196:@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
Evaporación del agua:@0.073089:0.142197:0.229727:0.142197:0.229727:0.125763:0.073089:0.125763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Un charco circular de :@0.073089:0.169560:0.266564:0.169560:0.266564:0.152891:0.073089:0.152891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
agua se evapora poco :@0.103214:0.186202:0.273174:0.186202:0.273174:0.169532:0.103214:0.169532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a poco y disminuye :@0.103214:0.202844:0.253631:0.202844:0.253631:0.186174:0.103214:0.186174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lentamente su tamaño. :@0.103214:0.219486:0.282335:0.219486:0.282335:0.202816:0.103214:0.202816:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Después de   minutos, :@0.103214:0.236127:0.275628:0.236127:0.275628:0.219458:0.103214:0.219458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.195729:0.236127:0.201490:0.236127:0.201490:0.219444:0.195729:0.219444:0.000000
el radio del charco mide :@0.103196:0.252769:0.288781:0.252769:0.288781:0.236100:0.103196:0.236100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18:@0.126681:0.274164:0.144573:0.274164:0.144573:0.257730:0.126681:0.257730:0.000000:0.000000
12  + 3:@0.110188:0.290556:0.161084:0.290556:0.161084:0.274123:0.110188:0.274123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.127988:0.290556:0.133363:0.290556:0.133363:0.274150:0.127988:0.274150:0.000000
 centímetros, :@0.167950:0.281639:0.266230:0.281639:0.266230:0.265205:0.167950:0.265205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es decir, el radio es una función del tiempo. El área del :@0.103212:0.309001:0.489043:0.309001:0.489043:0.292567:0.103212:0.292567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
charco está dada por A =  r , es decir, el área es una :@0.103212:0.325643:0.488917:0.325637:0.488917:0.309203:0.103212:0.309209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.291628:0.325088:0.303906:0.325088:0.303906:0.311372:0.291628:0.311372:0.000000
2:@0.309201:0.319573:0.314438:0.319573:0.314438:0.309992:0.309201:0.309992:0.000000
función del radio.:@0.103215:0.342278:0.229353:0.342278:0.229353:0.325845:0.103215:0.325845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Responde las preguntas.:@0.103215:0.369640:0.280586:0.369640:0.280586:0.353207:0.103215:0.353207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  ¿Cómo expresarías el área como una función del :@0.104633:0.397005:0.488960:0.397005:0.488960:0.380571:0.104633:0.380571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo?:@0.134760:0.413647:0.194823:0.413647:0.194823:0.397213:0.134760:0.397213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  ¿Cuál  es el área  del charco  después  de  10 :@0.104633:0.438507:0.488645:0.438507:0.488645:0.422073:0.104633:0.422073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minutos?:@0.134760:0.455149:0.202050:0.455149:0.202050:0.438715:0.134760:0.438715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe las funciones que intervienen.:@0.103210:0.480015:0.375674:0.480015:0.375674:0.463581:0.103210:0.463581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.104633:0.507374:0.113137:0.507374:0.113137:0.490940:0.104633:0.490940:0.000000:0.000000
El radio en función del tiempo se puede expresar :@0.134834:0.507374:0.488500:0.507374:0.488500:0.490940:0.134834:0.490940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así::@0.134760:0.524016:0.156812:0.524016:0.156812:0.507582:0.134760:0.507582:0.000000:0.000000:0.000000:0.000000
R t:@0.134760:0.556273:0.153812:0.556273:0.153812:0.539867:0.134760:0.539867:0.000000:0.000000:0.000000
( ) = :@0.143633:0.556273:0.177428:0.556273:0.177428:0.539840:0.143633:0.539840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18:@0.200799:0.547912:0.218691:0.547912:0.218691:0.531478:0.200799:0.531478:0.000000:0.000000
12  + 3:@0.184306:0.564304:0.235202:0.564304:0.235202:0.547871:0.184306:0.547871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.202106:0.564304:0.207481:0.564304:0.207481:0.547898:0.202106:0.547898:0.000000
.:@0.242068:0.556275:0.245271:0.556275:0.245271:0.539841:0.242068:0.539841:0.000000
• :@0.104633:0.583637:0.113137:0.583637:0.113137:0.567203:0.104633:0.567203:0.000000:0.000000
El área en función del radio se expresa así:  :@0.134834:0.583637:0.444665:0.583637:0.444665:0.567203:0.134834:0.567203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A =  r .:@0.134760:0.600279:0.190161:0.600279:0.190161:0.583845:0.134760:0.583845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.164230:0.599724:0.176508:0.599724:0.176508:0.586008:0.164230:0.586008:0.000000
2:@0.181767:0.594215:0.187004:0.594215:0.187004:0.584634:0.181767:0.584634:0.000000
Establece la composición de funciones.:@0.073091:0.627640:0.357735:0.627640:0.357735:0.611207:0.073091:0.611207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  ¿Cómo expresarías el área como una función del :@0.104633:0.655005:0.488960:0.655005:0.488960:0.638571:0.104633:0.638571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo?:@0.134760:0.671647:0.194823:0.671647:0.194823:0.655213:0.134760:0.655213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(AoR)(t) = A(Rt).:@0.223097:0.696512:0.334844:0.696512:0.334844:0.680079:0.223097:0.680079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(R(t)) =   :@0.193259:0.726981:0.272962:0.726981:0.272962:0.710547:0.193259:0.710547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.256745:0.726426:0.269023:0.726426:0.269023:0.712711:0.256745:0.712711:0.000000
18:@0.301759:0.720404:0.319651:0.720404:0.319651:0.703970:0.301759:0.703970:0.000000:0.000000
12t + 3:@0.285101:0.736796:0.336328:0.736796:0.336328:0.720362:0.285101:0.720362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  .:@0.348529:0.726978:0.364592:0.726983:0.364592:0.710550:0.348529:0.710545:0.000000:0.000000:0.000000
2:@0.352480:0.721935:0.361462:0.721935:0.361462:0.705502:0.352480:0.705502:0.000000
b.  ¿Cuál  es el área  del charco  después  de  10 :@0.104633:0.754342:0.488645:0.754342:0.488645:0.737908:0.104633:0.737908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minutos? Reemplaza el valor de 10 en la anterior :@0.134760:0.770983:0.489034:0.770983:0.489034:0.754550:0.134760:0.754550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresión.:@0.134760:0.787625:0.208805:0.787625:0.208805:0.771191:0.134760:0.771191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.073089:0.816665:0.077120:0.816665:0.077120:0.800231:0.073089:0.800231:0.000000
A(R:@0.133331:0.816665:0.156892:0.816665:0.156892:0.800259:0.133331:0.800259:0.000000:0.000000:0.000000
(10)) =   :@0.156837:0.816665:0.224042:0.816665:0.224042:0.800231:0.156837:0.800231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.207825:0.816111:0.220103:0.816111:0.220103:0.802395:0.207825:0.802395:0.000000
18:@0.259235:0.809019:0.277127:0.809019:0.277127:0.792585:0.259235:0.792585:0.000000:0.000000
12(10) + 3:@0.231698:0.825411:0.304738:0.825411:0.304738:0.808977:0.231698:0.808977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.312389:0.803037:0.317626:0.803037:0.317626:0.793456:0.312389:0.793456:0.000000
.:@0.317578:0.816665:0.320781:0.816665:0.320781:0.800231:0.317578:0.800231:0.000000
A(R:@0.134757:0.844027:0.158318:0.844027:0.158318:0.827621:0.134757:0.827621:0.000000:0.000000:0.000000
(t)) = 1,9 cm .:@0.158263:0.844027:0.253447:0.844028:0.253447:0.827595:0.158263:0.827593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.245055:0.837965:0.250292:0.837965:0.250292:0.828384:0.245055:0.828384:0.000000
Conclusión:@0.073093:0.871390:0.154722:0.871390:0.154722:0.854957:0.073093:0.854957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Después de 10 minutos, el área del charco es de 1,9 cm .:@0.073093:0.898752:0.481113:0.898755:0.481113:0.882321:0.073093:0.882319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.472719:0.892691:0.477956:0.892691:0.477956:0.883110:0.472719:0.883110:0.000000
2.  Los defensores del :@0.514231:0.142197:0.688563:0.142197:0.688563:0.125527:0.514231:0.125527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medioambiente han :@0.544355:0.158839:0.703219:0.158839:0.703219:0.142169:0.544355:0.142169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estimado que el nivel :@0.544355:0.175481:0.710162:0.175481:0.710162:0.158811:0.544355:0.158811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
promedio de :@0.544355:0.192122:0.646804:0.192122:0.646804:0.175453:0.544355:0.175453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monóxido de carbono :@0.544355:0.208764:0.717282:0.208764:0.717282:0.192095:0.544355:0.192095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el aire es:@0.544355:0.225406:0.632925:0.225406:0.632925:0.208737:0.544355:0.208737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M(m):@0.544355:0.250272:0.582385:0.250272:0.582385:0.233866:0.544355:0.233866:0.000000:0.000000:0.000000:0.000000
 = (1 + 0,6 m) partes :@0.582348:0.250272:0.732573:0.250272:0.732573:0.233838:0.582348:0.233838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por millón cuando el :@0.544355:0.266914:0.744184:0.266914:0.744184:0.250480:0.544355:0.250480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número de personas es :@0.544355:0.283555:0.764333:0.283555:0.764333:0.267122:0.544355:0.267122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m-miles. Si la población en miles en :@0.544355:0.300197:0.806281:0.300197:0.806281:0.283763:0.544355:0.283763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el momento  es  (t) = 400 + 30  + 0,5 , entonces::@0.544355:0.316839:0.905845:0.316835:0.905845:0.300401:0.544355:0.300405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t :@0.638471:0.316839:0.647086:0.316839:0.647086:0.300433:0.638471:0.300433:0.000000:0.000000
P:@0.666616:0.316839:0.675378:0.316839:0.675378:0.300433:0.666616:0.300433:0.000000
t:@0.772605:0.316839:0.777980:0.316839:0.777980:0.300433:0.772605:0.300433:0.000000
t:@0.817629:0.316839:0.823004:0.316839:0.823004:0.300433:0.817629:0.300433:0.000000
2:@0.822929:0.310771:0.828166:0.310771:0.828166:0.301190:0.822929:0.301190:0.000000
a.  Expresa el nivel de monóxido de carbono en el :@0.545774:0.344199:0.929682:0.344199:0.929682:0.327765:0.545774:0.327765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aire como una función del tiempo.:@0.575902:0.360840:0.826301:0.360840:0.826301:0.344407:0.575902:0.344407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Calcula el nivel de monóxido de carbono en :@0.545774:0.385701:0.929910:0.385701:0.929910:0.369267:0.545774:0.369267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.575883:0.402343:0.581258:0.402343:0.581258:0.385937:0.575883:0.385937:0.000000
 = 5.:@0.581185:0.402343:0.612109:0.402343:0.612109:0.385909:0.581185:0.385909:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Se conoce que la población de ranas R, calculada :@0.514231:0.427205:0.929961:0.427205:0.929961:0.410535:0.514231:0.410535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en miles en una determinada región, depende de :@0.544355:0.443847:0.929798:0.443847:0.929798:0.427177:0.544355:0.427177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la población de insectos m en millones. La :@0.544355:0.460488:0.929772:0.460488:0.929772:0.443819:0.544355:0.443819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
población de insectos  , a su vez, varía con la :@0.544355:0.477130:0.929696:0.477130:0.929696:0.460461:0.544355:0.460461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I:@0.733435:0.477130:0.737723:0.477130:0.737723:0.460447:0.733435:0.460447:0.000000
cantidad de lluvia c dada en centímetros. Si la :@0.544355:0.493772:0.930018:0.493772:0.930018:0.477102:0.544355:0.477102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
población de ranas es:@0.544355:0.510414:0.709023:0.510414:0.709023:0.493744:0.544355:0.493744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R(m):@0.544355:0.541423:0.577451:0.541423:0.577451:0.525017:0.544355:0.525017:0.000000:0.000000:0.000000:0.000000
 = 65 + :@0.577415:0.541423:0.632931:0.541423:0.632931:0.524989:0.577415:0.524989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.648127:0.536091:0.664176:0.536091:0.664176:0.518664:0.648127:0.518664:0.000000
8:@0.651226:0.552475:0.661098:0.552475:0.661098:0.535048:0.651226:0.535048:0.000000
 :@0.671390:0.541421:0.675422:0.541421:0.675422:0.524987:0.671390:0.524987:0.000000
y la población de insectos es  ( ) = 43  + 7,5, entonces::@0.544352:0.568784:0.926002:0.568784:0.926002:0.552350:0.544352:0.552350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I c:@0.748893:0.568784:0.764926:0.568784:0.764926:0.552378:0.748893:0.552378:0.000000:0.000000:0.000000
c:@0.804428:0.568784:0.812085:0.568784:0.812085:0.552378:0.804428:0.552378:0.000000
a.  Expresa la población de ranas como una función :@0.545774:0.596147:0.930199:0.596147:0.930199:0.579713:0.545774:0.579713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la lluvia.:@0.575902:0.612789:0.655587:0.612789:0.655587:0.596355:0.575902:0.596355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Estima la población de ranas cuando la lluvia es :@0.545774:0.637650:0.930214:0.637650:0.930214:0.621216:0.545774:0.621216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de 1,5 centímetros.:@0.575902:0.654291:0.713850:0.654291:0.713850:0.637858:0.575902:0.637858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  Después de muchas investigaciones, una compañía :@0.514231:0.679153:0.929877:0.679153:0.929877:0.662484:0.514231:0.662484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
farmacéutica determinó que la concentración de :@0.544355:0.695795:0.929941:0.695795:0.929941:0.679126:0.544355:0.679126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una droga en la corriente sanguínea puede :@0.544355:0.712437:0.929781:0.712437:0.929781:0.695767:0.544355:0.695767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
calcularse de la siguiente manera: concentración :@0.544355:0.729079:0.930063:0.729079:0.930063:0.712409:0.544355:0.712409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a dos veces el tiempo transcurrido desde la :@0.544355:0.745721:0.930070:0.745721:0.930070:0.729051:0.544355:0.729051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inyección, dividido entre el tiempo transcurrido al :@0.544355:0.762362:0.929621:0.762362:0.929621:0.745693:0.544355:0.745693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cubo.:@0.544355:0.779004:0.586392:0.779004:0.586392:0.762335:0.544355:0.762335:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Encuentra la ecuación de la concentración con :@0.545774:0.803866:0.929855:0.803866:0.929855:0.787432:0.545774:0.787432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto al tiempo.:@0.575902:0.820508:0.715123:0.820508:0.715123:0.804074:0.575902:0.804074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Encuentra el dominio, el rango y la gráfica de la :@0.545774:0.845369:0.929649:0.845369:0.929649:0.828935:0.545774:0.828935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función.:@0.575902:0.862010:0.634768:0.862010:0.634768:0.845577:0.575902:0.845577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problemas adaptados de: http://www.mat.uson.mx/~jldiaz/:@0.514231:0.883216:0.867220:0.883216:0.867220:0.869770:0.514231:0.869770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Documents/Funcion/Problemario_Funciones.pdf:@0.514231:0.896832:0.806138:0.896832:0.806138:0.883386:0.514231:0.883386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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