:0.528425:0.266858:0.528425:0.266858:0.512288:0.146911:0.512288:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 )( ):@0.151741:0.528425:0.174795:0.528425:0.174795:0.511998:0.151741:0.511998:0.000000:0.000000:0.000000:0.000000 5:@0.178105:0.527845:0.194135:0.527845:0.194135:0.513506:0.178105:0.513506:0.000000 2 ( ):@0.197426:0.528425:0.232816:0.528425:0.232816:0.511998:0.197426:0.511998:0.000000:0.000000:0.000000:0.000000:0.000000 ;:@0.239551:0.527845:0.252387:0.527845:0.252387:0.513506:0.239551:0.513506:0.000000 [ :@0.266791:0.527977:0.285732:0.527977:0.285732:0.514567:0.266791:0.514567:0.000000:0.000000 [ 1,1].:@0.285644:0.528110:0.332750:0.528110:0.332750:0.513111:0.285644:0.513111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.290230:0.527580:0.304866:0.527580:0.304866:0.514488:0.290230:0.514488:0.000000 e. :@0.104514:0.555672:0.120326:0.555672:0.120326:0.539959:0.104514:0.539959:0.000000:0.000000:0.000000 Prueba:@0.134715:0.555672:0.188571:0.555672:0.188571:0.539003:0.134715:0.539003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que es una función par.:@0.188483:0.555672:0.370098:0.555672:0.370098:0.539959:0.188483:0.539959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f :@0.224814:0.555830:0.233108:0.555830:0.233108:0.539693:0.224814:0.539693:0.000000:0.000000 3. Sea la función real definida en [0,4]:@0.072970:0.582320:0.384119:0.582320:0.384119:0.565651:0.072970:0.565651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w:@0.134038:0.582320:0.147052:0.582320:0.147052:0.565637:0.134038:0.565637:0.000000 como sigue: :@0.103091:0.616604:0.200061:0.616604:0.200061:0.600177:0.103091:0.600177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.246380:0.608516:0.259986:0.608516:0.259986:0.592089:0.246380:0.592089:0.000000:0.000000 x, x ,:@0.259987:0.608516:0.388324:0.608516:0.388324:0.592379:0.259987:0.592379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.263450:0.607936:0.279481:0.607936:0.279481:0.593597:0.263450:0.593597:0.000000 si 0:@0.297685:0.608516:0.321740:0.608516:0.321740:0.592089:0.297685:0.592089:0.000000:0.000000:0.000000:0.000000 # ,:@0.325204:0.607936:0.371986:0.607936:0.371986:0.593597:0.325204:0.593597:0.000000:0.000000:0.000000 2:@0.375450:0.608516:0.384841:0.608516:0.384841:0.592089:0.375450:0.592089:0.000000 (:@0.246381:0.625915:0.251481:0.625915:0.251481:0.609488:0.246381:0.609488:0.000000 x :@0.251481:0.625915:0.282233:0.625915:0.282233:0.609778:0.251481:0.609778:0.000000:0.000000:0.000000:0.000000 2:@0.262738:0.625335:0.278769:0.625335:0.278769:0.610995:0.262738:0.610995:0.000000 2)2 si 2:@0.282233:0.625915:0.333614:0.625915:0.333614:0.609488:0.282233:0.609488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.302612:0.625915:0.337078:0.625915:0.337078:0.609778:0.302612:0.609778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 # #:@0.337078:0.625335:0.385823:0.625335:0.385823:0.610995:0.337078:0.610995:0.000000:0.000000:0.000000 x 4.:@0.353108:0.625915:0.402777:0.625915:0.402777:0.609488:0.353108:0.609488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w :@0.199888:0.618172:0.216649:0.618172:0.216649:0.602035:0.199888:0.602035:0.000000:0.000000 5:@0.216649:0.617592:0.232679:0.617592:0.232679:0.603253:0.216649:0.603253:0.000000 a. :@0.104514:0.643851:0.119958:0.643851:0.119958:0.628138:0.104514:0.628138:0.000000:0.000000:0.000000 Calcula:@0.134715:0.643851:0.189639:0.643851:0.189639:0.627182:0.134715:0.627182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.189532:0.643851:0.193563:0.643851:0.193563:0.628138:0.189532:0.628138:0.000000 w :@0.193490:0.644009:0.210174:0.644009:0.210174:0.627872:0.193490:0.627872:0.000000:0.000000 (0):@0.210116:0.644009:0.229726:0.644009:0.229726:0.627582:0.210116:0.627582:0.000000:0.000000:0.000000 , w :@0.229841:0.644009:0.256706:0.644009:0.256706:0.627872:0.229841:0.627872:0.000000:0.000000:0.000000:0.000000:0.000000 (1):@0.256667:0.644009:0.276277:0.644009:0.276277:0.627582:0.256667:0.627582:0.000000:0.000000:0.000000 , w :@0.276392:0.644009:0.303257:0.644009:0.303257:0.627872:0.276392:0.627872:0.000000:0.000000:0.000000:0.000000:0.000000 (2):@0.303219:0.644009:0.322828:0.644009:0.322828:0.627582:0.303219:0.627582:0.000000:0.000000:0.000000 , w :@0.322944:0.644009:0.346421:0.644009:0.346421:0.627872:0.322944:0.627872:0.000000:0.000000:0.000000:0.000000 (3):@0.346383:0.644009:0.365992:0.644009:0.365992:0.627582:0.346383:0.627582:0.000000:0.000000:0.000000 , w :@0.366108:0.644009:0.389585:0.644009:0.389585:0.627872:0.366108:0.627872:0.000000:0.000000:0.000000:0.000000 (4):@0.389547:0.644009:0.409156:0.644009:0.409156:0.627582:0.389547:0.627582:0.000000:0.000000:0.000000 .:@0.409272:0.644009:0.412755:0.644009:0.412755:0.627872:0.409272:0.627872:0.000000 b. :@0.104514:0.671256:0.121412:0.671256:0.121412:0.655543:0.104514:0.655543:0.000000:0.000000:0.000000 Define:@0.134715:0.671256:0.185306:0.671256:0.185306:0.654586:0.134715:0.654586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función :@0.185317:0.671256:0.270874:0.671256:0.270874:0.655543:0.185317:0.655543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.271354:0.670834:0.287384:0.670834:0.287384:0.656495:0.271354:0.656495:0.000000 w:@0.287365:0.671414:0.300662:0.671414:0.300662:0.655277:0.287365:0.655277:0.000000 y :@0.300658:0.671256:0.317188:0.671256:0.317188:0.655543:0.300658:0.655543:0.000000:0.000000:0.000000 traza:@0.317593:0.671256:0.355169:0.671256:0.355169:0.654586:0.317593:0.654586:0.000000:0.000000:0.000000:0.000000:0.000000 las gráficas de las :@0.355181:0.671256:0.489561:0.671256:0.489561:0.655543:0.355181:0.655543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 funciones y :@0.134643:0.688661:0.243032:0.688654:0.243032:0.672942:0.134643:0.672948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w:@0.209832:0.688812:0.223129:0.688812:0.223129:0.672675:0.209832:0.672675:0.000000 2:@0.242930:0.688232:0.258960:0.688232:0.258960:0.673893:0.242930:0.673893:0.000000 w :@0.258864:0.688812:0.278759:0.688812:0.278759:0.672675:0.258864:0.672675:0.000000:0.000000:0.000000 .:@0.272092:0.688654:0.275295:0.688654:0.275295:0.672942:0.272092:0.672942:0.000000 c. :@0.104514:0.716059:0.119590:0.716059:0.119590:0.700346:0.104514:0.700346:0.000000:0.000000:0.000000 Prueba:@0.134715:0.716059:0.188571:0.716059:0.188571:0.699389:0.134715:0.699389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que :@0.188483:0.716059:0.224929:0.716059:0.224929:0.700346:0.188483:0.700346:0.000000:0.000000:0.000000:0.000000:0.000000 w w w w:@0.224814:0.716217:0.355268:0.716217:0.355268:0.700080:0.224814:0.700080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.241440:0.715637:0.257471:0.715637:0.257471:0.701298:0.241440:0.701298:0.000000 1:@0.277388:0.715637:0.293418:0.715637:0.293418:0.701298:0.277388:0.701298:0.000000 5:@0.313336:0.715637:0.329366:0.715637:0.329366:0.701298:0.313336:0.701298:0.000000 3:@0.332657:0.716217:0.342048:0.716217:0.342048:0.699790:0.332657:0.699790:0.000000 , donde:@0.355202:0.716059:0.410608:0.716059:0.410608:0.700346:0.355202:0.700346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (3 )( ) 3 ( ), :@0.133212:0.743621:0.261011:0.743621:0.261011:0.727195:0.133212:0.727195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 w x:@0.147703:0.743621:0.178993:0.743621:0.178993:0.727485:0.147703:0.727485:0.000000:0.000000:0.000000 5:@0.188307:0.743042:0.204338:0.743042:0.204338:0.728702:0.188307:0.728702:0.000000 w x:@0.217943:0.743621:0.244134:0.743621:0.244134:0.727485:0.217943:0.727485:0.000000:0.000000:0.000000 x :@0.271481:0.743621:0.286203:0.743621:0.286203:0.727485:0.271481:0.727485:0.000000:0.000000:0.000000 [ :@0.286204:0.743174:0.305232:0.743174:0.305232:0.729764:0.286204:0.729764:0.000000:0.000000 [0,4].:@0.305407:0.743306:0.338510:0.743306:0.338510:0.728308:0.305407:0.728308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. Sean :@0.072970:0.770869:0.144269:0.770869:0.144269:0.754199:0.072970:0.754199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f, g :@0.143849:0.771026:0.167642:0.771026:0.167642:0.754889:0.143849:0.754889:0.000000:0.000000:0.000000:0.000000:0.000000 las funciones reales definidas :@0.167299:0.770869:0.390463:0.770869:0.390463:0.754199:0.167299:0.754199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como sigue: :@0.389937:0.771026:0.489769:0.771026:0.489769:0.753599:0.389937:0.753599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x :@0.103086:0.805649:0.132549:0.805649:0.132549:0.789512:0.103086:0.789512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.111323:0.805649:0.129162:0.805649:0.129162:0.789222:0.111323:0.789222:0.000000:0.000000:0.000000 5 :@0.132472:0.805069:0.153217:0.805069:0.153217:0.790730:0.132472:0.790730:0.000000:0.000000 1:@0.170675:0.794334:0.179259:0.794334:0.179259:0.779180:0.170675:0.779180:0.000000 1 :@0.153639:0.810723:0.165772:0.810723:0.165772:0.795569:0.153639:0.795569:0.000000:0.000000 1 :@0.165772:0.810219:0.183894:0.810219:0.183894:0.797750:0.165772:0.797750:0.000000:0.000000 x:@0.183894:0.810723:0.191274:0.810723:0.191274:0.795557:0.183894:0.795557:0.000000 2:@0.191281:0.805211:0.196285:0.805211:0.196285:0.796376:0.191281:0.796376:0.000000 , g x x ,:@0.196716:0.805654:0.305675:0.805654:0.305675:0.789517:0.196716:0.789517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.216537:0.805654:0.234376:0.805654:0.234376:0.789227:0.216537:0.789227:0.000000:0.000000:0.000000 5:@0.237686:0.805074:0.253716:0.805074:0.253716:0.790735:0.237686:0.790735:0.000000 2:@0.264743:0.805654:0.270247:0.805654:0.270247:0.789227:0.264743:0.789227:0.000000 1:@0.273557:0.805074:0.289587:0.805074:0.289587:0.790735:0.273557:0.790735:0.000000 1:@0.292878:0.805654:0.302269:0.805654:0.302269:0.789227:0.292878:0.789227:0.000000 ;:@0.103094:0.832476:0.115930:0.832476:0.115930:0.818137:0.103094:0.818137:0.000000 x :@0.115930:0.833056:0.132460:0.833056:0.132460:0.816919:0.115930:0.816919:0.000000:0.000000:0.000000 [ :@0.134270:0.832611:0.153298:0.832611:0.153298:0.819201:0.134270:0.819201:0.000000:0.000000 R:@0.155594:0.832041:0.168884:0.832041:0.168884:0.819144:0.155594:0.819144:0.000000 . :@0.168884:0.833059:0.176447:0.833059:0.176447:0.816632:0.168884:0.816632:0.000000:0.000000 Define:@0.178641:0.833059:0.231562:0.833059:0.231562:0.815631:0.178641:0.815631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función que en cada ítem se :@0.231562:0.833059:0.489860:0.833059:0.489860:0.816632:0.231562:0.816632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 propone. En el sistema de coordenadas rectan-:@0.103089:0.850457:0.485639:0.850457:0.485639:0.834030:0.103089:0.834030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gulares, :@0.103089:0.867855:0.165920:0.867855:0.165920:0.851428:0.103089:0.851428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 represéntala:@0.168191:0.867855:0.267952:0.867855:0.267952:0.850428:0.168191:0.850428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gráficamente junto con las :@0.267952:0.867855:0.489892:0.867855:0.489892:0.851428:0.267952:0.851428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 funciones :@0.103089:0.885254:0.182547:0.885254:0.182547:0.868827:0.103089:0.868827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f, g.:@0.182547:0.885254:0.206679:0.885254:0.206679:0.869117:0.182547:0.869117:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.206679:0.885254:0.210894:0.885254:0.210894:0.868827:0.206679:0.868827:0.000000 a. :@0.104514:0.912501:0.119958:0.912501:0.119958:0.896788:0.104514:0.896788:0.000000:0.000000:0.000000 fg. :@0.134715:0.912658:0.162761:0.912658:0.162761:0.896521:0.134715:0.896521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. (:@0.104514:0.939906:0.139593:0.939906:0.139593:0.924193:0.104514:0.924193:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.139519:0.939351:0.154853:0.939351:0.154853:0.925635:0.139519:0.925635:0.000000 f g. :@0.154754:0.940063:0.191595:0.940063:0.191595:0.923926:0.154754:0.923926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ):@0.159777:0.940063:0.164876:0.940063:0.164876:0.923636:0.159777:0.923636:0.000000 5. :@0.514112:0.135621:0.531120:0.135621:0.531120:0.118951:0.514112:0.118951:0.000000:0.000000:0.000000 Considera:@0.544312:0.135621:0.624074:0.135621:0.624074:0.118674:0.544312:0.118674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las funciones reales , definidas como :@0.624089:0.135621:0.930682:0.135621:0.930682:0.118951:0.624089:0.118951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f g:@0.781747:0.135621:0.804112:0.135621:0.804112:0.118937:0.781747:0.118937:0.000000:0.000000:0.000000:0.000000 f x x x , :@0.544233:0.153177:0.675573:0.153177:0.675573:0.137040:0.544233:0.137040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.549063:0.153177:0.566902:0.153177:0.566902:0.136750:0.549063:0.136750:0.000000:0.000000:0.000000 5:@0.570212:0.152597:0.586243:0.152597:0.586243:0.138258:0.570212:0.138258:0.000000 2:@0.597269:0.153177:0.602773:0.153177:0.602773:0.136750:0.597269:0.136750:0.000000 2 2:@0.606083:0.152597:0.652557:0.152597:0.652557:0.138258:0.606083:0.138258:0.000000:0.000000:0.000000 1:@0.655848:0.153177:0.665239:0.153177:0.665239:0.136750:0.655848:0.136750:0.000000 g x x x , x :@0.544233:0.182014:0.709346:0.182014:0.709346:0.165877:0.544233:0.165877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.557377:0.182014:0.575562:0.182014:0.575562:0.165588:0.557377:0.165588:0.000000:0.000000:0.000000 5 2 1 2:@0.579219:0.181434:0.678286:0.181434:0.678286:0.167095:0.579219:0.167095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.622537:0.182014:0.628040:0.182014:0.628040:0.165588:0.622537:0.165588:0.000000 1:@0.681750:0.182014:0.691141:0.182014:0.691141:0.165588:0.681750:0.165588:0.000000 [ :@0.709343:0.181564:0.728373:0.181564:0.728373:0.168154:0.709343:0.168154:0.000000:0.000000 R:@0.728373:0.180994:0.741663:0.180994:0.741663:0.168096:0.728373:0.168096:0.000000 .:@0.741663:0.182011:0.745011:0.182011:0.745011:0.165584:0.741663:0.165584:0.000000 a. :@0.545655:0.210688:0.561099:0.210688:0.561099:0.194975:0.545655:0.194975:0.000000:0.000000:0.000000 Calcula:@0.575857:0.210688:0.630780:0.210688:0.630780:0.194019:0.575857:0.194019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.630674:0.210688:0.634705:0.210688:0.634705:0.194975:0.630674:0.194975:0.000000 ( )( 1) ( )(0) ( ) ( 2) ( ) ( 3):@0.634631:0.210846:0.876228:0.209410:0.876228:0.192984:0.634631:0.194419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fg:@0.639654:0.210846:0.654164:0.210846:0.654164:0.194709:0.639654:0.194709:0.000000:0.000000 2:@0.664536:0.210266:0.680566:0.210266:0.680566:0.195927:0.664536:0.195927:0.000000 , fg:@0.695192:0.210846:0.721537:0.210846:0.721537:0.194709:0.695192:0.194709:0.000000:0.000000:0.000000:0.000000:0.000000 , fg , fg ,:@0.746612:0.210846:0.879619:0.210846:0.879619:0.194709:0.746612:0.194709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.514112:0.239680:0.517576:0.239680:0.517576:0.223543:0.514112:0.223543:0.000000 ( )(2):@0.537829:0.239680:0.582783:0.239680:0.582783:0.223253:0.537829:0.223253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fg:@0.542929:0.239680:0.557516:0.239680:0.557516:0.223543:0.542929:0.223543:0.000000:0.000000 .:@0.582975:0.239680:0.586458:0.239680:0.586458:0.223543:0.582975:0.223543:0.000000 6. :@0.514112:0.267601:0.531120:0.267601:0.531120:0.250931:0.514112:0.250931:0.000000:0.000000:0.000000 Recuerda:@0.544312:0.267601:0.621471:0.267601:0.621471:0.250654:0.544312:0.250654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que las operaciones de funciones se :@0.621861:0.267601:0.930768:0.267601:0.930768:0.250931:0.621861:0.250931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 definen de la siguiente manera.:@0.544238:0.284243:0.782562:0.284243:0.782562:0.267573:0.544238:0.267573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )( ) ( ) ( );:@0.544238:0.312326:0.705052:0.312321:0.705052:0.296608:0.544238:0.296613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.549042:0.312326:0.553736:0.312326:0.553736:0.296890:0.549042:0.296890:0.000000 1:@0.557620:0.311771:0.572953:0.311771:0.572953:0.298055:0.557620:0.298055:0.000000 g x:@0.576819:0.312326:0.603049:0.312326:0.603049:0.296890:0.576819:0.296890:0.000000:0.000000:0.000000 5:@0.611719:0.311771:0.627052:0.311771:0.627052:0.298055:0.611719:0.298055:0.000000 f x:@0.630918:0.312326:0.647797:0.312326:0.647797:0.296890:0.630918:0.296890:0.000000:0.000000:0.000000 1:@0.656467:0.311771:0.671800:0.311771:0.671800:0.298055:0.656467:0.298055:0.000000 g x:@0.675666:0.312326:0.697110:0.312326:0.697110:0.296890:0.675666:0.296890:0.000000:0.000000:0.000000 ( )( ) ( ) ( );:@0.755102:0.312321:0.915879:0.312321:0.915879:0.296608:0.755102:0.296608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.759877:0.312321:0.764571:0.312321:0.764571:0.296885:0.759877:0.296885:0.000000 2:@0.768455:0.311766:0.783788:0.311766:0.783788:0.298050:0.768455:0.298050:0.000000 g x:@0.787654:0.312321:0.813884:0.312321:0.813884:0.296885:0.787654:0.296885:0.000000:0.000000:0.000000 5:@0.822554:0.311766:0.837887:0.311766:0.837887:0.298050:0.822554:0.298050:0.000000 f x:@0.841753:0.312321:0.858632:0.312321:0.858632:0.296885:0.841753:0.296885:0.000000:0.000000:0.000000 2:@0.867302:0.311766:0.882635:0.311766:0.882635:0.298050:0.867302:0.298050:0.000000 g x:@0.886501:0.312321:0.907945:0.312321:0.907945:0.296885:0.886501:0.296885:0.000000:0.000000:0.000000 ( × )( ) ( ) × ( ); :@0.544218:0.350139:0.700308:0.350143:0.700308:0.334430:0.544218:0.334426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.549022:0.350139:0.553716:0.350139:0.553716:0.334704:0.549022:0.334704:0.000000 g x:@0.572436:0.350139:0.598667:0.350139:0.598667:0.334704:0.572436:0.334704:0.000000:0.000000:0.000000 5:@0.607336:0.349584:0.622670:0.349584:0.622670:0.335869:0.607336:0.335869:0.000000 f x:@0.626535:0.350139:0.643415:0.350139:0.643415:0.334704:0.626535:0.334704:0.000000:0.000000:0.000000 g x:@0.666921:0.350139:0.688365:0.350139:0.688365:0.334704:0.666921:0.334704:0.000000:0.000000:0.000000 f:@0.764330:0.338455:0.769237:0.338455:0.769237:0.322318:0.764330:0.322318:0.000000 x:@0.764330:0.358419:0.772124:0.358419:0.772124:0.342282:0.764330:0.342282:0.000000 ( ) :@0.785490:0.350143:0.825519:0.350143:0.825519:0.334430:0.785490:0.334430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.790288:0.350143:0.797743:0.350143:0.797743:0.334708:0.790288:0.334708:0.000000 5:@0.806247:0.349588:0.821580:0.349588:0.821580:0.335873:0.806247:0.335873:0.000000 f :@0.831612:0.340672:0.839983:0.340672:0.839983:0.324535:0.831612:0.324535:0.000000:0.000000 ( ):@0.839982:0.340515:0.857193:0.340515:0.857193:0.324802:0.839982:0.324802:0.000000:0.000000:0.000000 x:@0.844860:0.340515:0.852315:0.340515:0.852315:0.325079:0.844860:0.325079:0.000000 g :@0.829226:0.360888:0.842369:0.360888:0.842369:0.344751:0.829226:0.344751:0.000000:0.000000 ( ):@0.842369:0.360731:0.859579:0.360731:0.859579:0.345018:0.842369:0.345018:0.000000:0.000000:0.000000 x:@0.847247:0.360731:0.854702:0.360731:0.854702:0.345295:0.847247:0.345295:0.000000 ; ( ):@0.861375:0.350143:0.898318:0.350143:0.898318:0.334430:0.861375:0.334430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g x:@0.872070:0.350143:0.893514:0.350143:0.893514:0.334708:0.872070:0.334708:0.000000:0.000000:0.000000 ± :@0.898245:0.350684:0.918088:0.350684:0.918088:0.335512:0.898245:0.335512:0.000000:0.000000 0:@0.917812:0.350143:0.926794:0.350143:0.926794:0.334430:0.917812:0.334430:0.000000 El dominio de las operaciones anteriores está de-:@0.544233:0.379135:0.926783:0.379135:0.926783:0.362708:0.544233:0.362708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 terminado por::@0.544233:0.396533:0.659196:0.396533:0.659196:0.380106:0.544233:0.380106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dom f :@0.544233:0.424453:0.592718:0.424453:0.592718:0.409017:0.544233:0.409017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.579833:0.424453:0.584711:0.424453:0.584711:0.408740:0.579833:0.408740:0.000000 1 :@0.592718:0.423898:0.612653:0.423898:0.612653:0.410182:0.592718:0.410182:0.000000:0.000000 g f :@0.612653:0.424453:0.637153:0.424453:0.637153:0.409017:0.612653:0.409017:0.000000:0.000000:0.000000:0.000000 , :@0.621912:0.424453:0.629146:0.424453:0.629146:0.408740:0.621912:0.408740:0.000000:0.000000 2 :@0.637153:0.423898:0.657088:0.423898:0.657088:0.410182:0.637153:0.410182:0.000000:0.000000 g f g:@0.657088:0.424453:0.705849:0.424453:0.705849:0.409017:0.657088:0.409017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , × ) :@0.666347:0.424453:0.714758:0.424453:0.714758:0.408740:0.666347:0.408740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.714758:0.423898:0.734693:0.423898:0.734693:0.410182:0.714758:0.410182:0.000000:0.000000 Dom f :@0.734693:0.424453:0.788056:0.424453:0.788056:0.409017:0.734693:0.409017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.770293:0.424453:0.784742:0.424453:0.784742:0.408740:0.770293:0.408740:0.000000:0.000000:0.000000 >:@0.788056:0.424314:0.803389:0.424314:0.803389:0.410265:0.788056:0.410265:0.000000 :@0.803389:0.423898:0.807991:0.423898:0.807991:0.410182:0.803389:0.410182:0.000000 Dom g:@0.807991:0.424453:0.857727:0.424453:0.857727:0.409017:0.807991:0.409017:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.843590:0.424453:0.862605:0.424453:0.862605:0.408740:0.843590:0.408740:0.000000:0.000000:0.000000 Dom f g:@0.544233:0.452536:0.611696:0.452536:0.611696:0.437100:0.544233:0.437100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.579833:0.452536:0.584711:0.452536:0.584711:0.436823:0.579833:0.436823:0.000000 / 5:@0.592718:0.451981:0.635938:0.451981:0.635938:0.438265:0.592718:0.438265:0.000000:0.000000:0.000000:0.000000 ) :@0.611696:0.452536:0.639969:0.452536:0.639969:0.436823:0.611696:0.436823:0.000000:0.000000:0.000000:0.000000 Dom f :@0.639969:0.452536:0.693332:0.452536:0.693332:0.437100:0.639969:0.437100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.675569:0.452536:0.690018:0.452536:0.690018:0.436823:0.675569:0.436823:0.000000:0.000000:0.000000 >:@0.693332:0.452397:0.708665:0.452397:0.708665:0.438348:0.693332:0.438348:0.000000 :@0.708665:0.451981:0.713267:0.451981:0.713267:0.438265:0.708665:0.438265:0.000000 Dom g:@0.713267:0.452536:0.763003:0.452536:0.763003:0.437100:0.713267:0.437100:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) { ( ) :@0.748866:0.452536:0.826656:0.452536:0.826656:0.436823:0.748866:0.436823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.771912:0.451981:0.787246:0.451981:0.787246:0.438265:0.771912:0.438265:0.000000 g x:@0.796155:0.452536:0.817746:0.452536:0.817746:0.437100:0.796155:0.437100:0.000000:0.000000:0.000000 5 :@0.826656:0.451981:0.846591:0.451981:0.846591:0.438265:0.826656:0.438265:0.000000:0.000000 0} :@0.846591:0.452536:0.864851:0.452536:0.864851:0.436823:0.846591:0.436823:0.000000:0.000000:0.000000 Efectúa:@0.544233:0.481523:0.603832:0.481523:0.603832:0.464095:0.544233:0.464095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las operaciones y:@0.603832:0.481523:0.739213:0.481523:0.739213:0.465096:0.603832:0.465096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 determina:@0.739213:0.481523:0.826561:0.481523:0.826561:0.464095:0.739213:0.464095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su dominio.:@0.826561:0.481523:0.920450:0.481523:0.920450:0.465096:0.826561:0.465096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i. :@0.545655:0.509443:0.556589:0.509443:0.556589:0.493730:0.545655:0.493730:0.000000:0.000000:0.000000 Sean: ( ) :@0.575857:0.509443:0.644037:0.509443:0.644037:0.493730:0.575857:0.493730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.618396:0.509443:0.635275:0.509443:0.635275:0.494008:0.618396:0.494008:0.000000:0.000000:0.000000 5 :@0.643945:0.508888:0.663788:0.508888:0.663788:0.495173:0.643945:0.495173:0.000000:0.000000 :@0.663704:0.508161:0.673942:0.508161:0.673942:0.492024:0.663704:0.492024:0.000000:0.000000:0.000000 x g x:@0.673887:0.508003:0.715101:0.509443:0.715101:0.494008:0.673887:0.492568:0.000000:0.000000:0.000000:0.000000:0.000000 ; ( ) :@0.686024:0.509443:0.723863:0.509443:0.723863:0.493730:0.686024:0.493730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.689147:0.508888:0.693748:0.508888:0.693748:0.495173:0.689147:0.495173:0.000000 5 :@0.723771:0.508888:0.743614:0.508888:0.743614:0.495173:0.723771:0.495173:0.000000:0.000000 3:@0.743522:0.509443:0.752504:0.509443:0.752504:0.493730:0.743522:0.493730:0.000000 x :@0.752431:0.509443:0.763125:0.509443:0.763125:0.494008:0.752431:0.494008:0.000000:0.000000 2 :@0.763070:0.508888:0.782913:0.508888:0.782913:0.495173:0.763070:0.495173:0.000000:0.000000 5 :@0.782821:0.509443:0.795835:0.509443:0.795835:0.493730:0.782821:0.493730:0.000000:0.000000 :@0.545655:0.537521:0.549687:0.537521:0.549687:0.521808:0.545655:0.521808:0.000000 Domf x :@0.574354:0.537521:0.634693:0.537521:0.634693:0.522086:0.574354:0.522086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.614390:0.537521:0.638651:0.537521:0.638651:0.521808:0.614390:0.521808:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.638562:0.536966:0.653895:0.536966:0.653895:0.523251:0.638562:0.523251:0.000000 ; :@0.755080:0.537521:0.762240:0.537521:0.762240:0.521808:0.755080:0.521808:0.000000:0.000000 Domg x :@0.762148:0.537521:0.827052:0.537521:0.827052:0.522086:0.762148:0.522086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) :@0.806749:0.537521:0.831010:0.537521:0.831010:0.521808:0.806749:0.521808:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.830936:0.536966:0.846269:0.536966:0.846269:0.523251:0.830936:0.523251:0.000000 :@0.545655:0.565599:0.549687:0.565599:0.549687:0.549887:0.545655:0.549887:0.000000 Dom f g x:@0.574354:0.565599:0.665967:0.565599:0.665967:0.550164:0.574354:0.550164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.609751:0.565599:0.614629:0.565599:0.614629:0.549887:0.609751:0.549887:0.000000 ∩:@0.622434:0.565183:0.636571:0.565183:0.636571:0.548195:0.622434:0.548195:0.000000 )( ) :@0.648922:0.565599:0.694001:0.565599:0.694001:0.549887:0.648922:0.549887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.674637:0.565044:0.689970:0.565044:0.689970:0.551329:0.674637:0.551329:0.000000 a. (:@0.545655:0.593677:0.580735:0.593677:0.580735:0.577965:0.545655:0.577965:0.000000:0.000000:0.000000:0.000000:0.000000 f g x:@0.580661:0.593677:0.633269:0.593677:0.633269:0.578242:0.580661:0.578242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.588539:0.593123:0.603873:0.593123:0.603873:0.579407:0.588539:0.579407:0.000000 )) ) :@0.616224:0.593677:0.661303:0.593677:0.661303:0.577965:0.616224:0.577965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.641939:0.593123:0.657272:0.593123:0.657272:0.579407:0.641939:0.579407:0.000000 Dom f g x:@0.574354:0.622511:0.668323:0.622511:0.668323:0.607075:0.574354:0.607075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.609954:0.622511:0.614832:0.622511:0.614832:0.606798:0.609954:0.606798:0.000000 2:@0.622839:0.621956:0.638172:0.621956:0.638172:0.608240:0.622839:0.608240:0.000000 )( ) :@0.650928:0.622511:0.696965:0.622511:0.696965:0.606798:0.650928:0.606798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.677600:0.621956:0.692934:0.621956:0.692934:0.608240:0.677600:0.608240:0.000000 b. 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Sean: ( ) :@0.545655:0.940761:0.644037:0.940761:0.644037:0.925048:0.545655:0.925048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.618396:0.940761:0.635275:0.940761:0.635275:0.925326:0.618396:0.925326:0.000000:0.000000:0.000000 5 :@0.643945:0.940206:0.663788:0.940206:0.663788:0.926491:0.643945:0.926491:0.000000:0.000000 x ;:@0.663704:0.938684:0.721186:0.938684:0.721186:0.922547:0.663704:0.922547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.688818:0.938104:0.704848:0.938104:0.704848:0.923765:0.688818:0.923765:0.000000 1:@0.708312:0.938684:0.717703:0.938684:0.717703:0.922257:0.708312:0.922257:0.000000 :@0.721092:0.940206:0.725693:0.940206:0.725693:0.926491:0.721092:0.926491:0.000000 g x:@0.725601:0.940761:0.752218:0.940761:0.752218:0.925326:0.725601:0.925326:0.000000:0.000000:0.000000 )( ) :@0.734971:0.940761:0.761348:0.940761:0.761348:0.925048:0.734971:0.925048:0.000000:0.000000:0.000000:0.000000:0.000000 5 :@0.761256:0.940206:0.781099:0.940206:0.781099:0.926491:0.761256:0.926491:0.000000:0.000000 x ;:@0.781012:0.938474:0.851407:0.938474:0.851407:0.922337:0.781012:0.922337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1:@0.792790:0.937894:0.835588:0.937894:0.835588:0.923555:0.792790:0.923555:0.000000:0.000000:0.000000 5:@0.838532:0.938474:0.847923:0.938474:0.847923:0.922047:0.838532:0.922047:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( 1) 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2:@0.765133:0.227836:0.798963:0.227836:0.798963:0.219107:0.765133:0.219107:0.000000:0.000000:0.000000:0.000000 (1 :@0.777819:0.228189:0.789205:0.228189:0.789205:0.218190:0.777819:0.218190:0.000000:0.000000:0.000000 2 )( 2:@0.808449:0.226498:0.841917:0.226498:0.841917:0.216499:0.808449:0.216499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.848256:0.227836:0.858013:0.227836:0.858013:0.219107:0.848256:0.219107:0.000000 3),:@0.858013:0.228189:0.868872:0.228189:0.868872:0.218190:0.858013:0.218190:0.000000:0.000000:0.000000 ( ) 3 (2 :@0.601987:0.241850:0.664889:0.241847:0.664889:0.231848:0.601987:0.231851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fg:@0.605091:0.241850:0.613970:0.241850:0.613970:0.232028:0.605091:0.232028:0.000000:0.000000 5 2:@0.643746:0.241494:0.674647:0.241494:0.674647:0.232766:0.643746:0.232766:0.000000:0.000000:0.000000 3 )( 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1:@0.381650:0.536501:0.391408:0.536501:0.391408:0.527773:0.381650:0.527773:0.000000 :@0.391408:0.532995:0.392903:0.532995:0.392903:0.527166:0.391408:0.527166:0.000000 1; sí 1 :@0.392904:0.536854:0.430645:0.536854:0.430645:0.526855:0.392904:0.526855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 # ,:@0.412606:0.536501:0.459941:0.536501:0.459941:0.527773:0.412606:0.527773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.443331:0.536854:0.462050:0.536854:0.462050:0.527032:0.443331:0.527032:0.000000:0.000000:0.000000:0.000000 0:@0.462050:0.536854:0.467766:0.536854:0.467766:0.526855:0.462050:0.526855:0.000000 (:@0.327811:0.546941:0.347396:0.546941:0.347396:0.536942:0.327811:0.536942:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.335507:0.546588:0.357153:0.546588:0.357153:0.537860:0.335507:0.537860:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.357153:0.546941:0.361897:0.546941:0.361897:0.537119:0.357153:0.537119:0.000000 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(3:@0.741293:0.886108:0.750113:0.886108:0.750113:0.876109:0.741293:0.876109:0.000000:0.000000 x :@0.750113:0.886108:0.756966:0.886108:0.756966:0.876286:0.750113:0.876286:0.000000:0.000000 2:@0.756966:0.885755:0.766723:0.885755:0.766723:0.877027:0.756966:0.877027:0.000000 2):@0.766723:0.886108:0.778109:0.886108:0.778109:0.876109:0.766723:0.876109:0.000000:0.000000:0.000000 2:@0.778106:0.882253:0.781438:0.882253:0.781438:0.876424:0.778106:0.876424:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000