192:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Aplicaciones de la derivada:@0.073089:0.043661:0.316384:0.043661:0.316384:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.  Cambio en el volumen de un cubo.:@0.073089:0.136836:0.367419:0.136836:0.367419:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.103214:0.161702:0.107116:0.161702:0.107116:0.145032:0.103214:0.145032:0.000000
Si la arista de un cubo crece a razón de 2 cm/s,  :@0.107043:0.161702:0.451608:0.161702:0.451608:0.145268:0.107043:0.145268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿a qué velocidad crece su volumen cuando la arista :@0.103214:0.178344:0.479779:0.178344:0.479779:0.161910:0.103214:0.161910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mide 5 cm?:@0.103214:0.194986:0.187759:0.194986:0.187759:0.178552:0.103214:0.178552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  cm /s:@0.104633:0.219842:0.176401:0.219842:0.176401:0.203409:0.104633:0.203409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.157959:0.213778:0.163195:0.213778:0.163195:0.204198:0.157959:0.204198:0.000000
b.  cm /s:@0.104633:0.244704:0.176401:0.244704:0.176401:0.228270:0.104633:0.228270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.157959:0.238640:0.163195:0.238640:0.163195:0.229059:0.157959:0.229059:0.000000
c.  100 cm /s:@0.104633:0.269566:0.207059:0.269566:0.207059:0.253132:0.104633:0.253132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.188615:0.263502:0.193852:0.263502:0.193852:0.253921:0.188615:0.253921:0.000000
d.  150 cm /s:@0.104633:0.294427:0.207059:0.294427:0.207059:0.277993:0.104633:0.277993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.188615:0.288363:0.193852:0.288363:0.193852:0.278782:0.188615:0.278782:0.000000
10.  Agua fluyendo en un cilindro.:@0.073089:0.319289:0.326347:0.319289:0.326347:0.302619:0.073089:0.302619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El volumen de agua en un tanque cilíndrico cambia :@0.103214:0.344154:0.481463:0.344154:0.481463:0.327721:0.103214:0.327721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a razón de 8 m /min. Si el radio del tanque es :@0.103214:0.360796:0.433816:0.360792:0.433816:0.344359:0.103214:0.344362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.210279:0.354729:0.215515:0.354729:0.215515:0.345148:0.210279:0.345148:0.000000
constante en 2 m, ¿a qué velocidad sube el nivel del :@0.103204:0.377434:0.484416:0.377434:0.484416:0.361000:0.103204:0.361000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agua?:@0.103204:0.394076:0.146424:0.394076:0.146424:0.377642:0.103204:0.377642:0.000000:0.000000:0.000000:0.000000:0.000000
a.  1 m/min:@0.104633:0.418937:0.197732:0.418937:0.197732:0.402503:0.104633:0.402503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  2 m/min :@0.104633:0.443799:0.201763:0.443799:0.201763:0.427365:0.104633:0.427365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  0.64 m/min :@0.104633:0.468661:0.222710:0.468661:0.222710:0.452227:0.104633:0.452227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  0.5 m/min:@0.104633:0.493522:0.209770:0.493522:0.209770:0.477089:0.104633:0.477089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11.  Máximos y mínimos. :@0.073089:0.518383:0.262301:0.518383:0.262301:0.501713:0.073089:0.501713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Área máxima de un rectángulo inscrito en una :@0.103214:0.543249:0.443049:0.543249:0.443049:0.526815:0.103214:0.526815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
circunferencia. ¿Qué proporciones debe tener un :@0.103214:0.559891:0.462559:0.559891:0.462559:0.543457:0.103214:0.543457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulo inscrito en una circunferencia de radio 5 :@0.103214:0.576532:0.480386:0.576532:0.480386:0.560099:0.103214:0.560099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para tener área máxima?:@0.103214:0.593174:0.281199:0.593174:0.281199:0.576740:0.103214:0.576740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  5 x 5:@0.104633:0.618032:0.168464:0.618032:0.168464:0.601599:0.104633:0.601599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  4 x 6:@0.104633:0.642893:0.168464:0.642893:0.168464:0.626459:0.104633:0.626459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  7 x 3:@0.104633:0.667755:0.168464:0.667755:0.168464:0.651321:0.104633:0.651321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  5√2 x 5 √2:@0.104633:0.692617:0.210156:0.692617:0.210156:0.676183:0.104633:0.676183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12.  Distancia mínima entre un punto y una línea. :@0.073089:0.717477:0.446583:0.717477:0.446583:0.700808:0.073089:0.700808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra la distancia mínima entre el punto (2,1) y :@0.103214:0.742343:0.479462:0.742343:0.479462:0.725909:0.103214:0.725909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la línea   = 3    2.:@0.103214:0.758985:0.235452:0.758985:0.235452:0.742551:0.103214:0.742551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.157718:0.758985:0.165191:0.758985:0.165191:0.742579:0.157718:0.742579:0.000000
x:@0.192802:0.758985:0.200257:0.758985:0.200257:0.742579:0.192802:0.742579:0.000000
2:@0.204141:0.758430:0.219474:0.758430:0.219474:0.744715:0.204141:0.744715:0.000000
a.  2 unidades:@0.104633:0.783843:0.214850:0.783843:0.214850:0.767409:0.104633:0.767409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  √5 unidades:@0.104633:0.808704:0.224809:0.808704:0.224809:0.792270:0.104633:0.792270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  2√2 unidades:@0.104633:0.833566:0.233718:0.833566:0.233718:0.817132:0.104633:0.817132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  1 unidad:@0.104633:0.858427:0.199204:0.858427:0.199204:0.841994:0.104633:0.841994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13.  Producción óptima.:@0.514231:0.136836:0.693053:0.136836:0.693053:0.120167:0.514231:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.544355:0.161702:0.548258:0.161702:0.548258:0.145032:0.544355:0.145032:0.000000
Una función de producción está dada por  :@0.548184:0.161702:0.859101:0.161702:0.859101:0.145268:0.548184:0.145268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P x:@0.544374:0.178344:0.565321:0.178344:0.565321:0.161938:0.544374:0.161938:0.000000:0.000000:0.000000
( ) =  2x  + 12  + 1. ¿Para qué valor de    :@0.553062:0.178344:0.856099:0.178340:0.856099:0.161906:0.553062:0.161910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.588827:0.177789:0.604160:0.177789:0.604160:0.164073:0.588827:0.164073:0.000000
2:@0.620780:0.172276:0.626017:0.172276:0.626017:0.162695:0.620780:0.162695:0.000000
x:@0.662565:0.178340:0.670020:0.178340:0.670020:0.161934:0.662565:0.161934:0.000000
x:@0.840581:0.178340:0.848036:0.178340:0.848036:0.161934:0.840581:0.161934:0.000000
se maximiza la producción?:@0.544354:0.194982:0.744433:0.194982:0.744433:0.178548:0.544354:0.178548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  2:@0.545774:0.219842:0.584958:0.219842:0.584958:0.203409:0.545774:0.203409:0.000000:0.000000:0.000000:0.000000:0.000000
b.  3:@0.545774:0.244704:0.584958:0.244704:0.584958:0.228270:0.545774:0.228270:0.000000:0.000000:0.000000:0.000000:0.000000
c.  4:@0.545774:0.269566:0.584958:0.269566:0.584958:0.253132:0.545774:0.253132:0.000000:0.000000:0.000000:0.000000:0.000000
d.  5:@0.545774:0.294427:0.584958:0.294427:0.584958:0.277993:0.545774:0.277993:0.000000:0.000000:0.000000:0.000000:0.000000
14.  Costo mínimo de un embalaje.:@0.514231:0.319289:0.776016:0.319289:0.776016:0.302619:0.514231:0.302619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.544355:0.344154:0.548258:0.344154:0.548258:0.327485:0.544355:0.327485:0.000000
¿Cuáles deben ser las dimensiones de un cilindro de :@0.548184:0.344154:0.930341:0.344154:0.930341:0.327721:0.548184:0.327721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
volumen 500 cm  para minimizar el área de su :@0.544355:0.360796:0.882737:0.360792:0.882737:0.344359:0.544355:0.344362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.667048:0.354729:0.672285:0.354729:0.672285:0.345148:0.667048:0.345148:0.000000
superficie?:@0.544345:0.377434:0.622016:0.377434:0.622016:0.361000:0.544345:0.361000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  r = 5, h = 5:@0.545774:0.402295:0.653728:0.402295:0.653728:0.385861:0.545774:0.385861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  r = 4, h = 10:@0.545774:0.427157:0.662637:0.427157:0.662637:0.410723:0.545774:0.410723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  r = 2.5, h = 8:@0.545774:0.452019:0.665766:0.452019:0.665766:0.435585:0.545774:0.435585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  r = 3, h = 7:@0.545774:0.476881:0.653728:0.476881:0.653728:0.460447:0.545774:0.460447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15.  Tiempo mínimo de viaje. :@0.514231:0.501741:0.735360:0.501741:0.735360:0.485072:0.514231:0.485072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un bote debe cruzar un río con corriente y viajar a lo :@0.544355:0.526607:0.928662:0.526607:0.928662:0.510173:0.544355:0.510173:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo de la orilla. ¿En qué ángulo debe dirigirse para :@0.544355:0.543249:0.922210:0.543249:0.922210:0.526815:0.544355:0.526815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minimizar el tiempo de viaje?:@0.544355:0.559891:0.756849:0.559891:0.756849:0.543457:0.544355:0.543457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Perpendicular a la corriente:@0.545774:0.584749:0.774665:0.584749:0.774665:0.568315:0.545774:0.568315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  A 300 de la corriente:@0.545774:0.609609:0.725792:0.609609:0.725792:0.593175:0.545774:0.593175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  A 450 de la corriente:@0.545774:0.634471:0.725792:0.634471:0.725792:0.618037:0.545774:0.618037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  Paralelo a la corriente:@0.545774:0.659333:0.730659:0.659333:0.730659:0.642899:0.545774:0.642899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16.  Volumen máximo de un cilindro inscrito en una :@0.514231:0.684194:0.930563:0.684194:0.930563:0.667524:0.514231:0.667524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esfera. :@0.544355:0.700836:0.597287:0.700836:0.597287:0.684166:0.544355:0.684166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Encuentra el radio del cilindro de mayor volumen :@0.544355:0.725701:0.906617:0.725701:0.906617:0.709267:0.544355:0.709267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inscrito en una esfera de radio 10.:@0.544355:0.742343:0.786979:0.742343:0.786979:0.725909:0.544355:0.725909:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  5:@0.545774:0.767201:0.584958:0.767201:0.584958:0.750767:0.545774:0.750767:0.000000:0.000000:0.000000:0.000000:0.000000
b.  7:@0.545774:0.792062:0.584958:0.792062:0.584958:0.775628:0.545774:0.775628:0.000000:0.000000:0.000000:0.000000:0.000000
c.  10:@0.545774:0.816924:0.593867:0.816924:0.593867:0.800490:0.545774:0.800490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d.  5√2:@0.545774:0.841786:0.603826:0.841786:0.603826:0.825352:0.545774:0.825352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000