75:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
Taller:@0.180758:0.130781:0.241652:0.130781:0.241652:0.096834:0.180758:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconoce funciones polinomiales de grado n, opera con funciones polinomiales de grado ≤4 y racionales de grado ≤3; plantea :@0.261777:0.108245:0.882576:0.108245:0.882576:0.097816:0.261777:0.097816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modelos matemáticos para resolver problemas aplicados a la informática; emplea el teorema de Hörner y el teorema del residuo para :@0.261777:0.118806:0.882661:0.118806:0.882661:0.108377:0.261777:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorizar polinomios. (Ref. I.M.5.3.3.):@0.261777:0.129367:0.428892:0.129367:0.428892:0.118938:0.261777:0.118938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.120121:0.172018:0.138861:0.172018:0.138861:0.154882:0.120121:0.154882:0.000000:0.000000:0.000000
Resuelve:@0.153364:0.172018:0.221526:0.172018:0.221526:0.155394:0.153364:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los siguientes problemas.:@0.221526:0.172018:0.410369:0.172018:0.410369:0.155629:0.221526:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A) :@0.153364:0.202887:0.174187:0.202887:0.174187:0.185986:0.153364:0.185986:0.000000:0.000000:0.000000
Una caja abierta con volumen de 1 500 cm:@0.186607:0.202887:0.487052:0.202887:0.487052:0.186498:0.186607:0.186498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.487080:0.196836:0.494676:0.196836:0.494676:0.187281:0.487080:0.187281:0.000000:0.000000
ha de construirse tomando una pieza de :@0.186602:0.219479:0.496314:0.219479:0.496314:0.203091:0.186602:0.203091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cartón de 20 cm por 40 cm, cortando cua-:@0.186602:0.236076:0.492321:0.236076:0.492321:0.219687:0.186602:0.219687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
drados de longitud   cm de cada esquina :@0.186602:0.252672:0.496351:0.252672:0.496351:0.236283:0.186602:0.236283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.332199:0.252672:0.339662:0.252672:0.339662:0.236311:0.332199:0.236311:0.000000
y doblando los lados hacia arriba, como se :@0.186602:0.269269:0.496388:0.269269:0.496388:0.252880:0.186602:0.252880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ve en la figura.:@0.186602:0.285865:0.292672:0.285865:0.292672:0.269476:0.186602:0.269476:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
40 cm:@0.232414:0.305113:0.261206:0.305113:0.261206:0.295160:0.232414:0.295160:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.310913:0.320406:0.315653:0.320406:0.315653:0.310629:0.310913:0.310629:0.000000
20 cm:@0.155857:0.341883:0.184649:0.341883:0.184649:0.331930:0.155857:0.331930:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.464233:0.353060:0.468973:0.353060:0.468973:0.343283:0.464233:0.343283:0.000000
a) :@0.153362:0.400023:0.172085:0.400023:0.172085:0.383122:0.153362:0.383122:0.000000:0.000000:0.000000
Calcula:@0.186606:0.400023:0.242036:0.400023:0.242036:0.383399:0.186606:0.383399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el volumen en función de .:@0.242036:0.400023:0.448665:0.400023:0.448665:0.383634:0.242036:0.383634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.434679:0.400023:0.445459:0.400023:0.445459:0.383662:0.434679:0.383662:0.000000:0.000000
b) :@0.153362:0.420187:0.173393:0.420187:0.173393:0.403287:0.153362:0.403287:0.000000:0.000000:0.000000
Traza:@0.186606:0.420187:0.226520:0.420187:0.226520:0.403563:0.186606:0.403563:0.000000:0.000000:0.000000:0.000000:0.000000
 la gráfica de la función.:@0.226520:0.420187:0.398837:0.420187:0.398837:0.403799:0.226520:0.403799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153362:0.440352:0.170998:0.440352:0.170998:0.423451:0.153362:0.423451:0.000000:0.000000:0.000000
Estima:@0.186606:0.440352:0.237632:0.440352:0.237632:0.423728:0.186606:0.423728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el volumen máximo.:@0.237632:0.440352:0.391169:0.440352:0.391169:0.423963:0.237632:0.423963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153362:0.726847:0.157177:0.726847:0.157177:0.709946:0.153362:0.709946:0.000000
B) :@0.153362:0.754591:0.173338:0.754591:0.173338:0.737690:0.153362:0.737690:0.000000:0.000000:0.000000
Un analista de mercado, que trabaja para :@0.186606:0.754591:0.496336:0.754591:0.496336:0.738202:0.186606:0.738202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un fabricante de electrodomésticos, :@0.186606:0.771187:0.463975:0.771187:0.463975:0.754798:0.186606:0.754798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en-:@0.467218:0.771187:0.492335:0.771187:0.492335:0.754563:0.467218:0.754563:0.000000:0.000000:0.000000
cuentra:@0.186606:0.787783:0.245316:0.787783:0.245316:0.771159:0.186606:0.771159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que, si la compañía produce y :@0.245316:0.787783:0.496319:0.787783:0.496319:0.771394:0.245316:0.771394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vende  “x” licuadoras al año, su utilidad :@0.186606:0.804380:0.496356:0.804380:0.496356:0.787991:0.186606:0.787991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.492320:0.804380:0.496356:0.804380:0.496356:0.787991:0.492320:0.787991:0.000000
total (en dólares) es::@0.186606:0.820976:0.332735:0.820976:0.332735:0.804587:0.186606:0.804587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153362:0.841141:0.157177:0.841141:0.157177:0.824240:0.153362:0.824240:0.000000
P x:@0.186606:0.841141:0.207724:0.841141:0.207724:0.824779:0.186606:0.824779:0.000000:0.000000:0.000000
( ) = 8  + 0,3  – 0,0013  – 372:@0.195377:0.841141:0.423488:0.841137:0.423488:0.824748:0.195377:0.824752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.240654:0.841141:0.248117:0.841141:0.248117:0.824779:0.240654:0.824779:0.000000
x:@0.288363:0.841141:0.295826:0.841141:0.295826:0.824779:0.288363:0.824779:0.000000
2:@0.295821:0.835090:0.301064:0.835090:0.301064:0.825535:0.295821:0.825535:0.000000
x:@0.366520:0.841137:0.373983:0.841137:0.373983:0.824776:0.366520:0.824776:0.000000
3:@0.373981:0.835090:0.379224:0.835090:0.379224:0.825535:0.373981:0.825535:0.000000
 :@0.153357:0.861301:0.157393:0.861301:0.157393:0.844913:0.153357:0.844913:0.000000
Grafica:@0.186601:0.861301:0.240096:0.861301:0.240096:0.844677:0.186601:0.844677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la función y :@0.240096:0.861301:0.332861:0.861301:0.332861:0.844913:0.240096:0.844913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
responde:@0.332861:0.861301:0.405687:0.861301:0.405687:0.844677:0.332861:0.844677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.405687:0.861301:0.408893:0.861301:0.408893:0.844913:0.405687:0.844913:0.000000
a) :@0.153357:0.881466:0.172080:0.881466:0.172080:0.864565:0.153357:0.864565:0.000000:0.000000:0.000000
Cuando se fabrican solo unas cuantas  :@0.186601:0.881466:0.496351:0.881466:0.496351:0.865077:0.186601:0.865077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
licuadoras, la compañía pierde dinero (utili-:@0.186601:0.898062:0.492317:0.898062:0.492317:0.881674:0.186601:0.881674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dad negativa). (Por ejemplo,  (10) = – 263,3 :@0.186601:0.914659:0.496351:0.914659:0.496351:0.898270:0.186601:0.898270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.388420:0.914659:0.397192:0.914659:0.397192:0.898298:0.388420:0.898298:0.000000
Shutterstock, 604193006.:@0.138213:0.387040:0.138213:0.299215:0.124317:0.299215:0.124317:0.387040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de modo que la compañía pierde $263,30 :@0.578907:0.171182:0.888657:0.171182:0.888657:0.154793:0.578907:0.154793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
si produce y vende solo 10 licuadoras.) :@0.578907:0.187778:0.888657:0.187778:0.888657:0.171389:0.578907:0.171389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuántas licuadoras debe producir la com-:@0.578907:0.204374:0.884640:0.204374:0.884640:0.187985:0.578907:0.187985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pañía para alcanzar el punto de equilibrio :@0.578907:0.220971:0.888712:0.220971:0.888712:0.204582:0.578907:0.204582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(no pierde ni gana)?:@0.578907:0.237567:0.722550:0.237567:0.722550:0.221178:0.578907:0.221178:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.545663:0.265311:0.565694:0.265311:0.565694:0.248410:0.545663:0.248410:0.000000:0.000000:0.000000
¿La ganancia se incrementa infinitamen-:@0.578907:0.265311:0.884658:0.265311:0.884658:0.248922:0.578907:0.248922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te entre más licuadoras se produzcan y se :@0.578907:0.281907:0.888681:0.281907:0.888681:0.265518:0.578907:0.265518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vendan? :@0.578907:0.298503:0.645246:0.298503:0.645246:0.282114:0.578907:0.282114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.545663:0.318668:0.563299:0.318668:0.563299:0.301767:0.545663:0.301767:0.000000:0.000000:0.000000
Si no es así ¿cuál es la mayor ganancia :@0.578907:0.318668:0.888675:0.318668:0.888675:0.302279:0.578907:0.302279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884640:0.318668:0.888675:0.318668:0.888675:0.302279:0.884640:0.302279:0.000000
posible que la firma puede tener?:@0.578907:0.335264:0.825373:0.335264:0.825373:0.318875:0.578907:0.318875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545663:0.574349:0.549478:0.574349:0.549478:0.557448:0.545663:0.557448:0.000000
C) :@0.545667:0.607119:0.566103:0.607119:0.566103:0.590219:0.545667:0.590219:0.000000:0.000000:0.000000
Una caja de cartón tie-:@0.578910:0.607119:0.762965:0.607119:0.762965:0.590730:0.578910:0.590730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ne base cuadrada, con :@0.578910:0.623716:0.766983:0.623716:0.766983:0.607327:0.578910:0.607327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada arista de la caja con :@0.578910:0.640312:0.766964:0.640312:0.766964:0.623923:0.578910:0.623923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
longitud de “x” pulgadas, :@0.578910:0.656908:0.767012:0.656908:0.767012:0.640519:0.578910:0.640519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como se ve en la figura. :@0.578910:0.673505:0.766964:0.673505:0.766964:0.657116:0.578910:0.657116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La longitud total de las :@0.578910:0.690101:0.767019:0.690101:0.767019:0.673712:0.578910:0.673712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.762965:0.690101:0.767001:0.690101:0.767001:0.673712:0.762965:0.673712:0.000000
12 aristas de la caja es de :@0.578910:0.706697:0.766964:0.706697:0.766964:0.690309:0.578910:0.690309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
144 pulgadas.:@0.578910:0.723294:0.680445:0.723294:0.680445:0.706905:0.578910:0.706905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545667:0.751037:0.564389:0.751037:0.564389:0.734137:0.545667:0.734137:0.000000:0.000000:0.000000
Encuentra:@0.578910:0.751037:0.656914:0.751037:0.656914:0.734413:0.578910:0.734413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el volumen de la caja en fun-:@0.656914:0.751037:0.884661:0.751037:0.884661:0.734649:0.656914:0.734649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de las aristas.:@0.578910:0.767634:0.709468:0.767634:0.709468:0.751245:0.578910:0.751245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.545667:0.787798:0.565697:0.787798:0.565697:0.770898:0.545667:0.770898:0.000000:0.000000:0.000000
¿Cuál es el dominio de la función?:@0.578910:0.787798:0.828033:0.787798:0.828033:0.771409:0.578910:0.771409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.545667:0.807963:0.563302:0.807963:0.563302:0.791062:0.545667:0.791062:0.000000:0.000000:0.000000
Grafica:@0.578910:0.807963:0.632406:0.807963:0.632406:0.791339:0.578910:0.791339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en tu cuaderno y :@0.632406:0.807963:0.771166:0.807963:0.771166:0.791574:0.632406:0.791574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estima:@0.772566:0.807963:0.823758:0.807963:0.823758:0.791339:0.772566:0.791339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el volu-:@0.823758:0.807963:0.884661:0.807963:0.884661:0.791574:0.823758:0.791574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
men máximo para esa caja.:@0.578910:0.824559:0.777689:0.824559:0.777689:0.808170:0.578910:0.808170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545667:0.924912:0.549481:0.924912:0.549481:0.908011:0.545667:0.908011:0.000000
x:@0.808212:0.701616:0.813166:0.701616:0.813166:0.691399:0.808212:0.691399:0.000000
x:@0.865234:0.694189:0.870188:0.694189:0.870188:0.683972:0.865234:0.683972:0.000000
200:@0.215432:0.684115:0.235052:0.684115:0.235052:0.672196:0.215432:0.672196:0.000000:0.000000:0.000000
0:@0.233703:0.710077:0.239590:0.710077:0.239590:0.699350:0.233703:0.699350:0.000000
f:@0.248023:0.716049:0.251535:0.716049:0.251535:0.704130:0.248023:0.704130:0.000000
4:@0.295667:0.716049:0.302207:0.716049:0.302207:0.704130:0.295667:0.704130:0.000000
10:@0.376856:0.716049:0.389936:0.716049:0.389936:0.704130:0.376856:0.704130:0.000000:0.000000
2:@0.268569:0.716049:0.275109:0.716049:0.275109:0.704130:0.268569:0.704130:0.000000
8:@0.351446:0.716049:0.357986:0.716049:0.357986:0.704130:0.351446:0.704130:0.000000
6:@0.324388:0.716049:0.330928:0.716049:0.330928:0.704130:0.324388:0.704130:0.000000
1000:@0.210163:0.592934:0.236324:0.592934:0.236324:0.581015:0.210163:0.581015:0.000000:0.000000:0.000000:0.000000
600:@0.215417:0.639092:0.235037:0.639092:0.235037:0.627173:0.215417:0.627173:0.000000:0.000000:0.000000
1400:@0.210163:0.548285:0.236324:0.548285:0.236324:0.536366:0.210163:0.536366:0.000000:0.000000:0.000000:0.000000
400:@0.215417:0.661603:0.235037:0.661603:0.235037:0.649684:0.215417:0.649684:0.000000:0.000000:0.000000
1200:@0.210163:0.571238:0.236324:0.571238:0.236324:0.559319:0.210163:0.559319:0.000000:0.000000:0.000000:0.000000
800:@0.215417:0.616582:0.235037:0.616582:0.235037:0.604662:0.215417:0.604662:0.000000:0.000000:0.000000
1600:@0.210163:0.525895:0.236324:0.525895:0.236324:0.513976:0.210163:0.513976:0.000000:0.000000:0.000000:0.000000
y:@0.239902:0.509973:0.245343:0.509973:0.245343:0.498074:0.239902:0.498074:0.000000
x:@0.402440:0.706363:0.407868:0.706363:0.407868:0.694464:0.402440:0.694464:0.000000
4:@0.257676:0.475580:0.266669:0.475580:0.266669:0.459191:0.257676:0.459191:0.000000
–120:@0.287105:0.475580:0.324237:0.475580:0.324237:0.459191:0.287105:0.459191:0.000000:0.000000:0.000000:0.000000
800 ; 0:@0.355877:0.475580:0.415504:0.475580:0.415504:0.459191:0.355877:0.459191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
...:@0.397376:0.475580:0.406664:0.475580:0.406664:0.459191:0.397376:0.459191:0.000000:0.000000:0.000000
10:@0.455566:0.475580:0.473352:0.475580:0.473352:0.459191:0.455566:0.459191:0.000000:0.000000
1540:@0.274315:0.499465:0.309677:0.499465:0.309677:0.483076:0.274315:0.483076:0.000000:0.000000:0.000000:0.000000
.:@0.309493:0.499465:0.312699:0.499465:0.312699:0.483076:0.309493:0.483076:0.000000
3:@0.277779:0.467919:0.282991:0.467919:0.282991:0.458421:0.277779:0.458421:0.000000
2:@0.335001:0.467919:0.340212:0.467919:0.340212:0.458421:0.335001:0.458421:0.000000
3:@0.335417:0.491805:0.340629:0.491805:0.340629:0.482307:0.335417:0.482307:0.000000
():@0.218412:0.478713:0.241612:0.478713:0.241612:0.458780:0.218412:0.458780:0.000000:0.000000
():@0.235846:0.502602:0.259047:0.502602:0.259047:0.482669:0.235846:0.482669:0.000000:0.000000
=:@0.244274:0.476258:0.254391:0.476258:0.254391:0.460685:0.244274:0.460685:0.000000
+:@0.343747:0.476258:0.353863:0.476258:0.353863:0.460685:0.343747:0.460685:0.000000
<<:@0.418397:0.476258:0.454165:0.476258:0.454165:0.460685:0.418397:0.460685:0.000000:0.000000
≈:@0.262075:0.500143:0.272192:0.500143:0.272192:0.484570:0.262075:0.484570:0.000000
Vx:@0.205797:0.475580:0.233789:0.475580:0.233789:0.459219:0.205797:0.459219:0.000000:0.000000
x:@0.268672:0.475580:0.276136:0.475580:0.276136:0.459219:0.268672:0.459219:0.000000
x:@0.325890:0.475580:0.333353:0.475580:0.333353:0.459219:0.325890:0.459219:0.000000
x:@0.384105:0.475580:0.391568:0.475580:0.391568:0.459219:0.384105:0.459219:0.000000
x:@0.432533:0.475580:0.439996:0.475580:0.439996:0.459219:0.432533:0.459219:0.000000
V:@0.205796:0.499469:0.214917:0.499469:0.214917:0.483108:0.205796:0.483108:0.000000
x:@0.243757:0.499469:0.251220:0.499469:0.251220:0.483108:0.243757:0.483108:0.000000
cm:@0.313266:0.499469:0.335176:0.499469:0.335176:0.483108:0.313266:0.483108:0.000000:0.000000
máx:@0.213962:0.501473:0.232054:0.501473:0.232054:0.491991:0.213962:0.491991:0.000000:0.000000:0.000000
500:@0.580744:0.572281:0.600365:0.572281:0.600365:0.560361:0.580744:0.560361:0.000000:0.000000:0.000000
20 40:@0.623255:0.562505:0.656594:0.562487:0.656594:0.551760:0.623255:0.551778:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.615476:0.570598:0.618636:0.570598:0.618636:0.559871:0.615476:0.559871:0.000000
0:@0.598698:0.558875:0.604584:0.558875:0.604584:0.548148:0.598698:0.548148:0.000000
–20:@0.578181:0.558875:0.595984:0.558875:0.595984:0.548148:0.578181:0.548148:0.000000:0.000000:0.000000
500:@0.578868:0.533347:0.596527:0.533347:0.596527:0.522620:0.578868:0.522620:0.000000:0.000000:0.000000
1500:@0.575744:0.496349:0.599289:0.496349:0.599289:0.485622:0.575744:0.485622:0.000000:0.000000:0.000000:0.000000
2500:@0.575925:0.459351:0.599470:0.459351:0.599470:0.448624:0.575925:0.448624:0.000000:0.000000:0.000000:0.000000
3000:@0.575925:0.440857:0.599470:0.440857:0.599470:0.430129:0.575925:0.430129:0.000000:0.000000:0.000000:0.000000
1000:@0.575925:0.514843:0.599470:0.514843:0.599470:0.504116:0.575925:0.504116:0.000000:0.000000:0.000000:0.000000
2000:@0.575744:0.477846:0.599289:0.477846:0.599289:0.467118:0.575744:0.467118:0.000000:0.000000:0.000000:0.000000
3500:@0.575925:0.422353:0.599470:0.422353:0.599470:0.411626:0.575925:0.411626:0.000000:0.000000:0.000000:0.000000
100 120:@0.706626:0.562487:0.744874:0.562487:0.744874:0.551760:0.706626:0.551760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
160 180:@0.768394:0.562487:0.806642:0.562487:0.806642:0.551760:0.768394:0.551760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
140:@0.747805:0.562487:0.765463:0.562487:0.765463:0.551760:0.747805:0.551760:0.000000:0.000000:0.000000
200 220:@0.809573:0.562487:0.847821:0.562487:0.847821:0.551760:0.809573:0.551760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
240 260:@0.850752:0.562487:0.888999:0.562487:0.888999:0.551760:0.850752:0.551760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
60 80:@0.666400:0.562487:0.699763:0.562487:0.699763:0.551760:0.666400:0.551760:0.000000:0.000000:0.000000:0.000000:0.000000
():@0.627018:0.859570:0.650218:0.859570:0.650218:0.839637:0.627018:0.839637:0.000000:0.000000
(:@0.786322:0.859570:0.792458:0.859570:0.792458:0.839637:0.786322:0.839637:0.000000
):@0.834068:0.859570:0.840204:0.859570:0.840204:0.839637:0.834068:0.839637:0.000000
():@0.656909:0.904204:0.680110:0.904204:0.680110:0.884271:0.656909:0.884271:0.000000:0.000000
=:@0.653297:0.857116:0.663414:0.857116:0.663414:0.841543:0.653297:0.841543:0.000000
=:@0.745325:0.857116:0.755442:0.857116:0.755442:0.841543:0.745325:0.841543:0.000000
<<:@0.627222:0.879161:0.663838:0.879161:0.663838:0.863589:0.627222:0.863589:0.000000:0.000000
≈:@0.683556:0.901760:0.693672:0.901760:0.693672:0.886187:0.683556:0.886187:0.000000
36:@0.666381:0.856452:0.684164:0.856452:0.684164:0.840063:0.666381:0.840063:0.000000:0.000000
–2:@0.704397:0.856452:0.724907:0.856452:0.724907:0.840063:0.704397:0.840063:0.000000:0.000000
2:@0.758427:0.856452:0.767420:0.856452:0.767420:0.840063:0.758427:0.840063:0.000000
18–:@0.791615:0.856452:0.821136:0.856452:0.821136:0.840063:0.791615:0.840063:0.000000:0.000000:0.000000
0:@0.614931:0.878498:0.623924:0.878498:0.623924:0.862109:0.614931:0.862109:0.000000
18:@0.665662:0.878498:0.683445:0.878498:0.683445:0.862109:0.665662:0.862109:0.000000:0.000000
1728:@0.696234:0.901096:0.731596:0.901096:0.731596:0.884707:0.696234:0.884707:0.000000:0.000000:0.000000:0.000000
.:@0.731412:0.901096:0.734619:0.901096:0.734619:0.884707:0.731412:0.884707:0.000000
2:@0.694917:0.848776:0.700129:0.848776:0.700129:0.839278:0.694917:0.839278:0.000000
3:@0.735275:0.848776:0.740487:0.848776:0.740487:0.839278:0.735275:0.839278:0.000000
2:@0.777791:0.848776:0.783003:0.848776:0.783003:0.839278:0.777791:0.839278:0.000000
3:@0.764962:0.893410:0.770174:0.893410:0.770174:0.883912:0.764962:0.883912:0.000000
Vx:@0.614139:0.856438:0.642388:0.856438:0.642388:0.840077:0.614139:0.840077:0.000000:0.000000
x:@0.685804:0.856438:0.693267:0.856438:0.693267:0.840077:0.685804:0.840077:0.000000
x:@0.726160:0.856438:0.733623:0.856438:0.733623:0.840077:0.726160:0.840077:0.000000
x:@0.768680:0.856438:0.776143:0.856438:0.776143:0.840077:0.768680:0.840077:0.000000
x:@0.824902:0.856438:0.832365:0.856438:0.832365:0.840077:0.824902:0.840077:0.000000
x:@0.641780:0.878480:0.649243:0.878480:0.649243:0.862119:0.641780:0.862119:0.000000
Vmáx x:@0.614139:0.901079:0.672278:0.901079:0.672278:0.884717:0.614139:0.884717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plgs:@0.735909:0.901079:0.764158:0.901079:0.764158:0.884717:0.735909:0.884717:0.000000:0.000000:0.000000:0.000000
a):@0.587842:0.854913:0.602750:0.854913:0.602750:0.838012:0.587842:0.838012:0.000000:0.000000
b):@0.587842:0.877540:0.604059:0.877540:0.604059:0.860639:0.587842:0.860639:0.000000:0.000000
c):@0.587842:0.900166:0.601663:0.900166:0.601663:0.883265:0.587842:0.883265:0.000000:0.000000
a)   :@0.636749:0.369511:0.663101:0.369511:0.663101:0.352610:0.636749:0.352610:0.000000:0.000000:0.000000:0.000000:0.000000
26 licuadoras:@0.663101:0.369511:0.759754:0.369511:0.759754:0.353122:0.663101:0.353122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b)   :@0.636749:0.392137:0.664409:0.392137:0.664409:0.375236:0.636749:0.375236:0.000000:0.000000:0.000000:0.000000:0.000000
No:@0.664409:0.392137:0.685970:0.392137:0.685970:0.375748:0.664409:0.375748:0.000000:0.000000
c)   :@0.636749:0.414763:0.662014:0.414763:0.662014:0.397863:0.636749:0.397863:0.000000:0.000000:0.000000:0.000000:0.000000
= $3 276,23:@0.662014:0.414763:0.747223:0.414763:0.747223:0.398375:0.662014:0.398375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000