159:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
La aceleración se mide en                                , lo que se abrevia       .:@0.108233:0.101540:0.575872:0.101540:0.575872:0.085043:0.108233:0.085043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para la función de desplazamiento  , se tiene::@0.108233:0.136242:0.428129:0.136242:0.428129:0.119744:0.108233:0.119744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.356327:0.136357:0.364207:0.136357:0.364207:0.119889:0.356327:0.119889:0.000000
a t:@0.108233:0.167965:0.128828:0.167965:0.128828:0.151496:0.108233:0.151496:0.000000:0.000000:0.000000
( ) = lím                          :@0.117211:0.167849:0.284086:0.167849:0.284086:0.151351:0.117211:0.151351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.203013:0.112375:0.203013:0.112375:0.186516:0.108233:0.186516:0.000000
= lím                         :@0.140059:0.203013:0.281081:0.203013:0.281081:0.186516:0.140059:0.186516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.234621:0.112375:0.234621:0.112375:0.218123:0.108233:0.218123:0.000000
= lím (–1 – 0,03  – 0,3  – 0,1 ):@0.140059:0.234621:0.376582:0.234627:0.376582:0.218129:0.140059:0.218123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.253647:0.234736:0.259311:0.234736:0.259311:0.218267:0.253647:0.218267:0.000000
2:@0.259313:0.228274:0.264266:0.228274:0.264266:0.218656:0.259313:0.218656:0.000000
ht:@0.302797:0.234742:0.317747:0.234742:0.317747:0.218274:0.302797:0.218274:0.000000:0.000000
h:@0.356277:0.234742:0.365679:0.234742:0.365679:0.218274:0.356277:0.218274:0.000000
2:@0.365677:0.228274:0.370630:0.228274:0.370630:0.218656:0.365677:0.218656:0.000000
 :@0.108237:0.266234:0.112379:0.266234:0.112379:0.249736:0.108237:0.249736:0.000000
= –1 – 0,3 ,   > 0.:@0.140063:0.266234:0.266058:0.266234:0.266058:0.249736:0.140063:0.249736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t t:@0.212538:0.266350:0.235715:0.266350:0.235715:0.249881:0.212538:0.249881:0.000000:0.000000:0.000000
2:@0.218201:0.259881:0.223154:0.259881:0.223154:0.250263:0.218201:0.250263:0.000000
Calculamos la aceleración en los primeros cinco segundos::@0.108237:0.300184:0.521300:0.300184:0.521300:0.283686:0.108237:0.283686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.108237:0.324778:0.117215:0.324778:0.117215:0.308310:0.108237:0.308310:0.000000
(1) = –1,3       ,   (2) = –2,2       ,   (3) = –3,7       ,   (4) = –5,8       ,:@0.117215:0.324663:0.574957:0.324663:0.574957:0.308165:0.117215:0.308165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.226988:0.324778:0.235966:0.324778:0.235966:0.308310:0.226988:0.308310:0.000000
a:@0.345739:0.324778:0.354717:0.324778:0.354717:0.308310:0.345739:0.308310:0.000000
a:@0.464490:0.324778:0.473468:0.324778:0.473468:0.308310:0.464490:0.308310:0.000000
a:@0.108237:0.356386:0.117215:0.356386:0.117215:0.339917:0.108237:0.339917:0.000000
(5) = –8,5       .:@0.117215:0.356270:0.218704:0.356270:0.218704:0.339772:0.117215:0.339772:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108237:0.373621:0.112379:0.373621:0.112379:0.357123:0.108237:0.357123:0.000000
El signo negativo de la aceleración significa que la velocidad decrece.:@0.108237:0.390972:0.592309:0.390972:0.592309:0.374474:0.108237:0.374474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.108237:0.426049:0.238892:0.426049:0.238892:0.409262:0.108237:0.409262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Este ejercicio requiere el uso de una calculadora científica.:@0.108237:0.443024:0.517175:0.443024:0.517175:0.426526:0.108237:0.426526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108237:0.478434:0.122648:0.478434:0.122648:0.461242:0.108237:0.461242:0.000000:0.000000
  En una pista larga y recta, un automóvil parte del reposo.:@0.122647:0.477725:0.534359:0.477725:0.534359:0.461227:0.122647:0.461227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108237:0.502204:0.112379:0.502204:0.112379:0.485707:0.108237:0.485707:0.000000
Su velocidad, en       , está dada por: :@0.131971:0.502204:0.387232:0.502204:0.387232:0.485707:0.131971:0.485707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108237:0.547590:0.112379:0.547590:0.112379:0.531093:0.108237:0.531093:0.000000
V t:@0.131971:0.547706:0.154338:0.547706:0.154338:0.531237:0.131971:0.531237:0.000000:0.000000:0.000000
( ) =  2:@0.142721:0.547590:0.203707:0.549253:0.203707:0.532755:0.142721:0.531093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.108236:0.597590:0.122782:0.597590:0.122782:0.580875:0.108236:0.580875:0.000000:0.000000
  Calculamos la velocidad y la aceleración en   = 5 s.:@0.122783:0.597373:0.487550:0.597373:0.487550:0.580876:0.122783:0.580876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.440909:0.597489:0.446573:0.597489:0.446573:0.581020:0.440909:0.581020:0.000000
 :@0.108237:0.614724:0.112379:0.614724:0.112379:0.598226:0.108237:0.598226:0.000000
Para calcular la velocidad en   = 5 s, reemplazamos este valor en la :@0.131971:0.614724:0.599978:0.614724:0.599978:0.598226:0.131971:0.598226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.334025:0.614840:0.339689:0.614840:0.339689:0.598371:0.334025:0.598371:0.000000
primera función.:@0.131971:0.632075:0.249410:0.632075:0.249410:0.615577:0.131971:0.615577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108237:0.656553:0.112379:0.656553:0.112379:0.640055:0.108237:0.640055:0.000000
V 5:@0.131971:0.656669:0.156746:0.656669:0.156746:0.640200:0.131971:0.640200:0.000000:0.000000:0.000000
( ) =       ;:@0.142721:0.656553:0.217001:0.656563:0.217001:0.640066:0.142721:0.640055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.202501:0.656669:0.208165:0.656669:0.208165:0.640200:0.202501:0.640200:0.000000
2:@0.208169:0.650210:0.213123:0.650210:0.213123:0.640592:0.208169:0.640592:0.000000
 :@0.108229:0.688170:0.112371:0.688170:0.112371:0.671673:0.108229:0.671673:0.000000
V 5:@0.131963:0.688286:0.156738:0.688286:0.156738:0.671817:0.131963:0.671817:0.000000:0.000000:0.000000
( ) =      (5)  =        = 12,5       .:@0.142713:0.688170:0.352011:0.688169:0.352011:0.671672:0.142713:0.671673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.222907:0.681817:0.227860:0.681817:0.227860:0.672199:0.222907:0.672199:0.000000
 :@0.108228:0.722871:0.112370:0.722871:0.112370:0.706373:0.108228:0.706373:0.000000
Determinamos la aceleración en   = 5  .:@0.131963:0.722871:0.410787:0.722871:0.410787:0.706373:0.131963:0.706373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.364261:0.722986:0.369925:0.722986:0.369925:0.706518:0.364261:0.706518:0.000000
s:@0.401655:0.722986:0.408032:0.722986:0.408032:0.706518:0.401655:0.706518:0.000000
 :@0.108228:0.757572:0.112370:0.757572:0.112370:0.741075:0.108228:0.741075:0.000000
La función  ( ) =       ,   ≤ 8 es una función polinómica; por lo:@0.131963:0.757572:0.575463:0.757572:0.575463:0.741075:0.131963:0.741075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V t:@0.211449:0.757688:0.233816:0.757688:0.233816:0.741219:0.211449:0.741219:0.000000:0.000000:0.000000
t t:@0.279571:0.757688:0.303886:0.757688:0.303886:0.741219:0.279571:0.741219:0.000000:0.000000:0.000000
2:@0.285249:0.751220:0.290202:0.751220:0.290202:0.741602:0.285249:0.741602:0.000000
 :@0.108227:0.782052:0.112369:0.782052:0.112369:0.765554:0.108227:0.765554:0.000000
tanto, es derivable en   = 5 .:@0.131963:0.782052:0.329044:0.782052:0.329044:0.765554:0.131963:0.765554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.286661:0.782168:0.292325:0.782168:0.292325:0.765699:0.286661:0.765699:0.000000
s:@0.319913:0.782168:0.326289:0.782168:0.326289:0.765699:0.319913:0.765699:0.000000
 :@0.108227:0.816753:0.112369:0.816753:0.112369:0.800256:0.108227:0.800256:0.000000
a t:@0.131963:0.816869:0.152557:0.816869:0.152557:0.800400:0.131963:0.800400:0.000000:0.000000:0.000000
( ) =       ( ) = lím                           ,   ( ) =      lím                            :@0.140940:0.816753:0.589359:0.816753:0.589359:0.800256:0.140940:0.800256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.208407:0.816869:0.214071:0.816869:0.214071:0.800400:0.208407:0.800400:0.000000
a t:@0.384511:0.816869:0.405106:0.816869:0.405106:0.800400:0.384511:0.800400:0.000000:0.000000:0.000000
 :@0.108227:0.858583:0.112369:0.858583:0.112369:0.842085:0.108227:0.842085:0.000000
a t:@0.131963:0.858698:0.152557:0.858698:0.152557:0.842229:0.131963:0.842229:0.000000:0.000000:0.000000
( ) =      lím                               ;   ( ) =  ;  (5) = 5      .:@0.140940:0.858583:0.503050:0.858583:0.503050:0.842085:0.140940:0.842085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a t:@0.360275:0.858698:0.380870:0.858698:0.380870:0.842229:0.360275:0.842229:0.000000:0.000000:0.000000
t a:@0.405915:0.858698:0.427453:0.858698:0.427453:0.842229:0.405915:0.842229:0.000000:0.000000:0.000000
b):@0.108228:0.897058:0.124237:0.897058:0.124237:0.880343:0.108228:0.880343:0.000000:0.000000
  Constatamos si existe aceleración al instante   = 8.:@0.124237:0.896841:0.485993:0.896841:0.485993:0.880343:0.124237:0.880343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.449986:0.896957:0.455650:0.896957:0.455650:0.880488:0.449986:0.880488:0.000000
 :@0.108227:0.914192:0.112369:0.914192:0.112369:0.897695:0.108227:0.897695:0.000000
Para ello, se verifica si la función es continua y derivable en 8. Se :@0.131963:0.914192:0.599839:0.914192:0.599839:0.897695:0.131963:0.897695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprueba, entonces, que en   = 8 la función es continua pero no :@0.131963:0.931543:0.599906:0.931543:0.599906:0.915045:0.131963:0.915045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.344645:0.931659:0.350309:0.931659:0.350309:0.915190:0.344645:0.915190:0.000000
derivable.:@0.131963:0.948894:0.199410:0.948894:0.199410:0.932396:0.131963:0.932396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.256671:0.495563:0.271467:0.495563:0.271467:0.479095:0.256671:0.479095:0.000000
s:@0.260871:0.511902:0.267248:0.511902:0.267248:0.495433:0.260871:0.495433:0.000000
m:@0.329259:0.681312:0.344055:0.681312:0.344055:0.664843:0.329259:0.664843:0.000000
s:@0.333459:0.697651:0.339836:0.697651:0.339836:0.681182:0.333459:0.681182:0.000000
(metro/segundo):@0.299075:0.095053:0.414974:0.095053:0.414974:0.078584:0.299075:0.078584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo:@0.328339:0.111391:0.385691:0.111391:0.385691:0.094922:0.328339:0.094922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.553359:0.095053:0.568155:0.095053:0.568155:0.078584:0.553359:0.078584:0.000000
s:@0.555093:0.111391:0.561470:0.111391:0.561470:0.094922:0.555093:0.094922:0.000000
2:@0.561469:0.104930:0.566422:0.104930:0.566422:0.095312:0.561469:0.095312:0.000000
v t + h:@0.182495:0.160509:0.230465:0.160509:0.230465:0.144040:0.182495:0.144040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.190278:0.160393:0.196231:0.160393:0.196231:0.143896:0.190278:0.143896:0.000000
) –  (:@0.230465:0.160393:0.268938:0.160393:0.268938:0.143896:0.230465:0.143896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t):@0.255202:0.160509:0.280035:0.160509:0.280035:0.144040:0.255202:0.144040:0.000000:0.000000:0.000000:0.000000
h:@0.226554:0.176848:0.235956:0.176848:0.235956:0.160379:0.226554:0.160379:0.000000
15 (:@0.188423:0.195746:0.229690:0.195746:0.229690:0.179248:0.188423:0.179248:0.000000:0.000000:0.000000:0.000000
 –  t + h:@0.205415:0.195862:0.263924:0.195862:0.263924:0.179393:0.205415:0.179393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) – 0,1(:@0.263924:0.195746:0.314360:0.195746:0.314360:0.179248:0.263924:0.179248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t + h):@0.314360:0.195862:0.354028:0.195862:0.354028:0.179393:0.314360:0.179393:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.354024:0.189393:0.358977:0.189393:0.358977:0.179775:0.354024:0.179775:0.000000
 – (15 –   – 0,1 ):@0.358978:0.195746:0.480253:0.195746:0.480253:0.179248:0.358978:0.179248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.419490:0.195862:0.425154:0.195862:0.425154:0.179393:0.419490:0.179393:0.000000
t:@0.463685:0.195862:0.469349:0.195862:0.469349:0.179393:0.463685:0.179393:0.000000
3:@0.469346:0.189393:0.474299:0.189393:0.474299:0.179775:0.469346:0.179775:0.000000
h:@0.329637:0.212200:0.339038:0.212200:0.339038:0.195732:0.329637:0.195732:0.000000
h:@0.151267:0.175531:0.157398:0.175531:0.157398:0.164791:0.151267:0.164791:0.000000
→:@0.157398:0.174849:0.168145:0.174849:0.168145:0.164838:0.157398:0.164838:0.000000
0:@0.168143:0.175456:0.173684:0.175456:0.173684:0.164696:0.168143:0.164696:0.000000
h:@0.154611:0.210883:0.160743:0.210883:0.160743:0.200143:0.154611:0.200143:0.000000
→:@0.160748:0.210202:0.171496:0.210202:0.171496:0.200191:0.160748:0.200191:0.000000
0:@0.171493:0.210809:0.177034:0.210809:0.177034:0.200049:0.171493:0.200049:0.000000
h:@0.154620:0.242313:0.160751:0.242313:0.160751:0.231573:0.154620:0.231573:0.000000
→:@0.160748:0.241634:0.171496:0.241634:0.171496:0.231623:0.160748:0.231623:0.000000
0:@0.171493:0.242241:0.177034:0.242241:0.177034:0.231482:0.171493:0.231482:0.000000
m:@0.194752:0.317843:0.209548:0.317843:0.209548:0.301374:0.194752:0.301374:0.000000
s:@0.196486:0.334181:0.202863:0.334181:0.202863:0.317712:0.196486:0.317712:0.000000
2:@0.202862:0.327720:0.207815:0.327720:0.207815:0.318102:0.202862:0.318102:0.000000
m:@0.194752:0.349364:0.209548:0.349364:0.209548:0.332896:0.194752:0.332896:0.000000
s:@0.196486:0.365703:0.202863:0.365703:0.202863:0.349234:0.196486:0.349234:0.000000
2:@0.202862:0.359242:0.207815:0.359242:0.207815:0.349624:0.202862:0.349624:0.000000
m:@0.312152:0.317843:0.326947:0.317843:0.326947:0.301374:0.312152:0.301374:0.000000
s:@0.313885:0.334181:0.320262:0.334181:0.320262:0.317712:0.313885:0.317712:0.000000
2:@0.320260:0.327720:0.325213:0.327720:0.325213:0.318102:0.320260:0.318102:0.000000
m:@0.431094:0.317843:0.445889:0.317843:0.445889:0.301374:0.431094:0.301374:0.000000
s:@0.432827:0.334181:0.439204:0.334181:0.439204:0.317712:0.432827:0.317712:0.000000
2:@0.439202:0.327720:0.444155:0.327720:0.444155:0.318102:0.439202:0.318102:0.000000
m:@0.551711:0.317843:0.566507:0.317843:0.566507:0.301374:0.551711:0.301374:0.000000
s:@0.553445:0.334181:0.559822:0.334181:0.559822:0.317712:0.553445:0.317712:0.000000
2:@0.559819:0.327720:0.564772:0.327720:0.564772:0.318102:0.559819:0.318102:0.000000
      , si   ≤ 8,:@0.192337:0.540854:0.280764:0.540854:0.280764:0.524356:0.192337:0.524356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.213047:0.540969:0.218711:0.540969:0.218711:0.524501:0.213047:0.524501:0.000000
2:@0.218710:0.534501:0.223663:0.534501:0.223663:0.524883:0.218710:0.524883:0.000000
t:@0.244758:0.540969:0.250422:0.540969:0.250422:0.524501:0.244758:0.524501:0.000000
33,6 – 0,2 , si   > 8.:@0.192337:0.565333:0.321876:0.565333:0.321876:0.548835:0.192337:0.548835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.259110:0.565448:0.264774:0.565448:0.264774:0.548980:0.259110:0.548980:0.000000
t:@0.285870:0.565448:0.291534:0.565448:0.291534:0.548980:0.285870:0.548980:0.000000
1:@0.195211:0.532914:0.203707:0.532914:0.203707:0.516416:0.195211:0.516416:0.000000
1:@0.186835:0.649843:0.195331:0.649843:0.195331:0.633345:0.186835:0.633345:0.000000
2:@0.186835:0.666182:0.195331:0.666182:0.195331:0.649684:0.186835:0.649684:0.000000
1:@0.186835:0.681275:0.195331:0.681275:0.195331:0.664778:0.186835:0.664778:0.000000
2:@0.186835:0.697614:0.195331:0.697614:0.195331:0.681116:0.186835:0.681116:0.000000
1:@0.264952:0.750754:0.273448:0.750754:0.273448:0.734256:0.264952:0.734256:0.000000
2:@0.264952:0.767093:0.273448:0.767093:0.273448:0.750595:0.264952:0.750595:0.000000
1:@0.434586:0.809569:0.443082:0.809569:0.443082:0.793072:0.434586:0.793072:0.000000
2:@0.434586:0.825908:0.443082:0.825908:0.443082:0.809410:0.434586:0.809410:0.000000
1:@0.181466:0.851594:0.189962:0.851594:0.189962:0.835097:0.181466:0.835097:0.000000
2:@0.181466:0.867933:0.189962:0.867933:0.189962:0.851435:0.181466:0.851435:0.000000
25:@0.251206:0.681275:0.268198:0.681275:0.268198:0.664778:0.251206:0.664778:0.000000:0.000000
2:@0.255445:0.697614:0.263941:0.697614:0.263941:0.681116:0.255445:0.681116:0.000000
dv:@0.180763:0.809863:0.197658:0.809863:0.197658:0.793395:0.180763:0.793395:0.000000:0.000000
dt:@0.181841:0.826202:0.196579:0.826202:0.196579:0.809733:0.181841:0.809733:0.000000:0.000000
v t + h:@0.269612:0.809863:0.317583:0.809863:0.317583:0.793395:0.269612:0.793395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.277395:0.809748:0.283348:0.809748:0.283348:0.793250:0.277395:0.793250:0.000000
) –  (:@0.317583:0.809748:0.356055:0.809748:0.356055:0.793250:0.317583:0.793250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v t):@0.342319:0.809863:0.367152:0.809863:0.367152:0.793395:0.342319:0.793395:0.000000:0.000000:0.000000:0.000000
h:@0.313672:0.826202:0.323073:0.826202:0.323073:0.809733:0.313672:0.809733:0.000000
(:@0.482580:0.809748:0.488533:0.809748:0.488533:0.793250:0.482580:0.793250:0.000000
t + h:@0.488533:0.809863:0.522768:0.809863:0.522768:0.793395:0.488533:0.793395:0.000000:0.000000:0.000000:0.000000:0.000000
)  – :@0.522768:0.809748:0.552456:0.809748:0.552456:0.793250:0.522768:0.793250:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.528718:0.803396:0.533671:0.803396:0.533671:0.793778:0.528718:0.793778:0.000000
t:@0.552456:0.809863:0.558120:0.809863:0.558120:0.793395:0.552456:0.793395:0.000000
2:@0.558119:0.803396:0.563072:0.803396:0.563072:0.793778:0.558119:0.793778:0.000000
h:@0.518126:0.826208:0.527527:0.826208:0.527527:0.809740:0.518126:0.809740:0.000000
t  +  th  h:@0.226671:0.851889:0.308281:0.851889:0.308281:0.835420:0.226671:0.835420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.232335:0.845421:0.237288:0.845421:0.237288:0.835803:0.232335:0.835803:0.000000
2 +   – :@0.256457:0.851773:0.332016:0.851773:0.332016:0.835275:0.256457:0.835275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.308278:0.845421:0.313232:0.845421:0.313232:0.835803:0.308278:0.835803:0.000000
t:@0.332016:0.851889:0.337680:0.851889:0.337680:0.835420:0.332016:0.835420:0.000000
2:@0.337679:0.845421:0.342632:0.845421:0.342632:0.835803:0.337679:0.835803:0.000000
h:@0.279952:0.868234:0.289353:0.868234:0.289353:0.851765:0.279952:0.851765:0.000000
h:@0.238716:0.825787:0.244847:0.825787:0.244847:0.815047:0.238716:0.815047:0.000000
→:@0.244847:0.825105:0.255595:0.825105:0.255595:0.815094:0.244847:0.815094:0.000000
0:@0.255592:0.825712:0.261133:0.825712:0.261133:0.814952:0.255592:0.814952:0.000000
h:@0.451470:0.825787:0.457601:0.825787:0.457601:0.815047:0.451470:0.815047:0.000000
→:@0.457601:0.825105:0.468348:0.825105:0.468348:0.815094:0.457601:0.815094:0.000000
0:@0.468348:0.825712:0.473888:0.825712:0.473888:0.814952:0.468348:0.814952:0.000000
h:@0.198353:0.867816:0.204485:0.867816:0.204485:0.857075:0.198353:0.857075:0.000000
→:@0.204482:0.867130:0.215230:0.867130:0.215230:0.857119:0.204482:0.857119:0.000000
0:@0.215227:0.867737:0.220768:0.867737:0.220768:0.856978:0.215227:0.856978:0.000000
m:@0.480677:0.851889:0.495473:0.851889:0.495473:0.835420:0.480677:0.835420:0.000000
s:@0.482411:0.868227:0.488788:0.868227:0.488788:0.851759:0.482411:0.851759:0.000000
2:@0.488787:0.861766:0.493740:0.861766:0.493740:0.852148:0.488787:0.852148:0.000000
Shutterstock, 458325136:@0.871305:0.928435:0.871305:0.860262:0.859836:0.860262:0.859836:0.928435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.612416:0.831589:0.612416:0.831589:0.596943:0.684804:0.596943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física :@0.685042:0.641466:0.826937:0.641466:0.826937:0.625993:0.685042:0.625993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Muchos fenómenos físicos que :@0.638498:0.656885:0.843718:0.656885:0.843718:0.641822:0.638498:0.641822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
implican cantidades variables :@0.638498:0.672727:0.832003:0.672727:0.832003:0.657664:0.638498:0.657664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(por ejemplo, la velocidad de :@0.638498:0.688569:0.830806:0.688569:0.830806:0.673506:0.638498:0.673506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un cohete, la devaluación de la :@0.638498:0.704411:0.842152:0.704411:0.842152:0.689348:0.638498:0.689348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
moneda por la inflación, el nú-:@0.638498:0.720253:0.837422:0.720253:0.837422:0.705190:0.638498:0.705190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mero de bacterias de un cultivo, :@0.638498:0.736095:0.849997:0.736095:0.849997:0.721032:0.638498:0.721032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la intensidad de un movimiento :@0.638498:0.751937:0.849717:0.751937:0.849717:0.736874:0.638498:0.736874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
telúrico, el voltaje de una señal :@0.638498:0.767779:0.840324:0.767779:0.840324:0.752716:0.638498:0.752716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
eléctrica, entre otras), se estu-:@0.638498:0.783621:0.830173:0.783621:0.830173:0.768558:0.638498:0.768558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dian en la asignatura de Física :@0.638498:0.799463:0.832761:0.799463:0.832761:0.784400:0.638498:0.784400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mediante derivadas.:@0.638498:0.815305:0.768207:0.815305:0.768207:0.800242:0.638498:0.800242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.684804:0.105151:0.805118:0.105151:0.805118:0.089679:0.684804:0.089679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Geometría en la  :@0.678232:0.133506:0.797754:0.133506:0.797754:0.118034:0.678232:0.118034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Antigüedad:@0.638496:0.149348:0.721413:0.149348:0.721413:0.133876:0.638496:0.133876:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La geometría tiene origen en el :@0.638496:0.164767:0.841711:0.164767:0.841711:0.149704:0.638496:0.149704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
antiguo Egipto y Babilonia, ya :@0.638496:0.180609:0.832584:0.180609:0.832584:0.165546:0.638496:0.165546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se necesitaba realizar medi-:@0.638496:0.196451:0.844141:0.196451:0.844141:0.181388:0.638496:0.181388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciones en la tierra para construir :@0.638496:0.212293:0.849715:0.212293:0.849715:0.197230:0.638496:0.197230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y desarrollar otras ciencias. La :@0.638496:0.228135:0.832475:0.228135:0.832475:0.213072:0.638496:0.213072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
palabra \geometría\ significa :@0.638496:0.243977:0.824088:0.243977:0.824088:0.228914:0.638496:0.228914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\medida de tierras\.  :@0.638496:0.259819:0.770771:0.259819:0.770771:0.244756:0.638496:0.244756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los babilonios utilizaron el siste-:@0.638496:0.275661:0.846320:0.275661:0.846320:0.260598:0.638496:0.260598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ma de numeración sexagesimal, :@0.638496:0.291503:0.848324:0.291503:0.848324:0.276440:0.638496:0.276440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
basado en el número 60.:@0.638496:0.307345:0.797279:0.307345:0.797279:0.292282:0.638496:0.292282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga elabora:@0.638503:0.537580:0.753627:0.537580:0.753627:0.522107:0.638503:0.522107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.686135:0.537157:0.700841:0.537157:0.700841:0.522094:0.686135:0.522094:0.000000:0.000000:0.000000
 un corto :@0.753630:0.537157:0.817851:0.537157:0.817851:0.522094:0.753630:0.522094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ensayo acerca de la historia de :@0.638503:0.552999:0.837656:0.552999:0.837656:0.537936:0.638503:0.537936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la geometría en Babilonia.:@0.638503:0.568841:0.804639:0.568841:0.804639:0.553778:0.638503:0.553778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.868214:0.517949:0.868214:0.483580:0.856745:0.483580:0.856745:0.517949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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