138:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Funciones racionales y cónicas:@0.073089:0.043660:0.358555:0.043660:0.358555:0.024915:0.073089:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Heteroevaluación:@0.073089:0.133262:0.207447:0.133262:0.207447:0.116592:0.073089:0.116592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1.:@0.073089:0.161387:0.086268:0.161387:0.086268:0.144717:0.073089:0.144717:0.000000:0.000000 :@0.086185:0.161382:0.090217:0.161382:0.090217:0.145669:0.086185:0.145669:0.000000 En cada ítem se define una función racional. :@0.103210:0.161539:0.441234:0.161539:0.441234:0.145112:0.103210:0.145112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Precisa:@0.103210:0.178938:0.158430:0.178938:0.158430:0.161510:0.103210:0.161510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su dominio y asíntotas. :@0.158324:0.178938:0.339779:0.178938:0.339779:0.162511:0.158324:0.162511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Traza:@0.339525:0.178938:0.380890:0.178938:0.380890:0.161510:0.339525:0.161510:0.000000:0.000000:0.000000:0.000000:0.000000 la gráfica de :@0.380804:0.178938:0.480711:0.178938:0.480711:0.162511:0.380804:0.162511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la función.:@0.103210:0.196336:0.181552:0.196336:0.181552:0.179909:0.103210:0.179909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.181478:0.196178:0.185380:0.196178:0.185380:0.179509:0.181478:0.179509:0.000000 a. :@0.103210:0.226519:0.118653:0.226519:0.118653:0.210807:0.103210:0.210807:0.000000:0.000000:0.000000 k x:@0.133331:0.226519:0.153082:0.226519:0.153082:0.211084:0.133331:0.211084:0.000000:0.000000:0.000000 ( ) 1 , ≠ 0.:@0.140823:0.226519:0.284376:0.226519:0.284376:0.210807:0.140823:0.210807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.161752:0.225965:0.209132:0.225965:0.209132:0.212249:0.161752:0.212249:0.000000:0.000000:0.000000 1:@0.215419:0.220705:0.224810:0.220705:0.224810:0.204278:0.215419:0.204278:0.000000 x:@0.216228:0.237088:0.224021:0.237088:0.224021:0.220951:0.216228:0.220951:0.000000 x:@0.246071:0.226519:0.253526:0.226519:0.253526:0.211084:0.246071:0.211084:0.000000 b. ( ) 3 :@0.103210:0.261002:0.224539:0.261002:0.224539:0.245289:0.103210:0.245289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 l x:@0.133331:0.261002:0.149308:0.261002:0.149308:0.245567:0.133331:0.245567:0.000000:0.000000:0.000000 5 2 1:@0.157978:0.260447:0.220599:0.260447:0.220599:0.246732:0.157978:0.246732:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.240938:0.251046:0.250329:0.251046:0.250329:0.234619:0.240938:0.234619:0.000000 x:@0.224812:0.267429:0.232606:0.267429:0.232606:0.251292:0.224812:0.251292:0.000000 5:@0.232606:0.267429:0.266456:0.267429:0.266456:0.251002:0.232606:0.251002:0.000000:0.000000:0.000000:0.000000 1:@0.236820:0.266849:0.252850:0.266849:0.252850:0.252510:0.236820:0.252510:0.000000 , ≠ 5.:@0.266720:0.261002:0.339171:0.261002:0.339171:0.245289:0.266720:0.245289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.285643:0.261002:0.293098:0.261002:0.293098:0.245567:0.285643:0.245567:0.000000 2:@0.311818:0.260447:0.327151:0.260447:0.327151:0.246732:0.311818:0.246732:0.000000 c. :@0.103210:0.295614:0.118285:0.295614:0.118285:0.279902:0.103210:0.279902:0.000000:0.000000:0.000000 r x:@0.133331:0.295614:0.150799:0.295614:0.150799:0.280179:0.133331:0.280179:0.000000:0.000000:0.000000 ( ) 5 :@0.138540:0.295614:0.210788:0.295614:0.210788:0.279902:0.138540:0.279902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.159469:0.295060:0.206849:0.295060:0.206849:0.281344:0.159469:0.281344:0.000000:0.000000:0.000000 4:@0.226967:0.285528:0.236358:0.285528:0.236358:0.269102:0.226967:0.269102:0.000000 x:@0.210841:0.301912:0.218635:0.301912:0.218635:0.285775:0.210841:0.285775:0.000000 1:@0.218635:0.301912:0.252485:0.301912:0.252485:0.285485:0.218635:0.285485:0.000000:0.000000:0.000000:0.000000 2:@0.222849:0.301332:0.238879:0.301332:0.238879:0.286993:0.222849:0.286993:0.000000 , ≠ 1.:@0.252527:0.295614:0.309755:0.295614:0.309755:0.279902:0.252527:0.279902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.271449:0.295614:0.278904:0.295614:0.278904:0.280179:0.271449:0.280179:0.000000 2. Determina:@0.073089:0.322978:0.182748:0.322978:0.182748:0.306308:0.073089:0.306308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el dominio y las asíntotas, y :@0.182449:0.322978:0.381527:0.322978:0.381527:0.307265:0.182449:0.307265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 traza:@0.381063:0.322978:0.417669:0.322978:0.417669:0.306308:0.381063:0.306308:0.000000:0.000000:0.000000:0.000000:0.000000 la gráfica :@0.417399:0.322978:0.488057:0.322978:0.488057:0.307265:0.417399:0.307265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de la función que se precisa.:@0.103205:0.339619:0.302790:0.339619:0.302790:0.323907:0.103205:0.323907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u x:@0.103205:0.375566:0.124705:0.375566:0.124705:0.360131:0.103205:0.360131:0.000000:0.000000:0.000000 ( ) :@0.112446:0.375566:0.171846:0.375566:0.171846:0.359853:0.112446:0.359853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.133375:0.375011:0.167907:0.375011:0.167907:0.361295:0.133375:0.361295:0.000000:0.000000:0.000000 2:@0.219250:0.364146:0.228641:0.364146:0.228641:0.347719:0.219250:0.347719:0.000000 ( 4)( 1):@0.172102:0.380529:0.275788:0.380529:0.275788:0.364103:0.172102:0.364103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.177202:0.380529:0.184995:0.380529:0.184995:0.364393:0.177202:0.364393:0.000000 1:@0.189210:0.379949:0.205240:0.379949:0.205240:0.365610:0.189210:0.365610:0.000000 x:@0.229045:0.380529:0.236839:0.380529:0.236839:0.364393:0.229045:0.364393:0.000000 1:@0.241053:0.379949:0.257083:0.379949:0.257083:0.365610:0.241053:0.365610:0.000000 , ≠ 4, 1.:@0.276036:0.375567:0.379706:0.375567:0.379706:0.359854:0.276036:0.359854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.294959:0.375567:0.302414:0.375567:0.302414:0.360132:0.294959:0.360132:0.000000 2 2:@0.321134:0.375012:0.367686:0.375012:0.367686:0.361297:0.321134:0.361297:0.000000:0.000000:0.000000 3. Demuestra:@0.073089:0.427947:0.185604:0.427947:0.185604:0.411278:0.073089:0.411278:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las siguientes igualdades, donde :@0.185302:0.427947:0.450466:0.427947:0.450466:0.412235:0.185302:0.412235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.421780:0.427947:0.429235:0.427947:0.429235:0.412512:0.421780:0.412512:0.000000 [:@0.432749:0.427506:0.446688:0.427506:0.446688:0.414735:0.432749:0.414735:0.000000 R :@0.450202:0.426969:0.467281:0.426969:0.467281:0.414658:0.450202:0.414658:0.000000:0.000000 cumple la restricción que se indica. Para ello, :@0.103209:0.444589:0.419969:0.444589:0.419969:0.428876:0.103209:0.428876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 desarrolla:@0.103209:0.461231:0.176240:0.461231:0.176240:0.444561:0.103209:0.444561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el lado derecho y :@0.175955:0.461231:0.305426:0.461231:0.305426:0.445518:0.175955:0.445518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtén:@0.305045:0.461231:0.350010:0.461231:0.350010:0.444561:0.305045:0.444561:0.000000:0.000000:0.000000:0.000000:0.000000 el lado izquierdo, y :@0.349738:0.461231:0.489263:0.461231:0.489263:0.445518:0.349738:0.445518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 luego :@0.103228:0.477873:0.148381:0.477873:0.148381:0.462160:0.103228:0.462160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parte:@0.148086:0.477873:0.188058:0.477873:0.188058:0.461203:0.148086:0.461203:0.000000:0.000000:0.000000:0.000000:0.000000 del lado izquierdo y :@0.187791:0.477873:0.334209:0.477873:0.334209:0.462160:0.187791:0.462160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 construye:@0.333816:0.477873:0.407456:0.477873:0.407456:0.461203:0.333816:0.461203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el lado :@0.407168:0.477873:0.462353:0.477873:0.462353:0.462160:0.407168:0.462160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 derecho mediante la resolución de un sistema de :@0.103246:0.494515:0.456680:0.494515:0.456680:0.478802:0.103246:0.478802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ecuaciones lineales apropiado.:@0.103246:0.511156:0.319776:0.511156:0.319776:0.495444:0.103246:0.495444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.103209:0.546436:0.137374:0.546436:0.137374:0.530723:0.103209:0.530723:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.137393:0.535103:0.153423:0.535103:0.153423:0.520764:0.137393:0.520764:0.000000 2 11 6:@0.153423:0.535683:0.260966:0.535683:0.260966:0.519256:0.153423:0.519256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.162814:0.535683:0.170608:0.535683:0.170608:0.519546:0.162814:0.519546:0.000000 2:@0.170608:0.529343:0.176083:0.529343:0.176083:0.519766:0.170608:0.519766:0.000000 2:@0.180296:0.535103:0.196326:0.535103:0.196326:0.520764:0.180296:0.520764:0.000000 x:@0.219322:0.535683:0.227116:0.535683:0.227116:0.519546:0.219322:0.519546:0.000000 1:@0.231331:0.535103:0.247361:0.535103:0.247361:0.520764:0.231331:0.520764:0.000000 x x:@0.143444:0.552066:0.164131:0.552066:0.164131:0.535929:0.143444:0.535929:0.000000:0.000000:0.000000 ( 2)( 3):@0.151237:0.552066:0.254924:0.552066:0.254924:0.535639:0.151237:0.535639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.168345:0.551486:0.184375:0.551486:0.184375:0.537147:0.168345:0.537147:0.000000 x:@0.208180:0.552066:0.215974:0.552066:0.215974:0.535929:0.208180:0.535929:0.000000 2:@0.220188:0.551486:0.236219:0.551486:0.236219:0.537147:0.220188:0.537147:0.000000 :@0.260996:0.546436:0.284226:0.546436:0.284226:0.530723:0.260996:0.530723:0.000000:0.000000:0.000000 5:@0.264953:0.545881:0.280286:0.545881:0.280286:0.532166:0.264953:0.532166:0.000000 –1:@0.285305:0.539106:0.304510:0.539106:0.304510:0.522679:0.285305:0.522679:0.000000:0.000000 x:@0.290905:0.555489:0.298699:0.555489:0.298699:0.539352:0.290905:0.539352:0.000000 :@0.305404:0.546436:0.328634:0.546436:0.328634:0.530723:0.305404:0.530723:0.000000:0.000000:0.000000 1:@0.309362:0.545881:0.324695:0.545881:0.324695:0.532166:0.309362:0.532166:0.000000 2:@0.344484:0.537321:0.353875:0.537321:0.353875:0.520894:0.344484:0.520894:0.000000 x :@0.328743:0.553704:0.340000:0.553704:0.340000:0.537567:0.328743:0.537567:0.000000:0.000000 1:@0.340000:0.553124:0.356031:0.553124:0.356031:0.538785:0.340000:0.538785:0.000000 2:@0.356031:0.553704:0.369636:0.553704:0.369636:0.537277:0.356031:0.537277:0.000000:0.000000 :@0.369734:0.546436:0.392964:0.546436:0.392964:0.530723:0.369734:0.530723:0.000000:0.000000:0.000000 2:@0.373692:0.545881:0.389025:0.545881:0.389025:0.532166:0.373692:0.532166:0.000000 3:@0.408590:0.536513:0.417981:0.536513:0.417981:0.520086:0.408590:0.520086:0.000000 x :@0.392868:0.552896:0.404125:0.552896:0.404125:0.536759:0.392868:0.536759:0.000000:0.000000 2:@0.404087:0.552316:0.420117:0.552316:0.420117:0.537977:0.404087:0.537977:0.000000 3:@0.420117:0.552896:0.433684:0.552896:0.433684:0.536469:0.420117:0.536469:0.000000:0.000000 ,:@0.433614:0.546436:0.436817:0.546436:0.436817:0.530723:0.433614:0.530723:0.000000 :@0.103209:0.573799:0.107241:0.573799:0.107241:0.558086:0.103209:0.558086:0.000000 si x ≠ 0, x ≠ 2, x ≠ 3.:@0.133324:0.573799:0.290956:0.573799:0.290956:0.558086:0.133324:0.558086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.220972:0.573244:0.236305:0.573244:0.236305:0.559529:0.220972:0.559529:0.000000 b. :@0.103209:0.627635:0.120107:0.627635:0.120107:0.611923:0.103209:0.611923:0.000000:0.000000:0.000000 x:@0.162475:0.618111:0.170269:0.618111:0.170269:0.601974:0.162475:0.601974:0.000000 2:@0.170268:0.611772:0.175743:0.611772:0.175743:0.602195:0.170268:0.602195:0.000000 6 9:@0.175743:0.618111:0.251237:0.618111:0.251237:0.601684:0.175743:0.601684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.179958:0.617531:0.195988:0.617531:0.195988:0.603191:0.179958:0.603191:0.000000 x:@0.209593:0.618111:0.217387:0.618111:0.217387:0.601974:0.209593:0.601974:0.000000 1:@0.221602:0.617531:0.237632:0.617531:0.237632:0.603191:0.221602:0.603191:0.000000 ( 1)( 2)( 4):@0.133426:0.634494:0.280296:0.634494:0.280296:0.618067:0.133426:0.618067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.138525:0.634494:0.146319:0.634494:0.146319:0.618357:0.138525:0.618357:0.000000 2:@0.149090:0.633914:0.165121:0.633914:0.165121:0.619575:0.149090:0.619575:0.000000 x:@0.187482:0.634494:0.195276:0.634494:0.195276:0.618357:0.187482:0.618357:0.000000 2:@0.198047:0.633914:0.214077:0.633914:0.214077:0.619575:0.198047:0.619575:0.000000 x:@0.236439:0.634494:0.244232:0.634494:0.244232:0.618357:0.236439:0.618357:0.000000 1:@0.247004:0.633914:0.263034:0.633914:0.263034:0.619575:0.247004:0.619575:0.000000 :@0.280300:0.627635:0.303530:0.627635:0.303530:0.611923:0.280300:0.611923:0.000000:0.000000:0.000000 5:@0.284257:0.627081:0.299591:0.627081:0.299591:0.613365:0.284257:0.613365:0.000000 x :@0.303746:0.632540:0.333054:0.632540:0.333054:0.616403:0.303746:0.616403:0.000000:0.000000:0.000000:0.000000 2:@0.313560:0.631960:0.329590:0.631960:0.329590:0.617621:0.313560:0.617621:0.000000 1:@0.331611:0.632540:0.341002:0.632540:0.341002:0.616113:0.331611:0.616113:0.000000 16:@0.310652:0.599193:0.329434:0.599193:0.329434:0.582766:0.310652:0.582766:0.000000:0.000000 5:@0.315347:0.615576:0.324738:0.615576:0.324738:0.599150:0.315347:0.599150:0.000000 :@0.341224:0.627635:0.368394:0.627635:0.368394:0.611923:0.341224:0.611923:0.000000:0.000000:0.000000:0.000000 1:@0.349121:0.627081:0.364454:0.627081:0.364454:0.613365:0.349121:0.613365:0.000000 25:@0.376526:0.598326:0.395308:0.598326:0.395308:0.581899:0.376526:0.581899:0.000000:0.000000 6:@0.381222:0.614709:0.390613:0.614709:0.390613:0.598282:0.381222:0.598282:0.000000 x :@0.368558:0.631674:0.397866:0.631674:0.397866:0.615537:0.368558:0.615537:0.000000:0.000000:0.000000:0.000000 2:@0.378372:0.631094:0.394402:0.631094:0.394402:0.616755:0.378372:0.616755:0.000000 2:@0.396423:0.631674:0.405814:0.631674:0.405814:0.615247:0.396423:0.615247:0.000000 :@0.405974:0.627635:0.437101:0.627635:0.437101:0.611923:0.405974:0.611923:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.417829:0.627081:0.433162:0.627081:0.433162:0.613365:0.417829:0.613365:0.000000 1:@0.448924:0.599619:0.458315:0.599619:0.458315:0.583192:0.448924:0.583192:0.000000 30:@0.444228:0.616003:0.463010:0.616003:0.463010:0.599576:0.444228:0.599576:0.000000:0.000000 x :@0.437190:0.632967:0.466498:0.632967:0.466498:0.616830:0.437190:0.616830:0.000000:0.000000:0.000000:0.000000 1:@0.447004:0.632387:0.463034:0.632387:0.463034:0.618048:0.447004:0.618048:0.000000 4:@0.465055:0.632967:0.474446:0.632967:0.474446:0.616540:0.465055:0.616540:0.000000 ,:@0.474538:0.627635:0.477741:0.627635:0.477741:0.611923:0.474538:0.611923:0.000000 :@0.103209:0.654999:0.107241:0.654999:0.107241:0.639286:0.103209:0.639286:0.000000 si x ≠ 1, x ≠ 2, x ≠ 4.:@0.133324:0.654999:0.290906:0.654999:0.290906:0.639286:0.133324:0.639286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.263553:0.654444:0.278886:0.654444:0.278886:0.640728:0.263553:0.640728:0.000000 c. :@0.103209:0.708329:0.137355:0.708329:0.137355:0.692617:0.103209:0.692617:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.144597:0.700744:0.152390:0.700744:0.152390:0.684607:0.144597:0.684607:0.000000 2:@0.152389:0.694403:0.157864:0.694403:0.157864:0.684826:0.152389:0.684826:0.000000 2 1:@0.157865:0.700744:0.233359:0.700744:0.233359:0.684317:0.157865:0.684317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.162079:0.700164:0.178109:0.700164:0.178109:0.685824:0.162079:0.685824:0.000000 x:@0.191715:0.700744:0.199509:0.700744:0.199509:0.684607:0.191715:0.684607:0.000000 2:@0.203723:0.700164:0.219753:0.700164:0.219753:0.685824:0.203723:0.685824:0.000000 2 3 2:@0.137543:0.717127:0.232621:0.717133:0.232621:0.700706:0.137543:0.700700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.146934:0.717127:0.154728:0.717127:0.154728:0.700990:0.146934:0.700990:0.000000 3:@0.154722:0.710793:0.160197:0.710793:0.160197:0.701216:0.154722:0.701216:0.000000 1:@0.162969:0.716553:0.178999:0.716553:0.178999:0.702214:0.162969:0.702214:0.000000 x:@0.188390:0.717133:0.196184:0.717133:0.196184:0.700996:0.188390:0.700996:0.000000 2:@0.196184:0.710793:0.201659:0.710793:0.201659:0.701216:0.196184:0.701216:0.000000 2:@0.204428:0.716553:0.220459:0.716553:0.220459:0.702214:0.204428:0.702214:0.000000 x:@0.232621:0.717133:0.240415:0.717133:0.240415:0.700996:0.232621:0.700996:0.000000 :@0.240592:0.708329:0.263822:0.708329:0.263822:0.692617:0.240592:0.692617:0.000000:0.000000:0.000000 5:@0.244550:0.707775:0.259883:0.707775:0.259883:0.694059:0.244550:0.694059:0.000000 x:@0.274066:0.717682:0.281860:0.717682:0.281860:0.701545:0.274066:0.701545:0.000000 1:@0.273742:0.686283:0.283133:0.686283:0.283133:0.669856:0.273742:0.669856:0.000000 2:@0.273742:0.702666:0.283133:0.702666:0.283133:0.686239:0.273742:0.686239:0.000000 :@0.292114:0.708329:0.315344:0.708329:0.315344:0.692617:0.292114:0.692617:0.000000:0.000000:0.000000 1:@0.296071:0.707775:0.311405:0.707775:0.311405:0.694059:0.296071:0.694059:0.000000 1:@0.330957:0.679525:0.340348:0.679525:0.340348:0.663098:0.330957:0.663098:0.000000 5:@0.330957:0.695909:0.340348:0.695909:0.340348:0.679482:0.330957:0.679482:0.000000 2:@0.315478:0.711462:0.324869:0.711462:0.324869:0.695035:0.315478:0.695035:0.000000 x :@0.324869:0.711462:0.354177:0.711462:0.354177:0.695325:0.324869:0.695325:0.000000:0.000000:0.000000:0.000000 2:@0.334683:0.710882:0.350713:0.710882:0.350713:0.696543:0.334683:0.696543:0.000000 1:@0.352734:0.711462:0.362125:0.711462:0.362125:0.695035:0.352734:0.695035:0.000000 :@0.362266:0.708329:0.386232:0.708329:0.386232:0.692617:0.362266:0.692617:0.000000:0.000000:0.000000 1:@0.366959:0.707775:0.382293:0.707775:0.382293:0.694059:0.366959:0.694059:0.000000 –1:@0.391816:0.683715:0.411021:0.683715:0.411021:0.667288:0.391816:0.667288:0.000000:0.000000 10:@0.391931:0.700098:0.410714:0.700098:0.410714:0.683671:0.391931:0.683671:0.000000:0.000000 x :@0.386384:0.714399:0.415693:0.714399:0.415693:0.698262:0.386384:0.698262:0.000000:0.000000:0.000000:0.000000 1:@0.396199:0.713819:0.412229:0.713819:0.412229:0.699480:0.396199:0.699480:0.000000 2:@0.414249:0.714399:0.423640:0.714399:0.423640:0.697972:0.414249:0.697972:0.000000 .:@0.423799:0.708329:0.427002:0.708329:0.427002:0.692617:0.423799:0.692617:0.000000 4. Encuentra:@0.073088:0.760710:0.179510:0.760710:0.179510:0.744040:0.073088:0.744040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la ecuación cartesiana de la recta :@0.179264:0.760710:0.432916:0.760710:0.432916:0.744997:0.179264:0.744997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 L:@0.421264:0.760710:0.428885:0.760710:0.428885:0.745274:0.421264:0.745274:0.000000 tangente a la circunferencia ( , 3) en el punto :@0.103205:0.777351:0.444648:0.777351:0.444648:0.761639:0.103205:0.761639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 C:@0.304139:0.777351:0.314042:0.777351:0.314042:0.761916:0.304139:0.761916:0.000000 ( 2, 5 ). :@0.111224:0.793993:0.220427:0.793993:0.220427:0.778281:0.111224:0.778281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2 2:@0.115046:0.793439:0.184680:0.793439:0.184680:0.779723:0.115046:0.779723:0.000000:0.000000:0.000000:0.000000:0.000000 5. A continuación, se define una ecuación cuadrática. :@0.514225:0.133257:0.916675:0.133262:0.916675:0.117549:0.514225:0.117544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.525996:0.133262:0.529899:0.133262:0.529899:0.116592:0.525996:0.116592:0.000000 Muestra:@0.544352:0.149904:0.606301:0.149904:0.606301:0.133234:0.544352:0.133234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que esta es la ecuación de una parábola, :@0.606200:0.149904:0.907748:0.149904:0.907748:0.134191:0.606200:0.134191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 precisa:@0.544352:0.166546:0.598153:0.166546:0.598153:0.149876:0.544352:0.149876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su vértice, el eje con el foco y :@0.598046:0.166546:0.816991:0.166546:0.816991:0.150833:0.598046:0.150833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 traza:@0.816706:0.166546:0.854050:0.166546:0.854050:0.149876:0.816706:0.149876:0.000000:0.000000:0.000000:0.000000:0.000000 su :@0.853962:0.166546:0.878517:0.166546:0.878517:0.150833:0.853962:0.150833:0.000000:0.000000:0.000000:0.000000 gráfica.:@0.544352:0.183188:0.595922:0.183188:0.595922:0.167475:0.544352:0.167475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.552255:0.204318:0.560049:0.204318:0.560049:0.188181:0.552255:0.188181:0.000000 :@0.553795:0.204883:0.560203:0.204883:0.560203:0.189022:0.553795:0.189022:0.000000 ( , ) tal que 2 6 7 0. :@0.560203:0.204318:0.893104:0.204318:0.893104:0.187891:0.560203:0.187891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.564417:0.203738:0.580448:0.203738:0.580448:0.189399:0.564417:0.189399:0.000000 x y:@0.589762:0.204318:0.612931:0.204318:0.612931:0.188181:0.589762:0.188181:0.000000:0.000000:0.000000 [:@0.622245:0.203870:0.636881:0.203870:0.636881:0.190460:0.622245:0.190460:0.000000 R:@0.641095:0.203300:0.654385:0.203300:0.654385:0.190403:0.641095:0.190403:0.000000 2:@0.654384:0.197977:0.659859:0.197977:0.659859:0.188401:0.654384:0.188401:0.000000 x:@0.730638:0.204318:0.738432:0.204318:0.738432:0.188181:0.730638:0.188181:0.000000 2:@0.742647:0.203738:0.758677:0.203738:0.758677:0.189399:0.742647:0.189399:0.000000 y:@0.762891:0.204318:0.770704:0.204318:0.770704:0.188181:0.762891:0.188181:0.000000 2:@0.770703:0.197977:0.776177:0.197977:0.776177:0.188401:0.770703:0.188401:0.000000 1:@0.780392:0.203738:0.796422:0.203738:0.796422:0.189399:0.780392:0.189399:0.000000 y:@0.810028:0.204318:0.817841:0.204318:0.817841:0.188181:0.810028:0.188181:0.000000 2 5:@0.822055:0.203738:0.871936:0.203738:0.871936:0.189399:0.822055:0.189399:0.000000:0.000000:0.000000 6.:@0.514231:0.238670:0.526343:0.238670:0.526343:0.222958:0.514231:0.222958:0.000000:0.000000 Obtén:@0.526254:0.238670:0.592627:0.238670:0.592627:0.222001:0.526254:0.222001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la ecuación cartesiana de la recta tangente :@0.592537:0.238670:0.922690:0.238670:0.922690:0.222958:0.592537:0.222958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.909712:0.238670:0.918658:0.238670:0.918658:0.223235:0.909712:0.223235:0.000000 a la elipse:@0.544365:0.255312:0.614939:0.255312:0.614939:0.239600:0.544365:0.239600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 E:@0.544347:0.288672:0.552833:0.288672:0.552833:0.272535:0.544347:0.272535:0.000000 ( , ) | :@0.552838:0.288672:0.705852:0.288672:0.705852:0.272245:0.552838:0.272245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.557052:0.288092:0.573082:0.288092:0.573082:0.273752:0.557052:0.273752:0.000000 x:@0.585740:0.288672:0.593534:0.288672:0.593534:0.272535:0.585740:0.272535:0.000000 :@0.587279:0.289237:0.593687:0.289237:0.593687:0.273376:0.587279:0.273376:0.000000 5:@0.597902:0.288092:0.613932:0.288092:0.613932:0.273752:0.597902:0.273752:0.000000 x y:@0.623246:0.288672:0.646416:0.288672:0.646416:0.272535:0.623246:0.272535:0.000000:0.000000:0.000000 [:@0.655729:0.288224:0.670365:0.288224:0.670365:0.274814:0.655729:0.274814:0.000000 R:@0.674580:0.287654:0.687870:0.287654:0.687870:0.274757:0.674580:0.274757:0.000000 2:@0.687868:0.282333:0.693343:0.282333:0.693343:0.272756:0.687868:0.272756:0.000000 x:@0.716706:0.281828:0.724499:0.281828:0.724499:0.265691:0.716706:0.265691:0.000000 2:@0.715897:0.298212:0.725288:0.298212:0.725288:0.281785:0.715897:0.281785:0.000000 2:@0.735630:0.276192:0.741105:0.276192:0.741105:0.266615:0.735630:0.266615:0.000000 :@0.741206:0.288672:0.765664:0.288672:0.765664:0.272245:0.741206:0.272245:0.000000:0.000000:0.000000 1:@0.745419:0.288092:0.761450:0.288092:0.761450:0.273752:0.745419:0.273752:0.000000 y:@0.778424:0.281014:0.786237:0.281014:0.786237:0.264877:0.778424:0.264877:0.000000 3:@0.777635:0.297397:0.787026:0.297397:0.787026:0.280970:0.777635:0.280970:0.000000 2:@0.798176:0.275377:0.803651:0.275377:0.803651:0.265800:0.798176:0.265800:0.000000 1 ,:@0.804056:0.288672:0.849696:0.288672:0.849696:0.272245:0.804056:0.272245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.808271:0.288092:0.824301:0.288092:0.824301:0.273752:0.808271:0.273752:0.000000 :@0.514231:0.316791:0.518445:0.316791:0.518445:0.300364:0.514231:0.300364:0.000000 en el punto 3 , , y :@0.544347:0.316791:0.741850:0.316791:0.741850:0.300364:0.544347:0.300364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.645707:0.316211:0.661737:0.316211:0.661737:0.301872:0.645707:0.301872:0.000000 compara:@0.741850:0.316791:0.812668:0.316791:0.812668:0.299364:0.741850:0.299364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 su:@0.812668:0.316791:0.834279:0.316791:0.834279:0.300364:0.812668:0.300364:0.000000:0.000000:0.000000 :@0.514231:0.344911:0.518445:0.344911:0.518445:0.328484:0.514231:0.328484:0.000000 resultado con:@0.544347:0.344911:0.649361:0.344911:0.649361:0.328484:0.544347:0.328484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.544347:0.378685:0.553699:0.378685:0.553699:0.362548:0.544347:0.362548:0.000000 ( , ) | :@0.553704:0.378685:0.773931:0.378676:0.773931:0.362249:0.553704:0.362258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.557919:0.378105:0.573949:0.378105:0.573949:0.363766:0.557919:0.363766:0.000000 x:@0.584873:0.378685:0.592667:0.378685:0.592667:0.362548:0.584873:0.362548:0.000000 :@0.586894:0.379250:0.593302:0.379250:0.593302:0.363389:0.586894:0.363389:0.000000 5:@0.596746:0.378105:0.612777:0.378105:0.612777:0.363766:0.596746:0.363766:0.000000 x y:@0.621321:0.378685:0.644491:0.378685:0.644491:0.362548:0.621321:0.362548:0.000000:0.000000:0.000000 [:@0.653805:0.378237:0.668441:0.378237:0.668441:0.364827:0.653805:0.364827:0.000000 R:@0.672655:0.377668:0.685945:0.377668:0.685945:0.364770:0.672655:0.364770:0.000000 2:@0.685944:0.372345:0.691419:0.372345:0.691419:0.362768:0.685944:0.362768:0.000000 y:@0.703928:0.378685:0.711741:0.378685:0.711741:0.362548:0.703928:0.362548:0.000000 2:@0.714993:0.378105:0.731023:0.378105:0.731023:0.363766:0.714993:0.363766:0.000000 3:@0.737656:0.371514:0.747048:0.371514:0.747048:0.355087:0.737656:0.355087:0.000000 2:@0.737656:0.387897:0.747048:0.387897:0.747048:0.371470:0.737656:0.371470:0.000000 5:@0.753687:0.378096:0.769717:0.378096:0.769717:0.363757:0.753687:0.363757:0.000000 3 3:@0.774551:0.370670:0.801762:0.370670:0.801762:0.354244:0.774551:0.354244:0.000000:0.000000:0.000000:0.000000 2:@0.783461:0.387054:0.792852:0.387054:0.792852:0.370627:0.783461:0.370627:0.000000 ( 3 ) . :@0.802659:0.378685:0.883901:0.378685:0.883901:0.362258:0.802659:0.362258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.810434:0.378685:0.818228:0.378685:0.818228:0.362548:0.810434:0.362548:0.000000 1:@0.822442:0.378105:0.838472:0.378105:0.838472:0.363766:0.822442:0.363766:0.000000 7. En el siguiente gráfico se observa la parábola :@0.514231:0.430906:0.877220:0.430906:0.877220:0.415194:0.514231:0.415194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P:@0.544343:0.447548:0.553105:0.447548:0.553105:0.432113:0.544343:0.432113:0.000000 ( , 2) de ecuación 8 y la recta tangente de :@0.553032:0.447548:0.912079:0.447548:0.912079:0.431835:0.553032:0.431835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.682994:0.447548:0.690467:0.447548:0.690467:0.432113:0.682994:0.432113:0.000000 2:@0.690402:0.441484:0.695639:0.441484:0.695639:0.432324:0.690402:0.432324:0.000000 5:@0.699548:0.446993:0.714882:0.446993:0.714882:0.433278:0.699548:0.433278:0.000000 x:@0.727638:0.447548:0.735093:0.447548:0.735093:0.432113:0.727638:0.432113:0.000000 L:@0.877675:0.447548:0.885296:0.447548:0.885296:0.432113:0.877675:0.432113:0.000000 ecuación :@0.544338:0.464190:0.645265:0.464190:0.645265:0.448477:0.544338:0.448477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.614636:0.464190:0.622109:0.464190:0.622109:0.448755:0.614636:0.448755:0.000000 5 2 2:@0.625993:0.463635:0.687105:0.463635:0.687105:0.449920:0.625993:0.449920:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.660433:0.464190:0.667888:0.464190:0.667888:0.448755:0.660433:0.448755:0.000000 2. ¿Cuál es el punto de corte de :@0.667814:0.464190:0.922596:0.464190:0.922596:0.448477:0.667814:0.448477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la parábola con la tangente? :@0.544357:0.480832:0.753585:0.480832:0.753585:0.465119:0.544357:0.465119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Resuelve:@0.753316:0.480832:0.820880:0.480832:0.820880:0.464162:0.753316:0.464162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.820852:0.480832:0.824883:0.480832:0.824883:0.465119:0.820852:0.465119:0.000000 analíticamente.:@0.544357:0.497474:0.655137:0.497474:0.655137:0.481761:0.544357:0.481761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.639464:0.610898:0.645997:0.610898:0.645997:0.599470:0.639464:0.599470:0.000000 1:@0.670028:0.614259:0.676561:0.614259:0.676561:0.602832:0.670028:0.602832:0.000000 2:@0.614284:0.613855:0.625436:0.613855:0.625436:0.603880:0.614284:0.603880:0.000000 1:@0.625436:0.614259:0.631969:0.614259:0.631969:0.602832:0.625436:0.602832:0.000000 2:@0.594886:0.613855:0.606038:0.613855:0.606038:0.603880:0.594886:0.603880:0.000000 2:@0.606038:0.614259:0.612571:0.614259:0.612571:0.602832:0.606038:0.602832:0.000000 2:@0.571231:0.613855:0.582383:0.613855:0.582383:0.603880:0.571231:0.603880:0.000000 3:@0.582383:0.614259:0.588916:0.614259:0.588916:0.602832:0.582383:0.602832:0.000000 1:@0.633977:0.592100:0.640510:0.592100:0.640510:0.580673:0.633977:0.580673:0.000000 2:@0.624298:0.619927:0.635449:0.619927:0.635449:0.609952:0.624298:0.609952:0.000000 1:@0.635449:0.620331:0.641982:0.620331:0.641982:0.608903:0.635449:0.608903:0.000000 2:@0.624298:0.634219:0.635449:0.634219:0.635449:0.624244:0.624298:0.624244:0.000000 2:@0.635449:0.634622:0.641982:0.634622:0.641982:0.623195:0.635449:0.623195:0.000000 2:@0.624298:0.648511:0.635449:0.648511:0.635449:0.638536:0.624298:0.638536:0.000000 3:@0.635449:0.648914:0.641982:0.648914:0.641982:0.637487:0.635449:0.637487:0.000000 2:@0.624298:0.662803:0.635449:0.662803:0.635449:0.652828:0.624298:0.652828:0.000000 4:@0.635449:0.663206:0.641982:0.663206:0.641982:0.651779:0.635449:0.651779:0.000000 2:@0.633977:0.577788:0.640510:0.577788:0.640510:0.566361:0.633977:0.566361:0.000000 3:@0.633977:0.563496:0.640510:0.563496:0.640510:0.552069:0.633977:0.552069:0.000000 4:@0.633977:0.549204:0.640510:0.549204:0.640510:0.537777:0.633977:0.537777:0.000000 2:@0.693750:0.614249:0.700283:0.614249:0.700283:0.602821:0.693750:0.602821:0.000000 3:@0.717472:0.614249:0.724005:0.614249:0.724005:0.602821:0.717472:0.602821:0.000000 4:@0.741194:0.614249:0.747727:0.614249:0.747727:0.602821:0.741194:0.602821:0.000000 5:@0.764916:0.614249:0.771449:0.614249:0.771449:0.602821:0.764916:0.602821:0.000000 6:@0.788638:0.614249:0.795171:0.614249:0.795171:0.602821:0.788638:0.602821:0.000000 y:@0.635918:0.521468:0.641353:0.521468:0.641353:0.510242:0.635918:0.510242:0.000000 x:@0.868880:0.613139:0.874302:0.613139:0.874302:0.601914:0.868880:0.601914:0.000000 a. (2, 4):@0.544352:0.717021:0.609053:0.717021:0.609053:0.701308:0.544352:0.701308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. (4, 22):@0.544352:0.744384:0.617962:0.744384:0.617962:0.728672:0.544352:0.728672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. (4, 2):@0.544352:0.771746:0.609053:0.771746:0.609053:0.756033:0.544352:0.756033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. (2, 4):@0.544352:0.799109:0.624273:0.799109:0.624273:0.783397:0.544352:0.783397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.595245:0.798555:0.610578:0.798555:0.610578:0.784839:0.595245:0.784839:0.000000 3:@0.691739:0.310457:0.701130:0.310457:0.701130:0.294030:0.691739:0.294030:0.000000 2:@0.691739:0.326841:0.701130:0.326841:0.701130:0.310414:0.691739:0.310414:0.000000 Compruebo mis aprendizajes :@0.161804:0.097463:0.577714:0.097463:0.577714:0.069346:0.161804:0.069346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Expreso mis emociones:@0.081835:0.872747:0.243514:0.872747:0.243514:0.857593:0.081835:0.857593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Es importante saber cuándo hablar, cuándo escuchar y cuándo callar. ¿Alguna vez te has arrepentido de :@0.096806:0.904933:0.907340:0.904933:0.907340:0.888506:0.096806:0.888506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 haber callado o hablado cuando sabías que no debías hacerlo?:@0.096806:0.922331:0.566801:0.922331:0.566801:0.905904:0.096806:0.905904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@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