A 215:@0.925269:0.967627:0.943044:0.966558:0.943044:0.950778:0.925269:0.951847:0.000000:0.000000:0.000000:0.000000:0.000000
Determinaremos la ecuación del período aplicando la segunda ley :@0.108231:0.083721:0.599880:0.083721:0.599880:0.067223:0.108231:0.067223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Newton.:@0.108231:0.101071:0.193516:0.101071:0.193516:0.084574:0.108231:0.084574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos un péndulo (Figura 6.18.) de masa  , longitud  , y con una :@0.108231:0.135773:0.599917:0.135773:0.599917:0.119275:0.108231:0.119275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.423950:0.135888:0.438746:0.135888:0.438746:0.119420:0.423950:0.119420:0.000000
L:@0.510391:0.135888:0.518232:0.135888:0.518232:0.119420:0.510391:0.119420:0.000000
amplitud determinada por el ángulo  . Determinaremos el período :@0.108231:0.153124:0.586104:0.153124:0.586104:0.136626:0.108231:0.136626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.369526:0.153659:0.379158:0.153659:0.379158:0.135252:0.369526:0.135252:0.000000
T :@0.585930:0.153239:0.599878:0.153239:0.599878:0.136770:0.585930:0.136770:0.000000:0.000000
del movimiento. :@0.108231:0.170474:0.228446:0.170474:0.228446:0.153977:0.108231:0.153977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.118017:0.378158:0.120898:0.378158:0.120898:0.366682:0.118017:0.366682:0.000000
Figura 6.18.:@0.120898:0.378158:0.175377:0.378158:0.175377:0.366682:0.120898:0.366682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.118017:0.579217:0.120898:0.579217:0.120898:0.567741:0.118017:0.567741:0.000000
Figura 6.19.:@0.120898:0.579217:0.175377:0.579217:0.175377:0.567741:0.120898:0.567741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.378404:0.929181:0.381285:0.929181:0.381285:0.917704:0.378404:0.917704:0.000000
Figura 6.20.:@0.381285:0.929181:0.435764:0.929181:0.435764:0.917704:0.381285:0.917704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.379578:0.245408:0.388306:0.245408:0.388306:0.231250:0.379578:0.231250:0.000000
L:@0.324567:0.257393:0.331636:0.257393:0.331636:0.242796:0.324567:0.242796:0.000000
L:@0.402465:0.283797:0.409535:0.283797:0.409535:0.269199:0.402465:0.269199:0.000000
esfera:@0.287611:0.356670:0.323997:0.356670:0.323997:0.342073:0.287611:0.342073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.432417:0.455710:0.441145:0.455710:0.441145:0.441553:0.432417:0.441553:0.000000
L:@0.453262:0.494217:0.460332:0.494217:0.460332:0.479620:0.453262:0.479620:0.000000
L:@0.371175:0.473107:0.378245:0.473107:0.378245:0.458510:0.371175:0.458510:0.000000
m . g:@0.284406:0.566080:0.314628:0.566080:0.314628:0.551482:0.284406:0.551482:0.000000:0.000000:0.000000:0.000000:0.000000
m . g . sen :@0.354599:0.551847:0.419546:0.551847:0.419546:0.537250:0.354599:0.537250:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.419546:0.552073:0.428274:0.552073:0.428274:0.537916:0.419546:0.537916:0.000000
m . g . cos :@0.235020:0.527594:0.298964:0.527594:0.298964:0.512996:0.235020:0.512996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.298964:0.527820:0.307692:0.527820:0.307692:0.513663:0.298964:0.513663:0.000000
T:@0.379687:0.502204:0.388432:0.502204:0.388432:0.487606:0.379687:0.487606:0.000000
Diagrama de cuerpo libre :@0.108231:0.417523:0.355821:0.417523:0.355821:0.396753:0.108231:0.396753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos tomar en cuenta que para que el período no dependa de :@0.108231:0.614739:0.599973:0.614739:0.599973:0.598241:0.108231:0.598241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la amplitud del movimiento, el ángulo   entre la vertical y la posición :@0.108231:0.632090:0.599823:0.632090:0.599823:0.615592:0.108231:0.615592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.381586:0.632625:0.391218:0.632625:0.391218:0.614219:0.381586:0.614219:0.000000
actual no debe ser muy grande (menor a 15°).:@0.108231:0.649441:0.433059:0.649441:0.433059:0.632943:0.108231:0.632943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En el diagrama de cuerpo libre (Figura 6.19.) vemos que la posición de :@0.108231:0.684142:0.599878:0.684142:0.599878:0.667644:0.108231:0.667644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
equilibrio se encuentra hacia la derecha, por lo que la fuerza restau-:@0.108231:0.701493:0.595812:0.701493:0.595812:0.684995:0.108231:0.684995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radora sería::@0.108231:0.718844:0.193709:0.718844:0.193709:0.702346:0.108231:0.702346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.121528:0.736878:0.061527:0.736878:0.061527:0.718483:0.121528:0.718483:0.000000
=:@0.195865:0.736878:0.135864:0.736878:0.135864:0.718483:0.195865:0.718483:0.000000
θ:@0.180887:0.736643:0.139499:0.736643:0.144064:0.721070:0.185452:0.721070:0.000000
θ:@0.231876:0.736643:0.190488:0.736643:0.195053:0.721070:0.236441:0.721070:0.000000
F:@0.110848:0.736145:0.118072:0.736145:0.118072:0.720392:0.110848:0.720392:0.000000
mgsen:@0.138748:0.736145:0.184080:0.736145:0.184080:0.720392:0.138748:0.720392:0.000000:0.000000:0.000000:0.000000:0.000000
mg:@0.213085:0.736145:0.234019:0.736145:0.234019:0.720392:0.213085:0.720392:0.000000:0.000000
(1):@0.264019:0.736034:0.280346:0.736034:0.280346:0.720254:0.264019:0.720254:0.000000:0.000000:0.000000
Consideramos que :@0.108231:0.775296:0.252352:0.775296:0.252352:0.758799:0.108231:0.758799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sen:@0.259114:0.775412:0.282117:0.775412:0.282117:0.758943:0.259114:0.758943:0.000000:0.000000:0.000000
 :@0.282119:0.775296:0.286261:0.775296:0.286261:0.758799:0.282119:0.758799:0.000000
q:@0.323178:0.776312:0.331821:0.776312:0.331821:0.757585:0.323178:0.757585:0.000000
»:@0.306685:0.775980:0.321022:0.775980:0.321022:0.757585:0.306685:0.757585:0.000000
θ:@0.293277:0.775745:0.302878:0.775745:0.307443:0.760172:0.297842:0.760172:0.000000
. :@0.332623:0.775296:0.339520:0.775296:0.339520:0.758799:0.332623:0.758799:0.000000:0.000000
Cuando el ángulo es peque-:@0.108241:0.792647:0.335378:0.792647:0.335378:0.776150:0.108241:0.776150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ño, la función seno da un va-:@0.108241:0.809998:0.335376:0.809998:0.335376:0.793500:0.108241:0.793500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lor similar al ángulo (medido :@0.108241:0.827349:0.339499:0.827349:0.339499:0.810851:0.108241:0.810851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en radianes). Además, la tra-:@0.108241:0.844699:0.335416:0.844699:0.335416:0.828202:0.108241:0.828202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
yectoria  que hay  entre  la  po-:@0.108241:0.862050:0.335397:0.862050:0.335397:0.845553:0.108241:0.845553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sición actual y la de reposo se :@0.108241:0.879401:0.339539:0.879401:0.339539:0.862903:0.108241:0.862903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede tomar  como rectilínea :@0.108241:0.896752:0.339545:0.896752:0.339545:0.880254:0.108241:0.880254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al ser una amplitud pequeña :@0.108241:0.914102:0.339555:0.914102:0.339555:0.897605:0.108241:0.897605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.335378:0.914102:0.339520:0.914102:0.339520:0.897605:0.335378:0.897605:0.000000
(Figura 6.20.). Entonces: :@0.108241:0.931453:0.277544:0.931453:0.277544:0.914956:0.108241:0.914956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.610917:0.362485:0.610917:0.316180:0.599449:0.316180:0.599449:0.362485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.610917:0.565602:0.610917:0.519297:0.599449:0.519297:0.599449:0.565602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo editorial:@0.610917:0.913424:0.610917:0.867120:0.599449:0.867120:0.599449:0.913424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
θ:@0.552502:0.796916:0.561230:0.796916:0.561230:0.782759:0.552502:0.782759:0.000000
L:@0.574256:0.828451:0.581326:0.828451:0.581326:0.813853:0.574256:0.813853:0.000000
L:@0.497178:0.811779:0.504248:0.811779:0.504248:0.797182:0.497178:0.797182:0.000000
x:@0.509691:0.864036:0.516442:0.864036:0.516442:0.849439:0.509691:0.849439:0.000000
m.g:@0.448072:0.912396:0.470554:0.912396:0.470554:0.897798:0.448072:0.897798:0.000000:0.000000:0.000000
Las funciones poten-:@0.681678:0.524031:0.817543:0.524031:0.817543:0.508968:0.681678:0.508968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cias son aquellas que tienen la :@0.638512:0.539873:0.836327:0.539873:0.836327:0.524810:0.638512:0.524810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forma::@0.638512:0.555715:0.680024:0.555715:0.680024:0.540652:0.638512:0.540652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
                  f(x) = ax ,:@0.638512:0.575122:0.768665:0.575122:0.768665:0.560058:0.638512:0.560058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.761104:0.569321:0.766232:0.569321:0.766232:0.560539:0.761104:0.560539:0.000000
donde   y   son números reales :@0.638499:0.598092:0.848962:0.598092:0.848962:0.583029:0.638499:0.583029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a n:@0.685095:0.598198:0.716546:0.598198:0.716546:0.583161:0.685095:0.583161:0.000000:0.000000:0.000000
distintos de 0 y   es distinto :@0.638499:0.613934:0.822524:0.613934:0.822524:0.598871:0.638499:0.598871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.740029:0.614040:0.748578:0.614040:0.748578:0.599003:0.740029:0.599003:0.000000
de 1.:@0.638499:0.629776:0.668860:0.629776:0.668860:0.614713:0.638499:0.614713:0.000000:0.000000:0.000000:0.000000:0.000000
Esta función está definida para :@0.638499:0.652747:0.841520:0.652747:0.841520:0.637684:0.638499:0.637684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números reales y su gráfica :@0.638499:0.668589:0.837280:0.668589:0.837280:0.653526:0.638499:0.653526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
depende del exponente.:@0.638499:0.684431:0.795942:0.684431:0.795942:0.669368:0.638499:0.669368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.681163:0.484762:0.783435:0.484762:0.783435:0.468553:0.681163:0.468553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.681163:0.497334:0.769229:0.497334:0.769229:0.481125:0.681163:0.481125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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