179:@0.942817:0.963886:0.974741:0.963886:0.974741:0.945448:0.942817:0.945448:0.000000:0.000000:0.000000
8. :@0.096359:0.068331:0.115100:0.068331:0.115100:0.051195:0.096359:0.051195:0.000000:0.000000:0.000000
Determina:@0.124848:0.068331:0.209615:0.068331:0.209615:0.051430:0.124848:0.051430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 si los siguientes puntos pertenecen a :@0.209615:0.068331:0.489785:0.068331:0.489785:0.052661:0.209615:0.052661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función cuadrática dada. Para ello, :@0.124848:0.084927:0.400820:0.084927:0.400820:0.069257:0.124848:0.069257:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reemplaza:@0.402147:0.084927:0.485716:0.084927:0.485716:0.068026:0.402147:0.068026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.485716:0.084927:0.489752:0.084927:0.489752:0.069257:0.485716:0.069257:0.000000
las coordenadas del punto en la función.:@0.124848:0.101523:0.422359:0.101523:0.422359:0.085854:0.124848:0.085854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.128769:0.144087:0.128769:0.144087:0.111633:0.124848:0.111633:0.000000:0.000000:0.000000
(:@0.359293:0.132945:0.365429:0.132945:0.365429:0.112545:0.359293:0.112545:0.000000
):@0.399299:0.132945:0.405436:0.132945:0.405436:0.112545:0.399299:0.112545:0.000000
=:@0.187529:0.131074:0.197646:0.131074:0.197646:0.115501:0.187529:0.115501:0.000000
−:@0.221030:0.131074:0.231147:0.131074:0.231147:0.115501:0.221030:0.115501:0.000000
−:@0.255534:0.131074:0.265650:0.131074:0.265650:0.115501:0.255534:0.115501:0.000000
−:@0.380233:0.131074:0.390350:0.131074:0.390350:0.115501:0.380233:0.115501:0.000000
fx:@0.155961:0.130396:0.177816:0.130396:0.177816:0.114035:0.155961:0.114035:0.000000:0.000000
x:@0.202398:0.130396:0.209861:0.130396:0.209861:0.114035:0.202398:0.114035:0.000000
x:@0.244174:0.130396:0.251637:0.130396:0.251637:0.114035:0.244174:0.114035:0.000000
P:@0.348622:0.130396:0.357393:0.130396:0.357393:0.114035:0.348622:0.114035:0.000000
():@0.163184:0.130396:0.184763:0.130396:0.184763:0.114726:0.163184:0.114726:0.000000:0.000000
2:@0.233910:0.130396:0.242902:0.130396:0.242902:0.114726:0.233910:0.114726:0.000000
3:@0.268406:0.130396:0.277399:0.130396:0.277399:0.114726:0.268406:0.114726:0.000000
2, 3:@0.366146:0.130396:0.399169:0.130396:0.399169:0.114726:0.366146:0.114726:0.000000:0.000000:0.000000:0.000000
2:@0.211507:0.122734:0.216718:0.122734:0.216718:0.113652:0.211507:0.113652:0.000000
b) :@0.124851:0.156012:0.145232:0.156012:0.145232:0.138876:0.124851:0.138876:0.000000:0.000000:0.000000
=−:@0.187529:0.157444:0.211411:0.157444:0.211411:0.141871:0.187529:0.141871:0.000000:0.000000
−:@0.240141:0.157444:0.250258:0.157444:0.250258:0.141871:0.240141:0.141871:0.000000
− −:@0.359092:0.157444:0.392811:0.157444:0.392811:0.141871:0.359092:0.141871:0.000000:0.000000:0.000000
fx:@0.155961:0.156767:0.177816:0.156767:0.177816:0.140405:0.155961:0.140405:0.000000:0.000000
x:@0.221508:0.156767:0.228971:0.156767:0.228971:0.140405:0.221508:0.140405:0.000000
x:@0.262859:0.156767:0.270323:0.156767:0.270323:0.140405:0.262859:0.140405:0.000000
P:@0.343480:0.156767:0.352252:0.156767:0.352252:0.140405:0.343480:0.140405:0.000000
():@0.163184:0.156767:0.184763:0.156767:0.184763:0.141097:0.163184:0.141097:0.000000:0.000000
2:@0.211244:0.156767:0.220236:0.156767:0.220236:0.141097:0.211244:0.141097:0.000000
3:@0.253019:0.156767:0.262012:0.156767:0.262012:0.141097:0.253019:0.141097:0.000000
(3,9):@0.353007:0.156767:0.407419:0.156767:0.407419:0.141097:0.353007:0.141097:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.230614:0.149104:0.235826:0.149104:0.235826:0.140023:0.230614:0.140023:0.000000
c) :@0.124851:0.183258:0.142671:0.183258:0.142671:0.166122:0.124851:0.166122:0.000000:0.000000:0.000000
=:@0.187529:0.183936:0.197646:0.183936:0.197646:0.168363:0.187529:0.168363:0.000000
−:@0.221030:0.183936:0.231147:0.183936:0.231147:0.168363:0.221030:0.168363:0.000000
+:@0.255115:0.183936:0.265231:0.183936:0.265231:0.168363:0.255115:0.168363:0.000000
−:@0.378985:0.183936:0.389102:0.183936:0.389102:0.168363:0.378985:0.168363:0.000000
fx:@0.155961:0.183258:0.177816:0.183258:0.177816:0.166897:0.155961:0.166897:0.000000:0.000000
x:@0.202398:0.183258:0.209861:0.183258:0.209861:0.166897:0.202398:0.166897:0.000000
x:@0.243750:0.183258:0.251213:0.183258:0.251213:0.166897:0.243750:0.166897:0.000000
P:@0.348198:0.183258:0.356969:0.183258:0.356969:0.166897:0.348198:0.166897:0.000000
():@0.163184:0.183258:0.184763:0.183258:0.184763:0.167588:0.163184:0.167588:0.000000:0.000000
5:@0.233910:0.183258:0.242902:0.183258:0.242902:0.167588:0.233910:0.167588:0.000000
3:@0.267982:0.183258:0.276975:0.183258:0.276975:0.167588:0.267982:0.167588:0.000000
(4,1):@0.357725:0.183258:0.400613:0.183258:0.400613:0.167588:0.357725:0.167588:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.211507:0.175596:0.216718:0.175596:0.216718:0.166514:0.211507:0.166514:0.000000
d) :@0.124851:0.210502:0.145343:0.210502:0.145343:0.193367:0.124851:0.193367:0.000000:0.000000:0.000000
fx:@0.155961:0.210495:0.180396:0.210495:0.180396:0.194134:0.155961:0.194134:0.000000:0.000000
x:@0.205844:0.210495:0.213307:0.210495:0.213307:0.194134:0.205844:0.194134:0.000000
x:@0.245427:0.210495:0.252890:0.210495:0.252890:0.194134:0.245427:0.194134:0.000000
P:@0.345249:0.210495:0.354021:0.210495:0.354021:0.194134:0.345249:0.194134:0.000000
3:@0.235568:0.210495:0.244561:0.210495:0.244561:0.194825:0.235568:0.194825:0.000000
15:@0.266563:0.210495:0.284346:0.210495:0.284346:0.194825:0.266563:0.194825:0.000000:0.000000
....................:@0.284143:0.210495:0.345120:0.210495:0.345120:0.194825:0.284143:0.194825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3,3:@0.363401:0.210495:0.395151:0.210495:0.395151:0.194825:0.363401:0.194825:0.000000:0.000000:0.000000:0.000000
2:@0.214961:0.202834:0.220173:0.202834:0.220173:0.193752:0.214961:0.193752:0.000000
():@0.165019:0.213627:0.188219:0.213627:0.188219:0.193693:0.165019:0.193693:0.000000:0.000000
(:@0.356629:0.213627:0.362766:0.213627:0.362766:0.193693:0.356629:0.193693:0.000000
):@0.394959:0.213627:0.401095:0.213627:0.401095:0.193693:0.394959:0.193693:0.000000
=:@0.191298:0.211173:0.201415:0.211173:0.201415:0.195600:0.191298:0.195600:0.000000
+:@0.223657:0.211173:0.233774:0.211173:0.233774:0.195600:0.223657:0.195600:0.000000
+:@0.255795:0.211173:0.265912:0.211173:0.265912:0.195600:0.255795:0.195600:0.000000
e) :@0.124848:0.237741:0.144087:0.237741:0.144087:0.220605:0.124848:0.220605:0.000000:0.000000:0.000000
fx:@0.155961:0.237057:0.180396:0.237057:0.180396:0.220695:0.155961:0.220695:0.000000:0.000000
x:@0.215740:0.237057:0.223203:0.237057:0.223203:0.220695:0.215740:0.220695:0.000000
x:@0.255746:0.237057:0.263209:0.237057:0.263209:0.220695:0.255746:0.220695:0.000000
P:@0.343425:0.237057:0.352197:0.237057:0.352197:0.220695:0.343425:0.220695:0.000000
–:@0.204739:0.237057:0.213952:0.237057:0.213952:0.221387:0.204739:0.221387:0.000000
2:@0.245464:0.237057:0.254456:0.237057:0.254456:0.221387:0.245464:0.221387:0.000000
10:@0.276883:0.237057:0.294665:0.237057:0.294665:0.221387:0.276883:0.221387:0.000000:0.000000
................:@0.294481:0.237057:0.343296:0.237057:0.343296:0.221387:0.294481:0.221387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–4,–1:@0.361595:0.237057:0.404089:0.237057:0.404089:0.221387:0.361595:0.221387:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.224855:0.229394:0.230067:0.229394:0.230067:0.220313:0.224855:0.220313:0.000000
():@0.165019:0.240188:0.188219:0.240188:0.188219:0.220255:0.165019:0.220255:0.000000:0.000000
(:@0.354791:0.240188:0.360928:0.240188:0.360928:0.220255:0.354791:0.220255:0.000000
):@0.401542:0.240188:0.407679:0.240188:0.407679:0.220255:0.401542:0.220255:0.000000
=:@0.191298:0.237734:0.201415:0.237734:0.201415:0.222161:0.191298:0.222161:0.000000
+:@0.233553:0.237734:0.243669:0.237734:0.243669:0.222161:0.233553:0.222161:0.000000
+:@0.266114:0.237734:0.276231:0.237734:0.276231:0.222161:0.266114:0.222161:0.000000
f) :@0.124867:0.264994:0.141986:0.264994:0.141986:0.247858:0.124867:0.247858:0.000000:0.000000:0.000000
fx:@0.155961:0.263918:0.180396:0.263918:0.180396:0.247556:0.155961:0.247556:0.000000:0.000000
x:@0.223811:0.263918:0.231274:0.263918:0.231274:0.247556:0.223811:0.247556:0.000000
x:@0.263394:0.263918:0.270857:0.263918:0.270857:0.247556:0.263394:0.247556:0.000000
P:@0.344162:0.263918:0.352934:0.263918:0.352934:0.247556:0.344162:0.247556:0.000000
–3:@0.204757:0.263918:0.222964:0.263918:0.222964:0.248248:0.204757:0.248248:0.000000:0.000000
5–6:@0.253553:0.263918:0.295421:0.263918:0.295421:0.248248:0.253553:0.248248:0.000000:0.000000:0.000000
................:@0.295218:0.263918:0.344033:0.263918:0.344033:0.248248:0.295218:0.248248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,–4:@0.360821:0.263918:0.390655:0.263918:0.390655:0.248248:0.360821:0.248248:0.000000:0.000000:0.000000:0.000000
2:@0.232918:0.256256:0.238129:0.256256:0.238129:0.247175:0.232918:0.247175:0.000000
():@0.165019:0.267051:0.188219:0.267051:0.188219:0.247117:0.165019:0.247117:0.000000:0.000000
(:@0.355524:0.267051:0.361660:0.267051:0.361660:0.247117:0.355524:0.247117:0.000000
):@0.391550:0.267051:0.397686:0.267051:0.397686:0.247117:0.391550:0.247117:0.000000
=:@0.191298:0.264595:0.201415:0.264595:0.201415:0.249022:0.191298:0.249022:0.000000
+:@0.241606:0.264595:0.251722:0.264595:0.251722:0.249022:0.241606:0.249022:0.000000
g) :@0.124848:0.292339:0.145137:0.292339:0.145137:0.275203:0.124848:0.275203:0.000000:0.000000:0.000000
fx:@0.155961:0.292488:0.180396:0.292488:0.180396:0.276127:0.155961:0.276127:0.000000:0.000000
x:@0.212291:0.292488:0.219754:0.292488:0.219754:0.276127:0.212291:0.276127:0.000000
P:@0.345578:0.292488:0.354349:0.292488:0.354349:0.276127:0.345578:0.276127:0.000000
–3 –11:@0.223443:0.292488:0.287718:0.292488:0.287718:0.276819:0.223443:0.276819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
........... .......:@0.287516:0.292488:0.345415:0.292488:0.345415:0.276819:0.287516:0.276819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.320925:0.292488:0.324131:0.292488:0.324131:0.276819:0.320925:0.276819:0.000000
3,–11:@0.363382:0.292488:0.404310:0.292488:0.404310:0.276819:0.363382:0.276819:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.250089:0.282940:0.255301:0.282940:0.255301:0.273859:0.250089:0.273859:0.000000
() (:@0.165019:0.295620:0.210516:0.295620:0.210516:0.275687:0.165019:0.275687:0.000000:0.000000:0.000000:0.000000
):@0.243705:0.295620:0.249841:0.295620:0.249841:0.275687:0.243705:0.275687:0.000000
(:@0.356937:0.295620:0.363074:0.295620:0.363074:0.275687:0.356937:0.275687:0.000000
):@0.401753:0.295620:0.407890:0.295620:0.407890:0.275687:0.401753:0.275687:0.000000
=:@0.191298:0.293166:0.201415:0.293166:0.201415:0.277593:0.191298:0.277593:0.000000
Trabajo colaborativo:@0.109774:0.342438:0.273723:0.342438:0.273723:0.325538:0.109774:0.325538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad indagatoria:@0.528338:0.772645:0.700745:0.772645:0.700745:0.755745:0.528338:0.755745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen :@0.106953:0.363655:0.180443:0.363655:0.180443:0.346755:0.106953:0.346755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo y:@0.180443:0.363655:0.267974:0.363655:0.267974:0.347986:0.180443:0.347986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 resuelvan:@0.267974:0.363655:0.349256:0.363655:0.349256:0.346755:0.267974:0.346755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.349256:0.363655:0.352463:0.363655:0.352463:0.347986:0.349256:0.347986:0.000000
9. :@0.106953:0.387374:0.125694:0.387374:0.125694:0.370239:0.106953:0.370239:0.000000:0.000000:0.000000
Grafiquen:@0.135442:0.387374:0.215068:0.387374:0.215068:0.370474:0.135442:0.370474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en sus cuadernos cada una de las :@0.215068:0.387374:0.481161:0.387374:0.481161:0.371705:0.215068:0.371705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones cuadráticas; :@0.135442:0.403971:0.300840:0.403971:0.300840:0.388301:0.135442:0.388301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinen:@0.299715:0.403971:0.393289:0.403971:0.393289:0.387070:0.299715:0.387070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el dominio, :@0.393289:0.403971:0.481152:0.403971:0.481152:0.388301:0.393289:0.388301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el recorrido, los intervalos donde la función es :@0.135442:0.420567:0.481143:0.420567:0.481143:0.404897:0.135442:0.404897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente o decreciente, el punto máximo o :@0.135442:0.437164:0.481161:0.437164:0.481161:0.421494:0.135442:0.421494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mínimo, el vértice de la parábola, y el eje de :@0.135442:0.453760:0.481161:0.453760:0.481161:0.438090:0.135442:0.438090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simetría. :@0.135442:0.470356:0.200914:0.470356:0.200914:0.454687:0.135442:0.454687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Empleen:@0.206149:0.470356:0.276340:0.470356:0.276340:0.453456:0.206149:0.453456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  cualquier programa para :@0.276340:0.470356:0.481145:0.470356:0.481145:0.454687:0.276340:0.454687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
graficar comprobar:@0.135442:0.486953:0.300757:0.486953:0.300757:0.470052:0.135442:0.470052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.196180:0.486953:0.212359:0.486953:0.212359:0.471283:0.196180:0.471283:0.000000:0.000000:0.000000
 sus resultados.:@0.300757:0.486953:0.410860:0.486953:0.410860:0.471283:0.300757:0.471283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.135442:0.511045:0.154681:0.511045:0.154681:0.493909:0.135442:0.493909:0.000000:0.000000:0.000000
b) :@0.135442:0.535774:0.155823:0.535774:0.155823:0.518638:0.135442:0.518638:0.000000:0.000000:0.000000
c) :@0.135442:0.557985:0.153262:0.557985:0.153262:0.540849:0.135442:0.540849:0.000000:0.000000:0.000000
d) :@0.135442:0.581704:0.155934:0.581704:0.155934:0.564568:0.135442:0.564568:0.000000:0.000000:0.000000
e):@0.135442:0.602657:0.150958:0.602657:0.150958:0.585521:0.135442:0.585521:0.000000:0.000000
f):@0.135442:0.623610:0.148839:0.623610:0.148839:0.606474:0.135442:0.606474:0.000000:0.000000
g):@0.135442:0.645821:0.152009:0.645821:0.152009:0.628686:0.135442:0.628686:0.000000:0.000000
h):@0.135442:0.668033:0.152027:0.668033:0.152027:0.650897:0.135442:0.650897:0.000000:0.000000
i):@0.135442:0.690244:0.146278:0.690244:0.146278:0.673109:0.135442:0.673109:0.000000:0.000000
=:@0.197639:0.513371:0.207756:0.513371:0.207756:0.497798:0.197639:0.497798:0.000000
+:@0.231140:0.513371:0.241257:0.513371:0.241257:0.497798:0.231140:0.497798:0.000000
=:@0.197639:0.535970:0.207756:0.535970:0.207756:0.520397:0.197639:0.520397:0.000000
−:@0.239949:0.535970:0.250066:0.535970:0.250066:0.520397:0.239949:0.520397:0.000000
+:@0.274445:0.535970:0.284562:0.535970:0.284562:0.520397:0.274445:0.520397:0.000000
=:@0.197639:0.558569:0.207756:0.558569:0.207756:0.542996:0.197639:0.542996:0.000000
−:@0.231140:0.558569:0.241257:0.558569:0.241257:0.542996:0.231140:0.542996:0.000000
−:@0.267111:0.558569:0.277228:0.558569:0.277228:0.542996:0.267111:0.542996:0.000000
=−:@0.196073:0.579314:0.225244:0.579314:0.225244:0.563741:0.196073:0.563741:0.000000:0.000000
−:@0.246693:0.579314:0.256810:0.579314:0.256810:0.563741:0.246693:0.563741:0.000000
−:@0.291823:0.579314:0.301939:0.579314:0.301939:0.563741:0.291823:0.563741:0.000000
=−:@0.196847:0.601913:0.220729:0.601913:0.220729:0.586340:0.196847:0.586340:0.000000:0.000000
+:@0.249826:0.601913:0.259943:0.601913:0.259943:0.586340:0.249826:0.586340:0.000000
=−:@0.197639:0.624511:0.221521:0.624511:0.221521:0.608939:0.197639:0.608939:0.000000:0.000000
+:@0.248573:0.624511:0.258690:0.624511:0.258690:0.608939:0.248573:0.608939:0.000000
+:@0.281503:0.624511:0.291620:0.624511:0.291620:0.608939:0.281503:0.608939:0.000000
−:@0.322855:0.624511:0.332971:0.624511:0.332971:0.608939:0.322855:0.608939:0.000000
=:@0.204549:0.647110:0.214666:0.647110:0.214666:0.631537:0.204549:0.631537:0.000000
−:@0.238051:0.647110:0.248167:0.647110:0.248167:0.631537:0.238051:0.631537:0.000000
=−:@0.199519:0.669709:0.223401:0.669709:0.223401:0.654136:0.199519:0.654136:0.000000:0.000000
−:@0.251706:0.669709:0.261822:0.669709:0.261822:0.654136:0.251706:0.654136:0.000000
−:@0.286939:0.669709:0.297056:0.669709:0.297056:0.654136:0.286939:0.654136:0.000000
=:@0.197620:0.692308:0.207737:0.692308:0.207737:0.676735:0.197620:0.676735:0.000000
−:@0.229132:0.692308:0.239249:0.692308:0.239249:0.676735:0.229132:0.676735:0.000000
fx:@0.166054:0.512735:0.187909:0.512735:0.187909:0.496374:0.166054:0.496374:0.000000:0.000000
x:@0.212492:0.512735:0.219955:0.512735:0.219955:0.496374:0.212492:0.496374:0.000000
fx:@0.166054:0.535334:0.187909:0.535334:0.187909:0.518972:0.166054:0.518972:0.000000:0.000000
x:@0.221282:0.535334:0.228745:0.535334:0.228745:0.518972:0.221282:0.518972:0.000000
x:@0.263057:0.535334:0.270520:0.535334:0.270520:0.518972:0.263057:0.518972:0.000000
fx:@0.166054:0.557932:0.187909:0.557932:0.187909:0.541571:0.166054:0.541571:0.000000:0.000000
x:@0.212492:0.557932:0.219955:0.557932:0.219955:0.541571:0.212492:0.541571:0.000000
x:@0.255741:0.557932:0.263204:0.557932:0.263204:0.541571:0.255741:0.541571:0.000000
tx:@0.165630:0.578678:0.186343:0.578678:0.186343:0.562317:0.165630:0.562317:0.000000:0.000000
x:@0.235305:0.578678:0.242768:0.578678:0.242768:0.562317:0.235305:0.562317:0.000000
x:@0.280434:0.578678:0.287897:0.578678:0.287897:0.562317:0.280434:0.562317:0.000000
rx:@0.166404:0.601277:0.187117:0.601277:0.187117:0.584915:0.166404:0.584915:0.000000:0.000000
x:@0.231159:0.601277:0.238622:0.601277:0.238622:0.584915:0.231159:0.584915:0.000000
fx:@0.166036:0.623875:0.187891:0.623875:0.187891:0.607514:0.166036:0.607514:0.000000:0.000000
x:@0.237216:0.623807:0.244680:0.623807:0.244680:0.607446:0.237216:0.607446:0.000000
x:@0.304219:0.623807:0.311683:0.623807:0.311683:0.607446:0.304219:0.607446:0.000000
mx:@0.166071:0.646400:0.194836:0.646400:0.194836:0.630039:0.166071:0.630039:0.000000:0.000000
x:@0.219419:0.646400:0.226882:0.646400:0.226882:0.630039:0.219419:0.630039:0.000000
nx:@0.166439:0.668999:0.189824:0.668999:0.189824:0.652637:0.166439:0.652637:0.000000:0.000000
x:@0.233074:0.668999:0.240537:0.668999:0.240537:0.652637:0.233074:0.652637:0.000000
x:@0.275586:0.668999:0.283049:0.668999:0.283049:0.652637:0.275586:0.652637:0.000000
fx:@0.166071:0.691597:0.187926:0.691597:0.187926:0.675236:0.166071:0.675236:0.000000:0.000000
x:@0.217797:0.691597:0.225260:0.691597:0.225260:0.675236:0.217797:0.675236:0.000000
():@0.173294:0.512702:0.194873:0.512702:0.194873:0.497032:0.173294:0.497032:0.000000:0.000000
3:@0.244020:0.512702:0.253012:0.512702:0.253012:0.497032:0.244020:0.497032:0.000000
() 2:@0.173294:0.535301:0.220027:0.535301:0.220027:0.519631:0.173294:0.519631:0.000000:0.000000:0.000000:0.000000
2:@0.252810:0.535301:0.261802:0.535301:0.261802:0.519631:0.252810:0.519631:0.000000
3:@0.287306:0.535301:0.296299:0.535301:0.296299:0.519631:0.287306:0.519631:0.000000
():@0.173294:0.557900:0.194873:0.557900:0.194873:0.542230:0.173294:0.542230:0.000000:0.000000
4:@0.244757:0.557900:0.253749:0.557900:0.253749:0.542230:0.244757:0.542230:0.000000
12:@0.278829:0.557900:0.296631:0.557900:0.296631:0.542230:0.278829:0.542230:0.000000:0.000000
() (2:@0.171728:0.578645:0.234069:0.578645:0.234069:0.562975:0.171728:0.562975:0.000000:0.000000:0.000000:0.000000:0.000000
3)(:@0.259573:0.578645:0.278166:0.578645:0.278166:0.562975:0.259573:0.562975:0.000000:0.000000:0.000000
6):@0.305052:0.578645:0.319831:0.578645:0.319831:0.562975:0.305052:0.562975:0.000000:0.000000
():@0.172502:0.601244:0.194081:0.601244:0.194081:0.585574:0.172502:0.585574:0.000000:0.000000
9:@0.220561:0.601244:0.229554:0.601244:0.229554:0.585574:0.220561:0.585574:0.000000
4:@0.263442:0.601244:0.272435:0.601244:0.272435:0.585574:0.263442:0.585574:0.000000
():@0.173294:0.623843:0.194873:0.623843:0.194873:0.608173:0.173294:0.608173:0.000000:0.000000
(3:@0.221667:0.623843:0.236372:0.623843:0.236372:0.608173:0.221667:0.608173:0.000000:0.000000
1):@0.260310:0.623843:0.271993:0.623843:0.271993:0.608173:0.260310:0.608173:0.000000:0.000000
5:@0.294384:0.623807:0.303377:0.623807:0.303377:0.608138:0.294384:0.608138:0.000000
2:@0.335736:0.623807:0.344728:0.623807:0.344728:0.608138:0.335736:0.608138:0.000000
():@0.180205:0.646400:0.201783:0.646400:0.201783:0.630730:0.180205:0.630730:0.000000:0.000000
2:@0.250930:0.646400:0.259923:0.646400:0.259923:0.630730:0.250930:0.630730:0.000000
():@0.175174:0.668999:0.196753:0.668999:0.196753:0.653329:0.175174:0.653329:0.000000:0.000000
3:@0.223233:0.668999:0.232226:0.668999:0.232226:0.653329:0.223233:0.653329:0.000000
6:@0.264953:0.668999:0.273946:0.668999:0.273946:0.653329:0.264953:0.653329:0.000000
5:@0.299818:0.668999:0.308811:0.668999:0.308811:0.653329:0.299818:0.653329:0.000000
() (:@0.173294:0.691597:0.215512:0.691597:0.215512:0.675928:0.173294:0.675928:0.000000:0.000000:0.000000:0.000000
6):@0.242398:0.691597:0.257177:0.691597:0.257177:0.675928:0.242398:0.675928:0.000000:0.000000
2:@0.221615:0.505031:0.226827:0.505031:0.226827:0.495950:0.221615:0.495950:0.000000
2:@0.230415:0.527626:0.235627:0.527626:0.235627:0.518545:0.230415:0.518545:0.000000
2:@0.221615:0.550221:0.226827:0.550221:0.226827:0.541140:0.221615:0.541140:0.000000
2:@0.240304:0.593560:0.245516:0.593560:0.245516:0.584479:0.240304:0.584479:0.000000
2:@0.271978:0.616145:0.277189:0.616145:0.277189:0.607064:0.271978:0.607064:0.000000
2:@0.313340:0.616145:0.318552:0.616145:0.318552:0.607064:0.313340:0.607064:0.000000
2:@0.228525:0.638738:0.233737:0.638738:0.233737:0.629656:0.228525:0.629656:0.000000
2:@0.242185:0.661333:0.247396:0.661333:0.247396:0.652251:0.242185:0.652251:0.000000
2:@0.257158:0.683928:0.262369:0.683928:0.262369:0.674846:0.257158:0.674846:0.000000
13. :@0.524709:0.793870:0.553678:0.793870:0.553678:0.776734:0.524709:0.776734:0.000000:0.000000:0.000000:0.000000
Encuentra:@0.553198:0.793870:0.634170:0.793870:0.634170:0.776969:0.553198:0.776969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 una función cuadrática para la :@0.634170:0.793870:0.898883:0.793870:0.898883:0.778200:0.634170:0.778200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente situación. Luego, :@0.553198:0.810466:0.751918:0.810466:0.751918:0.794797:0.553198:0.794797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grafica:@0.751918:0.810466:0.806096:0.810466:0.806096:0.793566:0.751918:0.793566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.806096:0.810466:0.809302:0.810466:0.809302:0.794797:0.806096:0.794797:0.000000
 :@0.524709:0.834185:0.528432:0.834185:0.528432:0.817050:0.524709:0.817050:0.000000
Amelia  tiene una piscina rectangular de :@0.553198:0.834185:0.898938:0.834185:0.898938:0.818516:0.553198:0.818516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.894865:0.834185:0.898901:0.834185:0.898901:0.818516:0.894865:0.818516:0.000000
10   de largo por 6   de ancho, y quiere hacer :@0.553198:0.850782:0.898886:0.850782:0.898886:0.835112:0.553198:0.835112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.574814:0.850782:0.589446:0.850782:0.589446:0.834420:0.574814:0.834420:0.000000
m:@0.698371:0.850782:0.713003:0.850782:0.713003:0.834420:0.698371:0.834420:0.000000
un camino alrededor de la piscina de anchura :@0.553180:0.867378:0.898919:0.867378:0.898919:0.851708:0.553180:0.851708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante. ¿Cuál es la expresión cuadrática que :@0.553180:0.883974:0.898862:0.883974:0.898862:0.868305:0.553180:0.868305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determina el área que ocupa la cubierta de :@0.553180:0.900571:0.898860:0.900571:0.898860:0.884901:0.553180:0.884901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piscina y su caminería? :@0.553180:0.917167:0.724445:0.917167:0.724445:0.901497:0.553180:0.901497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11. :@0.524691:0.085758:0.553659:0.085758:0.553659:0.068622:0.524691:0.068622:0.000000:0.000000:0.000000:0.000000
Determinen:@0.553180:0.085758:0.648635:0.085758:0.648635:0.068857:0.553180:0.068857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el vértice y el eje de simetría de :@0.648635:0.085758:0.898864:0.085758:0.898864:0.070088:0.648635:0.070088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las funciones cuadráticas.:@0.553180:0.102354:0.738652:0.102354:0.738652:0.086685:0.553180:0.086685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.553180:0.129600:0.572419:0.129600:0.572419:0.112464:0.553180:0.112464:0.000000:0.000000:0.000000
=:@0.597661:0.130569:0.607778:0.130569:0.607778:0.114997:0.597661:0.114997:0.000000
−:@0.629172:0.130569:0.639289:0.130569:0.639289:0.114997:0.629172:0.114997:0.000000
+:@0.665972:0.130569:0.676089:0.130569:0.676089:0.114997:0.665972:0.114997:0.000000
y:@0.585775:0.129892:0.593257:0.129892:0.593257:0.113531:0.585775:0.113531:0.000000
x:@0.617821:0.129892:0.625284:0.129892:0.625284:0.113531:0.617821:0.113531:0.000000
(:@0.610634:0.129892:0.615517:0.129892:0.615517:0.114222:0.610634:0.114222:0.000000
2):@0.642053:0.129892:0.656465:0.129892:0.656465:0.114222:0.642053:0.114222:0.000000:0.000000
3:@0.678855:0.129892:0.687848:0.129892:0.687848:0.114222:0.678855:0.114222:0.000000
2:@0.656450:0.122231:0.661662:0.122231:0.661662:0.113149:0.656450:0.113149:0.000000
b) :@0.553200:0.156852:0.573581:0.156852:0.573581:0.139716:0.553200:0.139716:0.000000:0.000000:0.000000
=:@0.597661:0.156481:0.607778:0.156481:0.607778:0.140908:0.597661:0.140908:0.000000
−:@0.631162:0.156481:0.641279:0.156481:0.641279:0.140908:0.631162:0.140908:0.000000
+:@0.665254:0.156481:0.675370:0.156481:0.675370:0.140908:0.665254:0.140908:0.000000
y:@0.585794:0.155803:0.593275:0.155803:0.593275:0.139442:0.585794:0.139442:0.000000
x:@0.612551:0.155803:0.620014:0.155803:0.620014:0.139442:0.612551:0.139442:0.000000
x:@0.653902:0.155803:0.661365:0.155803:0.661365:0.139442:0.653902:0.139442:0.000000
5:@0.644043:0.155803:0.653036:0.155803:0.653036:0.140134:0.644043:0.140134:0.000000
2:@0.678116:0.155803:0.687109:0.155803:0.687109:0.140134:0.678116:0.140134:0.000000
2:@0.621637:0.148142:0.626849:0.148142:0.626849:0.139061:0.621637:0.139061:0.000000
c) :@0.553200:0.184097:0.571020:0.184097:0.571020:0.166961:0.553200:0.166961:0.000000:0.000000:0.000000
=:@0.597661:0.184485:0.607778:0.184485:0.607778:0.168912:0.597661:0.168912:0.000000
+:@0.629172:0.184485:0.639289:0.184485:0.639289:0.168912:0.629172:0.168912:0.000000
−:@0.665567:0.184485:0.675684:0.184485:0.675684:0.168912:0.665567:0.168912:0.000000
y:@0.585775:0.183807:0.593257:0.183807:0.593257:0.167446:0.585775:0.167446:0.000000
x:@0.617821:0.183807:0.625284:0.183807:0.625284:0.167446:0.617821:0.167446:0.000000
(:@0.610634:0.183807:0.615517:0.183807:0.615517:0.168138:0.610634:0.168138:0.000000
3):@0.642053:0.183807:0.656046:0.183807:0.656046:0.168138:0.642053:0.168138:0.000000:0.000000
3:@0.678436:0.183807:0.687429:0.183807:0.687429:0.168138:0.678436:0.168138:0.000000
2:@0.656031:0.176146:0.661243:0.176146:0.661243:0.167065:0.656031:0.167065:0.000000
d) :@0.553200:0.211341:0.573692:0.211341:0.573692:0.194205:0.553200:0.194205:0.000000:0.000000:0.000000
=:@0.597661:0.212045:0.607778:0.212045:0.607778:0.196472:0.597661:0.196472:0.000000
+:@0.631162:0.212045:0.641279:0.212045:0.641279:0.196472:0.631162:0.196472:0.000000
−:@0.665254:0.212045:0.675370:0.212045:0.675370:0.196472:0.665254:0.196472:0.000000
y:@0.585794:0.211367:0.593275:0.211367:0.593275:0.195006:0.585794:0.195006:0.000000
x:@0.612551:0.211367:0.620014:0.211367:0.620014:0.195006:0.612551:0.195006:0.000000
x:@0.653902:0.211367:0.661365:0.211367:0.661365:0.195006:0.653902:0.195006:0.000000
5:@0.644043:0.211367:0.653036:0.211367:0.653036:0.195698:0.644043:0.195698:0.000000
14:@0.676974:0.211367:0.694760:0.211367:0.694760:0.195698:0.676974:0.195698:0.000000:0.000000
2:@0.621637:0.203706:0.626849:0.203706:0.626849:0.194625:0.621637:0.194625:0.000000
12.:@0.524709:0.243703:0.549955:0.243703:0.549955:0.226567:0.524709:0.226567:0.000000:0.000000:0.000000
 :@0.549955:0.243703:0.553991:0.243703:0.553991:0.228033:0.549955:0.228033:0.000000
Relaciona:@0.553198:0.243703:0.630631:0.243703:0.630631:0.226802:0.553198:0.226802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cada gráfica de la función cuadrática :@0.630631:0.243703:0.898883:0.243703:0.898883:0.228033:0.630631:0.228033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con su ecuación.:@0.553198:0.260299:0.676092:0.260299:0.676092:0.244629:0.553198:0.244629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10. :@0.106936:0.730004:0.135903:0.730004:0.135903:0.712868:0.106936:0.712868:0.000000:0.000000:0.000000:0.000000
Determinen:@0.135426:0.730004:0.230881:0.730004:0.230881:0.713103:0.135426:0.713103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la concavidad, su punto máximo :@0.230881:0.730004:0.481106:0.730004:0.481106:0.714334:0.230881:0.714334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mínimo, sin realizar la gráfica de la función :@0.135426:0.746600:0.481110:0.746600:0.481110:0.730931:0.135426:0.730931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrática.:@0.135426:0.763197:0.214959:0.763197:0.214959:0.747527:0.135426:0.747527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.135426:0.790443:0.154662:0.790443:0.154662:0.773307:0.135426:0.773307:0.000000:0.000000:0.000000
=:@0.179895:0.792400:0.190012:0.792400:0.190012:0.776827:0.179895:0.776827:0.000000
y:@0.168011:0.791722:0.175492:0.791722:0.175492:0.775361:0.168011:0.775361:0.000000
x:@0.203134:0.791722:0.210597:0.791722:0.210597:0.775361:0.203134:0.775361:0.000000
5:@0.193297:0.791722:0.202289:0.791722:0.202289:0.776053:0.193297:0.776053:0.000000
2:@0.212249:0.784061:0.217460:0.784061:0.217460:0.774980:0.212249:0.774980:0.000000
b) :@0.135436:0.817682:0.155817:0.817682:0.155817:0.800546:0.135436:0.800546:0.000000:0.000000:0.000000
=−:@0.179895:0.820278:0.203777:0.820278:0.203777:0.804705:0.179895:0.804705:0.000000:0.000000
+:@0.233243:0.820278:0.243360:0.820278:0.243360:0.804705:0.233243:0.804705:0.000000
y:@0.168011:0.819601:0.175492:0.819601:0.175492:0.803239:0.168011:0.803239:0.000000
x:@0.214596:0.819601:0.222059:0.819601:0.222059:0.803239:0.214596:0.803239:0.000000
4:@0.203613:0.819601:0.212606:0.819601:0.212606:0.803931:0.203613:0.803931:0.000000
1:@0.244964:0.819601:0.253957:0.819601:0.253957:0.803931:0.244964:0.803931:0.000000
2:@0.223712:0.811938:0.228924:0.811938:0.228924:0.802857:0.223712:0.802857:0.000000
c) :@0.135436:0.844926:0.153255:0.844926:0.153255:0.827791:0.135436:0.827791:0.000000:0.000000:0.000000
=:@0.179895:0.846675:0.190012:0.846675:0.190012:0.831102:0.179895:0.831102:0.000000
−:@0.213396:0.846675:0.223513:0.846675:0.223513:0.831102:0.213396:0.831102:0.000000
+:@0.249367:0.846675:0.259484:0.846675:0.259484:0.831102:0.249367:0.831102:0.000000
y:@0.168009:0.845998:0.175491:0.845998:0.175491:0.829636:0.168009:0.829636:0.000000
x:@0.194766:0.845998:0.202229:0.845998:0.202229:0.829636:0.194766:0.829636:0.000000
x:@0.237997:0.845998:0.245460:0.845998:0.245460:0.829636:0.237997:0.829636:0.000000
4:@0.227011:0.845998:0.236004:0.845998:0.236004:0.830328:0.227011:0.830328:0.000000
1:@0.261084:0.845998:0.270076:0.845998:0.270076:0.830328:0.261084:0.830328:0.000000
2:@0.203872:0.838335:0.209084:0.838335:0.209084:0.829254:0.203872:0.829254:0.000000
d) :@0.135436:0.872171:0.155927:0.872171:0.155927:0.855035:0.135436:0.855035:0.000000:0.000000:0.000000
=−:@0.180314:0.873360:0.204620:0.873360:0.204620:0.857787:0.180314:0.857787:0.000000:0.000000
+:@0.225232:0.873360:0.235349:0.873360:0.235349:0.857787:0.225232:0.857787:0.000000
+:@0.260042:0.873360:0.270158:0.873360:0.270158:0.857787:0.260042:0.857787:0.000000
y:@0.168011:0.872683:0.175492:0.872683:0.175492:0.856321:0.168011:0.856321:0.000000
x:@0.206653:0.872683:0.214117:0.872683:0.214117:0.856321:0.206653:0.856321:0.000000
x:@0.248890:0.872683:0.256353:0.872683:0.256353:0.856321:0.248890:0.856321:0.000000
6:@0.238267:0.872683:0.247260:0.872683:0.247260:0.857013:0.238267:0.857013:0.000000
3:@0.272708:0.872683:0.281701:0.872683:0.281701:0.857013:0.272708:0.857013:0.000000
2:@0.215755:0.865022:0.220967:0.865022:0.220967:0.855940:0.215755:0.855940:0.000000
e) :@0.135436:0.899417:0.154674:0.899417:0.154674:0.882281:0.135436:0.882281:0.000000:0.000000:0.000000
=:@0.179895:0.900305:0.190012:0.900305:0.190012:0.884733:0.179895:0.884733:0.000000
−:@0.213396:0.900305:0.223513:0.900305:0.223513:0.884733:0.213396:0.884733:0.000000
+:@0.247893:0.900305:0.258010:0.900305:0.258010:0.884733:0.247893:0.884733:0.000000
y:@0.168009:0.899628:0.175491:0.899628:0.175491:0.883267:0.168009:0.883267:0.000000
x:@0.194766:0.899628:0.202229:0.899628:0.202229:0.883267:0.194766:0.883267:0.000000
x:@0.236541:0.899628:0.244005:0.899628:0.244005:0.883267:0.236541:0.883267:0.000000
2:@0.226279:0.899628:0.235272:0.899628:0.235272:0.883958:0.226279:0.883958:0.000000
8:@0.260775:0.899628:0.269768:0.899628:0.269768:0.883958:0.260775:0.883958:0.000000
2:@0.203872:0.891966:0.209084:0.891966:0.209084:0.882884:0.203872:0.882884:0.000000
i) :@0.802141:0.285734:0.816699:0.285734:0.816699:0.268598:0.802141:0.268598:0.000000:0.000000:0.000000
y:@0.830633:0.285734:0.837367:0.285734:0.837367:0.269373:0.830633:0.269373:0.000000
 = (  – 2):@0.837367:0.285734:0.893672:0.285734:0.893672:0.270064:0.837367:0.270064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.858910:0.285734:0.865627:0.285734:0.865627:0.269373:0.858910:0.269373:0.000000
2:@0.893673:0.279687:0.898391:0.279687:0.898391:0.270551:0.893673:0.270551:0.000000
y:@0.657395:0.278443:0.661597:0.278443:0.661597:0.269951:0.657395:0.269951:0.000000
x:@0.789739:0.402995:0.793835:0.402995:0.793835:0.394503:0.789739:0.394503:0.000000
0:@0.657029:0.405116:0.661689:0.405116:0.661689:0.396624:0.657029:0.396624:0.000000
1:@0.684835:0.405038:0.689495:0.405038:0.689495:0.396545:0.684835:0.396545:0.000000
4:@0.656465:0.327516:0.661125:0.327516:0.661125:0.319024:0.656465:0.319024:0.000000
1:@0.656467:0.380489:0.661127:0.380489:0.661127:0.371997:0.656467:0.371997:0.000000
2:@0.656467:0.363512:0.661127:0.363512:0.661127:0.355020:0.656467:0.355020:0.000000
3:@0.656467:0.345065:0.661127:0.345065:0.661127:0.336573:0.656467:0.336573:0.000000
6:@0.656467:0.292522:0.661127:0.292522:0.661127:0.284030:0.656467:0.284030:0.000000
5:@0.656467:0.310068:0.661127:0.310068:0.661127:0.301576:0.656467:0.301576:0.000000
2:@0.707228:0.404768:0.711888:0.404768:0.711888:0.396275:0.707228:0.396275:0.000000
3:@0.728503:0.404768:0.733163:0.404768:0.733163:0.396275:0.728503:0.396275:0.000000
4:@0.749907:0.404768:0.754567:0.404768:0.754567:0.396275:0.749907:0.396275:0.000000
5:@0.771879:0.404768:0.776539:0.404768:0.776539:0.396275:0.771879:0.396275:0.000000
-1:@0.640147:0.405040:0.647652:0.405040:0.647652:0.396547:0.640147:0.396547:0.000000:0.000000
-5:@0.552756:0.405040:0.560261:0.405040:0.560261:0.396547:0.552756:0.396547:0.000000:0.000000
-4:@0.573524:0.405040:0.581030:0.405040:0.581030:0.396547:0.573524:0.396547:0.000000:0.000000
-2:@0.618491:0.405040:0.625996:0.405040:0.625996:0.396547:0.618491:0.396547:0.000000:0.000000
-3:@0.596835:0.405040:0.604341:0.405040:0.604341:0.396547:0.596835:0.396547:0.000000:0.000000
-6:@0.531097:0.405383:0.538602:0.405383:0.538602:0.396890:0.531097:0.396890:0.000000:0.000000
ii):@0.802141:0.471814:0.818025:0.471814:0.818025:0.454678:0.802141:0.454678:0.000000:0.000000:0.000000
 :@0.818025:0.471814:0.822061:0.471814:0.822061:0.456144:0.818025:0.456144:0.000000
y x:@0.830633:0.471814:0.861232:0.471814:0.861232:0.455452:0.830633:0.455452:0.000000:0.000000:0.000000
 =   + 2:@0.837367:0.471814:0.891193:0.471814:0.891193:0.456144:0.837367:0.456144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.861232:0.465766:0.865950:0.465766:0.865950:0.456631:0.861232:0.456631:0.000000
y:@0.657395:0.465694:0.661597:0.465694:0.661597:0.457202:0.657395:0.457202:0.000000
x:@0.789739:0.519488:0.793835:0.519488:0.793835:0.510995:0.789739:0.510995:0.000000
0:@0.657029:0.521609:0.661689:0.521609:0.661689:0.513117:0.657029:0.513117:0.000000
1:@0.684835:0.521530:0.689495:0.521530:0.689495:0.513038:0.684835:0.513038:0.000000
1:@0.656465:0.496978:0.661125:0.496978:0.661125:0.488485:0.656465:0.488485:0.000000
2:@0.656467:0.479576:0.661127:0.479576:0.661127:0.471084:0.656467:0.471084:0.000000
–1:@0.651693:0.532893:0.661127:0.532893:0.661127:0.524401:0.651693:0.524401:0.000000:0.000000
–2:@0.652066:0.550070:0.661500:0.550070:0.661500:0.541578:0.652066:0.541578:0.000000:0.000000
2:@0.707228:0.521261:0.711888:0.521261:0.711888:0.512768:0.707228:0.512768:0.000000
3:@0.728503:0.521261:0.733163:0.521261:0.733163:0.512768:0.728503:0.512768:0.000000
4:@0.749907:0.521261:0.754567:0.521261:0.754567:0.512768:0.749907:0.512768:0.000000
5:@0.771879:0.521261:0.776539:0.521261:0.776539:0.512768:0.771879:0.512768:0.000000
-1:@0.640147:0.521533:0.647652:0.521533:0.647652:0.513041:0.640147:0.513041:0.000000:0.000000
-5:@0.552756:0.521533:0.560261:0.521533:0.560261:0.513041:0.552756:0.513041:0.000000:0.000000
-4:@0.573524:0.521533:0.581030:0.521533:0.581030:0.513041:0.573524:0.513041:0.000000:0.000000
-2:@0.618491:0.521533:0.625996:0.521533:0.625996:0.513041:0.618491:0.513041:0.000000:0.000000
-3:@0.596835:0.521533:0.604341:0.521533:0.604341:0.513041:0.596835:0.513041:0.000000:0.000000
-6:@0.531097:0.521877:0.538602:0.521877:0.538602:0.513384:0.531097:0.513384:0.000000:0.000000
iii) :@0.802141:0.613707:0.826797:0.613707:0.826797:0.596572:0.802141:0.596572:0.000000:0.000000:0.000000:0.000000:0.000000
y x:@0.826797:0.613707:0.857396:0.613707:0.857396:0.597346:0.826797:0.597346:0.000000:0.000000:0.000000
 =   – 2:@0.833530:0.613707:0.885763:0.613707:0.885763:0.598038:0.833530:0.598038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.857395:0.607660:0.862114:0.607660:0.862114:0.598525:0.857395:0.598525:0.000000
y:@0.570718:0.606858:0.574920:0.606858:0.574920:0.598365:0.570718:0.598365:0.000000
x:@0.746322:0.695800:0.750418:0.695800:0.750418:0.687308:0.746322:0.687308:0.000000
0:@0.570355:0.697922:0.575015:0.697922:0.575015:0.689429:0.570355:0.689429:0.000000
1:@0.598162:0.697843:0.602821:0.697843:0.602821:0.689350:0.598162:0.689350:0.000000
1:@0.569792:0.673290:0.574452:0.673290:0.574452:0.664798:0.569792:0.664798:0.000000
2:@0.569788:0.655890:0.574448:0.655890:0.574448:0.647397:0.569788:0.647397:0.000000
3:@0.569788:0.638201:0.574448:0.638201:0.574448:0.629709:0.569788:0.629709:0.000000
4:@0.569788:0.620513:0.574448:0.620513:0.574448:0.612021:0.569788:0.612021:0.000000
2:@0.620550:0.697574:0.625210:0.697574:0.625210:0.689082:0.620550:0.689082:0.000000
3:@0.641825:0.697574:0.646485:0.697574:0.646485:0.689082:0.641825:0.689082:0.000000
4:@0.663230:0.697574:0.667890:0.697574:0.667890:0.689082:0.663230:0.689082:0.000000
5:@0.685202:0.697574:0.689862:0.697574:0.689862:0.689082:0.685202:0.689082:0.000000
6:@0.706863:0.697574:0.711523:0.697574:0.711523:0.689082:0.706863:0.689082:0.000000
7:@0.728430:0.697574:0.733090:0.697574:0.733090:0.689082:0.728430:0.689082:0.000000
-1:@0.553468:0.697846:0.560974:0.697846:0.560974:0.689354:0.553468:0.689354:0.000000:0.000000
-2:@0.531812:0.697846:0.539318:0.697846:0.539318:0.689354:0.531812:0.689354:0.000000:0.000000
-3:@0.510158:0.697846:0.517664:0.697846:0.517664:0.689354:0.510158:0.689354:0.000000:0.000000
Sí pertenece.:@0.156207:0.140283:0.216645:0.140283:0.216645:0.130312:0.156207:0.130312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No pertenece.:@0.156207:0.220813:0.222473:0.220813:0.222473:0.210842:0.156207:0.210842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí pertenece.:@0.156207:0.166317:0.216645:0.166317:0.216645:0.156345:0.156207:0.156345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
No pertenece.:@0.156207:0.249267:0.222473:0.249267:0.222473:0.239296:0.156207:0.239296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí pertenece.:@0.156207:0.192360:0.216645:0.192360:0.216645:0.182388:0.156207:0.182388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí pertenece.:@0.156207:0.277510:0.216645:0.277510:0.216645:0.267539:0.156207:0.267539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sí pertenece.:@0.156207:0.305955:0.216645:0.305955:0.216645:0.295984:0.156207:0.295984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriba, P(0, 0):@0.165752:0.801739:0.225171:0.801739:0.225171:0.791768:0.165752:0.791768:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abajo, P(0, 1):@0.165752:0.829973:0.224175:0.829973:0.224175:0.820002:0.165752:0.820002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriba, P(2, –3):@0.165752:0.858207:0.231035:0.858207:0.231035:0.848236:0.165752:0.848236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arriba, P(2, 8):@0.165752:0.909166:0.225171:0.909166:0.225171:0.899194:0.165752:0.899194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.730791:0.914614:0.737088:0.914614:0.737088:0.904202:0.730791:0.904202:0.000000
 = (2  + 10)(2  + 6):@0.737088:0.914614:0.824006:0.914614:0.824006:0.904642:0.737088:0.904642:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758043:0.914614:0.762793:0.914614:0.762793:0.904202:0.758043:0.904202:0.000000
x:@0.798301:0.914614:0.803050:0.914614:0.803050:0.904202:0.798301:0.904202:0.000000
V = (2, 3), Eje:   = 2:@0.701826:0.124987:0.787665:0.124987:0.787665:0.115015:0.701826:0.115015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.765068:0.124987:0.769817:0.124987:0.769817:0.114575:0.765068:0.114575:0.000000
V = (–3, –3), Eje:   = –3:@0.701826:0.181385:0.805255:0.181385:0.805255:0.171413:0.701826:0.171413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.776794:0.181385:0.781544:0.181385:0.781544:0.170973:0.776794:0.170973:0.000000
Eje:   = 5/2:@0.807366:0.149437:0.858072:0.149437:0.858072:0.139465:0.807366:0.139465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.825636:0.149437:0.830385:0.149437:0.830385:0.139025:0.825636:0.139025:0.000000
Eje:   = –5/2:@0.807366:0.207744:0.863935:0.207744:0.863935:0.197772:0.807366:0.197772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.825636:0.207744:0.830385:0.207744:0.830385:0.197332:0.825636:0.197332:0.000000
abajo, P(3, 30):@0.165752:0.881055:0.229897:0.881055:0.229897:0.871083:0.165752:0.871083:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.701368:0.150056:0.706433:0.150056:0.709252:0.141595:0.704187:0.141595:0.000000
=:@0.710641:0.150422:0.716104:0.150422:0.716104:0.142013:0.710641:0.142013:0.000000
5 17:@0.722204:0.145493:0.746335:0.145495:0.746335:0.137033:0.722204:0.137031:0.000000:0.000000:0.000000:0.000000
2:@0.722093:0.155934:0.726949:0.155934:0.726949:0.147473:0.722093:0.147473:0.000000
,:@0.728336:0.150056:0.730068:0.150056:0.730068:0.141595:0.728336:0.141595:0.000000
4:@0.739499:0.155935:0.744355:0.155935:0.744355:0.147474:0.739499:0.147474:0.000000
V:@0.701368:0.207331:0.706433:0.207331:0.709252:0.198870:0.704187:0.198870:0.000000
=:@0.710641:0.207696:0.716104:0.207696:0.716104:0.199287:0.710641:0.199287:0.000000
5:@0.728082:0.202769:0.732938:0.202769:0.732938:0.194307:0.728082:0.194307:0.000000
2:@0.727973:0.213209:0.732829:0.213209:0.732829:0.204748:0.727973:0.204748:0.000000
,:@0.734217:0.207330:0.735948:0.207330:0.735948:0.198869:0.734217:0.198869:0.000000
81:@0.743234:0.202769:0.752837:0.202769:0.752837:0.194307:0.743234:0.194307:0.000000:0.000000
4:@0.744876:0.213209:0.749732:0.213209:0.749732:0.204748:0.744876:0.204748:0.000000
Respuesta:  ii);  iii);  i):@0.783946:0.722435:0.897085:0.722435:0.897085:0.712463:0.783946:0.712463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.836306:0.722435:0.845288:0.722435:0.845288:0.711856:0.836306:0.711856:0.000000:0.000000
b):@0.857906:0.722435:0.867874:0.722435:0.867874:0.711856:0.857906:0.711856:0.000000:0.000000
c):@0.882943:0.722435:0.891527:0.722435:0.891527:0.711856:0.882943:0.711856:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000