133:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
2.:@0.108233:0.096411:0.120505:0.096411:0.120505:0.079697:0.108233:0.079697:0.000000:0.000000
  El Instituto :@0.120506:0.096194:0.214308:0.096194:0.214308:0.079697:0.120506:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ABCD:@0.216273:0.096310:0.258271:0.096310:0.258271:0.079841:0.216273:0.079841:0.000000:0.000000:0.000000:0.000000
 capacita a personal en diferentes áreas, como :@0.258271:0.096194:0.599900:0.096194:0.599900:0.079697:0.258271:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
carpintería, plomería, entre otras. Para evaluar el aprendizaje y des-:@0.131968:0.113545:0.595760:0.113545:0.595760:0.097047:0.131968:0.097047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empeño de sus estudiantes, aplica una función que se define a :@0.131968:0.130896:0.599842:0.130896:0.599842:0.114398:0.131968:0.114398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación::@0.131968:0.148246:0.229334:0.148246:0.229334:0.131749:0.131968:0.131749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.226946:0.183064:0.231242:0.183064:0.231242:0.166595:0.226946:0.166595:0.000000
::@0.231242:0.182948:0.233997:0.182948:0.233997:0.166450:0.231242:0.166450:0.000000
 :@0.108233:0.200299:0.112375:0.200299:0.112375:0.183801:0.108233:0.183801:0.000000
donde ,  ,     :@0.131968:0.224778:0.245168:0.224778:0.245168:0.208281:0.131968:0.208281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.183002:0.224894:0.222226:0.224894:0.222226:0.208425:0.183002:0.208425:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.226374:0.224260:0.241027:0.224260:0.241027:0.210886:0.226374:0.210886:0.000000
:@0.245169:0.223691:0.258474:0.223691:0.258474:0.210829:0.245169:0.210829:0.000000
+:@0.258472:0.217168:0.264773:0.217168:0.264773:0.207550:0.258472:0.207550:0.000000
, tal que   ≥   y 0 <   < 1,     [0, ∞[ no vacío.:@0.264774:0.224778:0.582986:0.224778:0.582986:0.208281:0.264774:0.208281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a c:@0.324959:0.224894:0.360214:0.224894:0.360214:0.208425:0.324959:0.208425:0.000000:0.000000:0.000000
b:@0.403908:0.224894:0.413174:0.224894:0.413174:0.208425:0.403908:0.208425:0.000000
I:@0.447659:0.224894:0.451666:0.224894:0.451666:0.208425:0.447659:0.208425:0.000000
:@0.455803:0.224411:0.471154:0.224411:0.471154:0.210401:0.455803:0.210401:0.000000
 :@0.108235:0.259480:0.112377:0.259480:0.112377:0.242982:0.108235:0.242982:0.000000
En la rama de corte y confección, Juan ha completado el curso :@0.131970:0.259480:0.599903:0.259480:0.599903:0.242982:0.131970:0.242982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
teórico y pasa a la parte práctica. El resultado se mide al final de :@0.131970:0.276831:0.599975:0.276831:0.599975:0.260333:0.131970:0.260333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada semana. En la primera semana, Juan tiene confeccionados 2,5 :@0.131970:0.294181:0.599961:0.294181:0.599961:0.277684:0.131970:0.277684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ternos. En la segunda semana, logra confeccionar 3 ternos y dos:@0.131970:0.311532:0.582461:0.311532:0.582461:0.295034:0.131970:0.295034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.336011:0.112377:0.336011:0.112377:0.319513:0.108235:0.319513:0.000000
tercios de otro. En la tercera semana, alcanza 4 ternos y      de otro.:@0.131970:0.336011:0.595684:0.336011:0.595684:0.319513:0.131970:0.319513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108235:0.370712:0.112377:0.370712:0.112377:0.354214:0.108235:0.354214:0.000000
Calculemos las constantes  ,  ,  . Tracemos la gráfica de esta fun-:@0.131970:0.370712:0.595700:0.370712:0.595700:0.354214:0.131970:0.354214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.323114:0.370828:0.363056:0.370828:0.363056:0.354359:0.323114:0.354359:0.000000:0.000000:0.000000:0.000000:0.000000
ción y analicemos su comportamiento. Tenemos el siguiente siste-:@0.131950:0.388063:0.595802:0.388063:0.595802:0.371565:0.131950:0.371565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ma de ecuaciones::@0.131950:0.405414:0.262511:0.405414:0.262511:0.388916:0.131950:0.388916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.131951:0.440115:0.136093:0.440115:0.136093:0.423617:0.131951:0.423617:0.000000
2,5 =  (1) =   –  , (1);:@0.297381:0.440115:0.454046:0.440115:0.454046:0.423617:0.297381:0.423617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.336220:0.440231:0.340516:0.440231:0.340516:0.423762:0.336220:0.423762:0.000000
a cb:@0.380010:0.440231:0.423992:0.440231:0.423992:0.423762:0.380010:0.423762:0.000000:0.000000:0.000000:0.000000
 :@0.131951:0.471722:0.136093:0.471722:0.136093:0.455225:0.131951:0.455225:0.000000
      =  (2) =   – :@0.294434:0.471722:0.405787:0.471722:0.405787:0.455225:0.294434:0.455225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.334236:0.471838:0.338532:0.471838:0.338532:0.455369:0.334236:0.455369:0.000000
a cb:@0.378026:0.471838:0.422009:0.471838:0.422009:0.455369:0.378026:0.455369:0.000000:0.000000:0.000000:0.000000
2:@0.422027:0.465369:0.426980:0.465369:0.426980:0.455751:0.422027:0.455751:0.000000
, (2);:@0.426979:0.471722:0.457033:0.471722:0.457033:0.455225:0.426979:0.455225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.131971:0.503330:0.136113:0.503330:0.136113:0.486832:0.131971:0.486832:0.000000
      =  (3) =   – :@0.294454:0.503330:0.405808:0.503330:0.405808:0.486832:0.294454:0.486832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.334256:0.503445:0.338553:0.503445:0.338553:0.486977:0.334256:0.486977:0.000000
a cb:@0.378046:0.503445:0.422029:0.503445:0.422029:0.486977:0.378046:0.486977:0.000000:0.000000:0.000000:0.000000
3:@0.422027:0.496977:0.426980:0.496977:0.426980:0.487359:0.422027:0.487359:0.000000
, (3).:@0.426979:0.503328:0.457033:0.503328:0.457033:0.486831:0.426979:0.486831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108236:0.520679:0.112378:0.520679:0.112378:0.504181:0.108236:0.504181:0.000000
 :@0.108236:0.545159:0.112378:0.545159:0.112378:0.528661:0.108236:0.528661:0.000000
De la primera ecuación obtenemos   = 2,5 +  . Reemplazamos :@0.131971:0.545159:0.599903:0.545159:0.599903:0.528661:0.131971:0.528661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.391782:0.545274:0.400760:0.545274:0.400760:0.528806:0.391782:0.528806:0.000000
cb:@0.463160:0.545274:0.479382:0.545274:0.479382:0.528806:0.463160:0.528806:0.000000:0.000000
en (2) y (3)::@0.131971:0.562510:0.213328:0.562510:0.213328:0.546012:0.131971:0.546012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.131971:0.597211:0.136113:0.597211:0.136113:0.580713:0.131971:0.580713:0.000000
      = 2,5 +   – :@0.155706:0.597211:0.269352:0.597211:0.269352:0.580713:0.155706:0.580713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb cb:@0.234347:0.597327:0.285573:0.597327:0.285573:0.580858:0.234347:0.580858:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.285586:0.590858:0.290539:0.590858:0.290539:0.581240:0.285586:0.581240:0.000000
 :@0.290538:0.597210:0.294680:0.597210:0.294680:0.580712:0.290538:0.580712:0.000000
     =   – :@0.345675:0.597210:0.416340:0.597210:0.416340:0.580712:0.345675:0.580712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb cb:@0.381335:0.597325:0.432561:0.597325:0.432561:0.580857:0.381335:0.580857:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.432553:0.590858:0.437506:0.590858:0.437506:0.581240:0.432553:0.581240:0.000000
 =  (1 –  ),    (4):@0.437506:0.597210:0.560997:0.597210:0.560997:0.580712:0.437506:0.580712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb:@0.456598:0.597325:0.472820:0.597325:0.472820:0.580857:0.456598:0.580857:0.000000:0.000000
b:@0.506052:0.597325:0.515319:0.597325:0.515319:0.580857:0.506052:0.580857:0.000000
 :@0.131980:0.631911:0.136122:0.631911:0.136122:0.615414:0.131980:0.615414:0.000000
      = 2,5 +   – :@0.155714:0.631911:0.269360:0.631911:0.269360:0.615414:0.155714:0.615414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb cb:@0.234355:0.632027:0.285581:0.632027:0.285581:0.615558:0.234355:0.615558:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.285586:0.625560:0.290539:0.625560:0.290539:0.615941:0.285586:0.615941:0.000000
 :@0.290538:0.631911:0.294680:0.631911:0.294680:0.615414:0.290538:0.615414:0.000000
     =   – :@0.345675:0.631911:0.410907:0.631911:0.410907:0.615414:0.345675:0.615414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb cb:@0.376711:0.632027:0.426358:0.632027:0.426358:0.615558:0.376711:0.615558:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.426338:0.625560:0.431291:0.625560:0.431291:0.615941:0.426338:0.615941:0.000000
 =  (1 –  )(1 +  ).    (5):@0.431291:0.631911:0.595817:0.631911:0.595817:0.615414:0.431291:0.615414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cb:@0.448842:0.632027:0.465063:0.632027:0.465063:0.615558:0.448842:0.615558:0.000000:0.000000
b:@0.496735:0.632027:0.506002:0.632027:0.506002:0.615558:0.496735:0.615558:0.000000
b:@0.543955:0.632027:0.553221:0.632027:0.553221:0.615558:0.543955:0.615558:0.000000
 :@0.108231:0.684426:0.112373:0.684426:0.112373:0.667929:0.108231:0.667929:0.000000
De (4) obtenemos   =                 , y en (5)::@0.131966:0.684426:0.422870:0.684426:0.422870:0.667929:0.131966:0.667929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.266609:0.684542:0.273795:0.684542:0.273795:0.668073:0.266609:0.668073:0.000000
 :@0.108231:0.733384:0.112373:0.733384:0.112373:0.716887:0.108231:0.716887:0.000000
      =                   (1 –  )(1 +  ) =      (1 +  ),:@0.131966:0.733384:0.442291:0.733384:0.442291:0.716887:0.131966:0.716887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.244495:0.733500:0.253761:0.733500:0.253761:0.717031:0.244495:0.717031:0.000000
b:@0.286994:0.733500:0.296260:0.733500:0.296260:0.717031:0.286994:0.717031:0.000000
b:@0.335754:0.733500:0.345021:0.733500:0.345021:0.717031:0.335754:0.717031:0.000000
b:@0.424316:0.733500:0.433583:0.733500:0.433583:0.717031:0.424316:0.717031:0.000000
 :@0.108231:0.750735:0.112373:0.750735:0.112373:0.734237:0.108231:0.734237:0.000000
 :@0.108231:0.778772:0.112373:0.778772:0.112373:0.762274:0.108231:0.762274:0.000000
de donde   =     . Con este valor calculamos   y  .:@0.131966:0.778772:0.481359:0.778772:0.481359:0.762274:0.131966:0.762274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.205001:0.778887:0.214267:0.778887:0.214267:0.762419:0.205001:0.762419:0.000000
a c:@0.446335:0.778887:0.478604:0.778887:0.478604:0.762419:0.446335:0.762419:0.000000:0.000000:0.000000
 :@0.108231:0.831287:0.112373:0.831287:0.112373:0.814789:0.108231:0.814789:0.000000
c:@0.131966:0.831402:0.139152:0.831402:0.139152:0.814933:0.131966:0.814933:0.000000
 =                  =                    =      ,   = 2,5 +   = 2,5 +       ×      = 6.:@0.139152:0.831287:0.593003:0.831287:0.593003:0.814789:0.139152:0.814789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.364864:0.831402:0.373841:0.831402:0.373841:0.814933:0.364864:0.814933:0.000000
bc:@0.431772:0.831402:0.448359:0.831402:0.448359:0.814933:0.431772:0.814933:0.000000:0.000000
 :@0.108231:0.890466:0.112373:0.890466:0.112373:0.873969:0.108231:0.873969:0.000000
El conjunto   es el intervalo [1, ∞[. La función   está definida como::@0.131966:0.890466:0.595793:0.890466:0.595793:0.873969:0.131966:0.873969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.216810:0.890582:0.220818:0.890582:0.220818:0.874113:0.216810:0.874113:0.000000
f:@0.449415:0.890582:0.453711:0.890582:0.453711:0.874113:0.449415:0.874113:0.000000
f t:@0.243339:0.925284:0.259252:0.925284:0.259252:0.908815:0.243339:0.908815:0.000000:0.000000:0.000000
( ) = 6 –                ,       [1, ∞[.:@0.247635:0.925168:0.460662:0.925188:0.460662:0.908690:0.247635:0.908670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.388888:0.925284:0.394552:0.925284:0.394552:0.908815:0.388888:0.908815:0.000000
:@0.398693:0.924669:0.413345:0.924669:0.413345:0.911296:0.398693:0.911296:0.000000
Recuerda que…:@0.684804:0.128161:0.794564:0.128161:0.794564:0.112689:0.684804:0.112689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para la función obtenida :@0.685042:0.156789:0.847167:0.156789:0.847167:0.141725:0.685042:0.141725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el problema dos::@0.638498:0.172631:0.765514:0.172631:0.765514:0.157567:0.638498:0.157567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f t:@0.638498:0.195707:0.653028:0.195707:0.653028:0.180670:0.638498:0.180670:0.000000:0.000000:0.000000
( ) = 6 –                 ,     [1, ∞[,:@0.642421:0.195601:0.833721:0.195601:0.833721:0.180538:0.642421:0.180538:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.767609:0.195707:0.772781:0.195707:0.772781:0.180670:0.767609:0.180670:0.000000
:@0.776565:0.195253:0.790520:0.195253:0.790520:0.182516:0.776565:0.182516:0.000000
podemos definir la función   :@0.638507:0.222137:0.826593:0.222137:0.826593:0.207074:0.638507:0.207074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.818889:0.222242:0.822811:0.222242:0.822811:0.207206:0.818889:0.207206:0.000000
en el intervalo [0, ∞[. Tenemos :@0.638507:0.237979:0.839840:0.237979:0.839840:0.222916:0.638507:0.222916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.638507:0.253926:0.642429:0.253926:0.642429:0.238890:0.638507:0.238890:0.000000
(0) = 0,75.:@0.642429:0.253821:0.706791:0.253821:0.706791:0.238758:0.642429:0.238758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para   suficientemente grande, :@0.638507:0.276792:0.838398:0.276792:0.838398:0.261729:0.638507:0.261729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.669993:0.276897:0.675164:0.276897:0.675164:0.261861:0.669993:0.261861:0.000000
                es suficientemente:@0.638507:0.299763:0.820104:0.299763:0.820104:0.284699:0.638507:0.284699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño, con lo que   tiene una :@0.638507:0.322733:0.848530:0.322733:0.848530:0.307670:0.638507:0.307670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.776184:0.322839:0.780106:0.322839:0.780106:0.307802:0.776184:0.307802:0.000000
asíntota horizontal.:@0.638507:0.338575:0.763306:0.338575:0.763306:0.323512:0.638507:0.323512:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La gráfica de esta función se :@0.638507:0.361546:0.824535:0.361546:0.824535:0.346483:0.638507:0.346483:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra en la Figura 4.11.:@0.638507:0.377388:0.801285:0.377388:0.801285:0.362325:0.638507:0.362325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
H:@0.638507:0.578291:0.648885:0.578291:0.648885:0.563254:0.638507:0.563254:0.000000
 = {( , 6) |     [1, ∞[}:@0.648885:0.578186:0.782833:0.578179:0.782833:0.563116:0.648885:0.563122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.677099:0.578291:0.682271:0.578291:0.682271:0.563254:0.677099:0.563254:0.000000
t:@0.713898:0.578291:0.719069:0.578291:0.719069:0.563254:0.713898:0.563254:0.000000
:@0.722845:0.577830:0.736800:0.577830:0.736800:0.565094:0.722845:0.565094:0.000000
Calculemos  (8).:@0.638507:0.601150:0.743025:0.601150:0.743025:0.586087:0.638507:0.586087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.717959:0.601256:0.721882:0.601256:0.721882:0.586219:0.717959:0.586219:0.000000
f:@0.638507:0.624227:0.642429:0.624227:0.642429:0.609190:0.638507:0.609190:0.000000
(8) = 6 –                   5,74,:@0.642429:0.624121:0.808500:0.624119:0.808500:0.609055:0.642429:0.609058:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≃:@0.763900:0.631001:0.776414:0.631001:0.776414:0.613729:0.763900:0.613729:0.000000
que muestra que, a partir de la :@0.638510:0.647089:0.839983:0.647089:0.839983:0.632026:0.638510:0.632026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
octava semana, puede con-:@0.638510:0.662931:0.817084:0.662931:0.817084:0.647868:0.638510:0.647868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
feccionar aproximadamente 6 :@0.638510:0.678773:0.836013:0.678773:0.836013:0.663710:0.638510:0.663710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ternos semanales.:@0.638510:0.694615:0.752441:0.694615:0.752441:0.679552:0.638510:0.679552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.248839:0.176703:0.252846:0.176703:0.252846:0.160234:0.248839:0.160234:0.000000
   [0, ∞[:@0.252846:0.176587:0.317693:0.176587:0.317693:0.160090:0.252846:0.160090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.256988:0.184686:0.273133:0.184686:0.273133:0.164823:0.256988:0.164823:0.000000
t:@0.248839:0.194054:0.254503:0.194054:0.254503:0.177585:0.248839:0.177585:0.000000
    ( ) =   – :@0.254503:0.193938:0.347651:0.193938:0.347651:0.177440:0.254503:0.177440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.258645:0.202037:0.274790:0.202037:0.274790:0.182174:0.258645:0.182174:0.000000
f t:@0.278932:0.194054:0.294845:0.194054:0.294845:0.177585:0.278932:0.177585:0.000000:0.000000:0.000000
a cb ,:@0.319890:0.194054:0.370195:0.194054:0.370195:0.177585:0.319890:0.177585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.363829:0.187654:0.367131:0.187654:0.367131:0.178053:0.363829:0.178053:0.000000
4:@0.525656:0.328924:0.534152:0.328924:0.534152:0.312427:0.525656:0.312427:0.000000
9:@0.525656:0.345263:0.534152:0.345263:0.534152:0.328765:0.525656:0.328765:0.000000
11:@0.296706:0.464343:0.313698:0.464343:0.313698:0.447846:0.296706:0.447846:0.000000:0.000000
3:@0.300944:0.480682:0.309440:0.480682:0.309440:0.464184:0.300944:0.464184:0.000000
11:@0.155994:0.589833:0.172986:0.589833:0.172986:0.573336:0.155994:0.573336:0.000000:0.000000
3:@0.160232:0.606172:0.168728:0.606172:0.168728:0.589674:0.160232:0.589674:0.000000
40:@0.155994:0.624073:0.172986:0.624073:0.172986:0.607576:0.155994:0.607576:0.000000:0.000000
9:@0.160232:0.640412:0.168728:0.640412:0.168728:0.623914:0.160232:0.623914:0.000000
b:@0.296388:0.693113:0.305654:0.693113:0.305654:0.676644:0.296388:0.676644:0.000000
(1 –  ):@0.305654:0.692997:0.354106:0.692997:0.354106:0.676500:0.305654:0.676500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.338887:0.693113:0.348153:0.693113:0.348153:0.676644:0.338887:0.676644:0.000000
b:@0.177895:0.742247:0.187161:0.742247:0.187161:0.725778:0.177895:0.725778:0.000000
(1 –  ):@0.187161:0.742131:0.235613:0.742131:0.235613:0.725634:0.187161:0.725634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.220394:0.742247:0.229660:0.742247:0.229660:0.725778:0.220394:0.725778:0.000000
35:@0.339572:0.624073:0.356564:0.624073:0.356564:0.607576:0.339572:0.607576:0.000000:0.000000
18:@0.339572:0.640412:0.356564:0.640412:0.356564:0.623914:0.339572:0.623914:0.000000:0.000000
7:@0.346194:0.589833:0.354690:0.589833:0.354690:0.573336:0.346194:0.573336:0.000000
6:@0.346194:0.606172:0.354690:0.606172:0.354690:0.589674:0.346194:0.589674:0.000000
40:@0.295664:0.496321:0.312656:0.496321:0.312656:0.479824:0.295664:0.479824:0.000000:0.000000
9:@0.299902:0.512660:0.308398:0.512660:0.308398:0.496162:0.299902:0.496162:0.000000
21 2:@0.313229:0.917577:0.355858:0.917577:0.355858:0.901079:0.313229:0.901079:0.000000:0.000000:0.000000:0.000000
4:@0.317467:0.933916:0.325963:0.933916:0.325963:0.917418:0.317467:0.917418:0.000000
⇔:@0.300946:0.612230:0.318402:0.612230:0.318402:0.596828:0.300946:0.596828:0.000000
35:@0.135350:0.725786:0.152342:0.725786:0.152342:0.709289:0.135350:0.709289:0.000000:0.000000
18:@0.135350:0.742125:0.152342:0.742125:0.152342:0.725627:0.135350:0.725627:0.000000:0.000000
7:@0.200830:0.710146:0.209326:0.710146:0.209326:0.693648:0.200830:0.693648:0.000000
6:@0.200830:0.726484:0.209326:0.726484:0.209326:0.709987:0.200830:0.709987:0.000000
7:@0.376045:0.725786:0.384541:0.725786:0.384541:0.709289:0.376045:0.709289:0.000000
6:@0.376045:0.742125:0.384541:0.742125:0.384541:0.725627:0.376045:0.725627:0.000000
7:@0.320999:0.661089:0.329495:0.661089:0.329495:0.644592:0.320999:0.644592:0.000000
6:@0.320999:0.677428:0.329495:0.677428:0.329495:0.660930:0.320999:0.660930:0.000000
2:@0.237686:0.771098:0.246182:0.771098:0.246182:0.754601:0.237686:0.754601:0.000000
3:@0.237686:0.787437:0.246182:0.787437:0.246182:0.770939:0.237686:0.770939:0.000000
b:@0.161651:0.840420:0.170918:0.840420:0.170918:0.823951:0.161651:0.823951:0.000000
(1 –  ):@0.170918:0.840304:0.219370:0.840304:0.219370:0.823806:0.170918:0.823806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.204151:0.840420:0.213417:0.840420:0.213417:0.823951:0.204151:0.823951:0.000000
7:@0.184587:0.808319:0.193083:0.808319:0.193083:0.791822:0.184587:0.791822:0.000000
6:@0.184587:0.824658:0.193083:0.824658:0.193083:0.808160:0.184587:0.808160:0.000000
7:@0.276124:0.808319:0.284620:0.808319:0.284620:0.791822:0.276124:0.791822:0.000000
6:@0.276124:0.824658:0.284620:0.824658:0.284620:0.808160:0.276124:0.808160:0.000000
2:@0.250257:0.841159:0.258752:0.841159:0.258752:0.824661:0.250257:0.824661:0.000000
3:@0.250257:0.857498:0.258752:0.857498:0.258752:0.841000:0.250257:0.841000:0.000000
2:@0.299090:0.841159:0.307586:0.841159:0.307586:0.824661:0.299090:0.824661:0.000000
3:@0.299090:0.857498:0.307586:0.857498:0.307586:0.841000:0.299090:0.841000:0.000000
1 – :@0.269899:0.848635:0.297178:0.848635:0.297178:0.832137:0.269899:0.832137:0.000000:0.000000:0.000000:0.000000
21:@0.338265:0.823780:0.355257:0.823780:0.355257:0.807283:0.338265:0.807283:0.000000:0.000000
4:@0.342504:0.840119:0.351000:0.840119:0.351000:0.823621:0.342504:0.823621:0.000000
2:@0.550362:0.823780:0.558858:0.823780:0.558858:0.807283:0.550362:0.807283:0.000000
3:@0.550362:0.840119:0.558858:0.840119:0.558858:0.823621:0.550362:0.823621:0.000000
21:@0.507702:0.823780:0.524694:0.823780:0.524694:0.807283:0.507702:0.807283:0.000000:0.000000
4:@0.511941:0.840119:0.520437:0.840119:0.520437:0.823621:0.511941:0.823621:0.000000
3:@0.347362:0.933916:0.355858:0.933916:0.355858:0.917418:0.347362:0.917418:0.000000
t:@0.366419:0.912802:0.370296:0.912802:0.370296:0.901530:0.366419:0.901530:0.000000
21 2:@0.703055:0.188723:0.741975:0.188723:0.741975:0.173660:0.703055:0.173660:0.000000:0.000000:0.000000:0.000000
4:@0.706925:0.203640:0.714682:0.203640:0.714682:0.188577:0.706925:0.188577:0.000000
3:@0.734218:0.203640:0.741975:0.203640:0.741975:0.188577:0.734218:0.188577:0.000000
t:@0.751763:0.182985:0.754778:0.182985:0.754778:0.174219:0.751763:0.174219:0.000000
21 2:@0.640487:0.292666:0.679407:0.292666:0.679407:0.277604:0.640487:0.277604:0.000000:0.000000:0.000000:0.000000
4:@0.644356:0.307583:0.652113:0.307583:0.652113:0.292521:0.644356:0.292521:0.000000
3:@0.671650:0.307583:0.679407:0.307583:0.679407:0.292521:0.671650:0.292521:0.000000
t:@0.689194:0.286929:0.692209:0.286929:0.692209:0.278162:0.689194:0.278162:0.000000
27 2:@0.705908:0.617085:0.744830:0.617085:0.744830:0.602023:0.705908:0.602023:0.000000:0.000000:0.000000:0.000000
4:@0.709778:0.632002:0.717535:0.632002:0.717535:0.616940:0.709778:0.616940:0.000000
3:@0.737073:0.632002:0.744830:0.632002:0.744830:0.616940:0.737073:0.616940:0.000000
8:@0.754616:0.611286:0.759138:0.611286:0.759138:0.602504:0.754616:0.602504:0.000000
p:@0.639192:0.548704:0.650672:0.548704:0.650672:0.538679:0.639192:0.538679:0.000000
 :@0.650672:0.549412:0.653554:0.549412:0.653554:0.537935:0.650672:0.537935:0.000000
Figura 4.11.:@0.653554:0.549412:0.708033:0.549412:0.708033:0.537935:0.653554:0.537935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.655341:0.525825:0.661251:0.525825:0.661251:0.514348:0.655341:0.514348:0.000000
x:@0.830303:0.527303:0.835503:0.527303:0.835503:0.515847:0.830303:0.515847:0.000000
1 2 3 4 5 6 7:@0.679786:0.528359:0.785407:0.528359:0.785407:0.516883:0.679786:0.516883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.652567:0.506492:0.658477:0.506492:0.658477:0.495016:0.652567:0.495016:0.000000
2:@0.652567:0.492240:0.658477:0.492240:0.658477:0.480763:0.652567:0.480763:0.000000
3:@0.652567:0.477987:0.658477:0.477987:0.658477:0.466510:0.652567:0.466510:0.000000
4:@0.652567:0.463734:0.658477:0.463734:0.658477:0.452257:0.652567:0.452257:0.000000
5:@0.652567:0.449481:0.658477:0.449481:0.658477:0.438005:0.652567:0.438005:0.000000
6:@0.652567:0.435229:0.658477:0.435229:0.658477:0.423752:0.652567:0.423752:0.000000
7:@0.652567:0.420976:0.658477:0.420976:0.658477:0.409499:0.652567:0.409499:0.000000
y:@0.653636:0.403063:0.658983:0.403063:0.658983:0.391607:0.653636:0.391607:0.000000
asíntota H:@0.736992:0.429019:0.794663:0.429019:0.794663:0.416108:0.736992:0.416108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f t:@0.749974:0.455237:0.783385:0.455237:0.783385:0.442349:0.749974:0.442349:0.000000:0.000000:0.000000:0.000000:0.000000
 =  ( ):@0.755990:0.455147:0.788044:0.455147:0.788044:0.442236:0.755990:0.442236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.685504:0.736154:0.832289:0.736154:0.832289:0.720682:0.685504:0.720682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Pintura:@0.685742:0.765204:0.827744:0.765204:0.827744:0.749732:0.685742:0.749732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En 1525 el pintor y grabador :@0.639199:0.780624:0.826388:0.780624:0.826388:0.765561:0.639199:0.765561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alemán Alberto Durero, publicó :@0.639199:0.796466:0.848852:0.796466:0.848852:0.781403:0.639199:0.781403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el primer libro de Matemáticas :@0.639199:0.812308:0.842449:0.812308:0.842449:0.797244:0.639199:0.797244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en alemán: \Los cuatro libros de :@0.639199:0.828150:0.847060:0.828150:0.847060:0.813086:0.639199:0.813086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la medida\. Estudió matemáti-:@0.639199:0.843992:0.834024:0.843992:0.834024:0.828928:0.639199:0.828928:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cas y geometría, porque pen-:@0.639199:0.859834:0.828114:0.859834:0.828114:0.844770:0.639199:0.844770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saba que eran indispensables :@0.639199:0.875676:0.829924:0.875676:0.829924:0.860612:0.639199:0.860612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para el estudio de las artes. En :@0.639199:0.891518:0.835781:0.891518:0.835781:0.876454:0.639199:0.876454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus cuadros y grabados aplicó la :@0.639199:0.907360:0.849063:0.907360:0.849063:0.892296:0.639199:0.892296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perspectiva y los principios de :@0.639199:0.923202:0.837927:0.923202:0.837927:0.908138:0.639199:0.908138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Euclides. :@0.639199:0.939044:0.697983:0.939044:0.697983:0.923980:0.639199:0.923980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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