92:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rutina de pensamiento: ‘Analiza, modela y toma decisiones’:@0.088383:0.119289:0.526843:0.119289:0.526843:0.102513:0.088383:0.102513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
á:@0.101258:0.086030:0.273550:0.086030:0.273550:0.059898:0.101258:0.059898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.757166:0.074992:0.800809:0.074992:0.800809:0.054740:0.757166:0.054740:0.000000:0.000000:0.000000
Participación:@0.726735:0.089451:0.831238:0.089451:0.831238:0.072550:0.726735:0.072550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Toma decisiones. :@0.070361:0.797253:0.235249:0.797253:0.235249:0.780118:0.070361:0.780118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propón estrategias:@0.235249:0.797253:0.385064:0.797253:0.385064:0.780353:0.235249:0.780353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.072867:0.818483:0.079095:0.818483:0.079095:0.801347:0.072867:0.801347:0.000000
  ¿Qué implica una razón de cambio negativa en este contexto?:@0.079095:0.818483:0.558063:0.818483:0.558063:0.802094:0.079095:0.802094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072867:0.842202:0.076902:0.842202:0.076902:0.825813:0.072867:0.825813:0.000000
Indica que la temperatura se encuentra bajo cero.:@0.101360:0.842202:0.465187:0.842202:0.465187:0.825813:0.101360:0.825813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.072867:0.865921:0.079095:0.865921:0.079095:0.848785:0.072867:0.848785:0.000000
  ¿Qué piensas sobre los efectos del calor excesivo en el cuerpo y la importancia de consumir bebidas frías en :@0.079095:0.865921:0.907683:0.865921:0.907683:0.849532:0.079095:0.849532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esos momentos?:@0.101356:0.882517:0.225962:0.882517:0.225962:0.866128:0.101356:0.866128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.072867:0.906236:0.076902:0.906236:0.076902:0.889847:0.072867:0.889847:0.000000
El calor excesivo puede afectar desde la deshidratación hasta el agotamiento por calor. Es crucial consumir :@0.101360:0.906236:0.907694:0.906236:0.907694:0.889847:0.101360:0.889847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
bebidas frías durante estos momentos para regular la temperatura corporal y prevenir problemas de salud.:@0.101356:0.922833:0.880561:0.922833:0.880561:0.906444:0.101356:0.906444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Modela. :@0.070361:0.598725:0.163179:0.598725:0.163179:0.581590:0.070361:0.581590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Paso a paso:@0.163179:0.598725:0.255741:0.598725:0.255741:0.581825:0.163179:0.581825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.072867:0.623731:0.088383:0.623731:0.088383:0.606595:0.072867:0.606595:0.000000:0.000000
  Encontramos la razón de cambio. Derivamos :@0.088383:0.623731:0.432425:0.623731:0.432425:0.607342:0.088383:0.607342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
respecto del tiempo.  () 30 08    :@0.101356:0.648708:0.382096:0.649126:0.382096:0.632737:0.101356:0.632319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.258918:0.649126:0.279317:0.649126:0.279317:0.632764:0.258918:0.632764:0.000000:0.000000
t:@0.357653:0.649126:0.363034:0.649126:0.363034:0.632764:0.357653:0.632764:0.000000
dT:@0.386123:0.640357:0.403464:0.640357:0.403464:0.623996:0.386123:0.623996:0.000000:0.000000
dt:@0.388172:0.659970:0.402767:0.659970:0.402767:0.643609:0.388172:0.643609:0.000000:0.000000
,;:@0.344150:0.649126:0.367517:0.649126:0.367517:0.632737:0.344150:0.632737:0.000000:0.000000
, 08:@0.443623:0.649126:0.457470:0.649126:0.457470:0.632737:0.443623:0.632737:0.000000:0.000000:0.000000:0.000000
=:@0.288775:0.648711:0.298892:0.648711:0.298892:0.631769:0.288775:0.631769:0.000000
−:@0.322535:0.648711:0.332652:0.648711:0.332652:0.631769:0.322535:0.631769:0.000000
=−:@0.410748:0.648711:0.434483:0.648711:0.434483:0.631769:0.410748:0.631769:0.000000:0.000000
b):@0.072862:0.675984:0.089521:0.675984:0.089521:0.658848:0.072862:0.658848:0.000000:0.000000
  Determinamos la temperatura a los 5 minutos, :@0.089521:0.675984:0.445502:0.675984:0.445502:0.659595:0.089521:0.659595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustituimos en la expresión original:@0.101351:0.692580:0.359445:0.692580:0.359445:0.676192:0.101351:0.676192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.103557:0.711067:0.123957:0.711067:0.123957:0.694705:0.103557:0.694705:0.000000:0.000000
t:@0.202293:0.711067:0.207674:0.711067:0.207674:0.694705:0.202293:0.694705:0.000000
T:@0.103557:0.732946:0.111684:0.732946:0.111684:0.716585:0.103557:0.716585:0.000000
C:@0.275377:0.732946:0.285291:0.732946:0.285291:0.716585:0.275377:0.716585:0.000000
() 30 08:@0.113656:0.711067:0.202636:0.711072:0.202636:0.694683:0.113656:0.694678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.188785:0.711067:0.191992:0.711067:0.191992:0.694678:0.188785:0.694678:0.000000
() 300:@0.113661:0.732951:0.190598:0.732951:0.190598:0.716562:0.113661:0.716562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,85:@0.190818:0.732951:0.222386:0.732951:0.222386:0.716562:0.190818:0.716562:0.000000:0.000000:0.000000
=:@0.133399:0.710652:0.143515:0.710652:0.143515:0.693710:0.133399:0.693710:0.000000
−:@0.167158:0.710652:0.177275:0.710652:0.177275:0.693710:0.167158:0.693710:0.000000
=:@0.135439:0.732536:0.145556:0.732536:0.145556:0.715594:0.135439:0.715594:0.000000
−:@0.169198:0.732536:0.179315:0.732536:0.179315:0.715594:0.169198:0.715594:0.000000
():@0.206323:0.734286:0.228842:0.734286:0.228842:0.712634:0.206323:0.712634:0.000000:0.000000
=:@0.232028:0.732536:0.242145:0.732536:0.242145:0.715594:0.232028:0.715594:0.000000
°:@0.268404:0.732536:0.275775:0.732536:0.275775:0.715594:0.268404:0.715594:0.000000
5:@0.118896:0.732951:0.127889:0.732951:0.127889:0.716562:0.118896:0.716562:0.000000
26 :@0.245070:0.732951:0.267792:0.732951:0.267792:0.716562:0.245070:0.716562:0.000000:0.000000:0.000000
c):@0.072864:0.761027:0.086961:0.761027:0.086961:0.743891:0.072864:0.743891:0.000000:0.000000
  Interpretamos la derivada: :@0.086961:0.761027:0.296705:0.761027:0.296705:0.744638:0.086961:0.744638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dT:@0.300948:0.752740:0.318288:0.752740:0.318288:0.736379:0.300948:0.736379:0.000000:0.000000
dt:@0.302993:0.772351:0.317588:0.772351:0.317588:0.755990:0.302993:0.755990:0.000000:0.000000
=−:@0.325552:0.761086:0.349287:0.761086:0.349287:0.744144:0.325552:0.744144:0.000000:0.000000
08:@0.349215:0.761501:0.372286:0.761501:0.372286:0.745112:0.349215:0.745112:0.000000:0.000000
,:@0.358428:0.761501:0.361635:0.761501:0.361635:0.745112:0.358428:0.745112:0.000000
 :@0.502496:0.623723:0.506531:0.623723:0.506531:0.607334:0.502496:0.607334:0.000000
Indica que la temperatura disminuye a razón de 0,8 :@0.530989:0.623723:0.907648:0.623723:0.907648:0.607334:0.530989:0.607334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grados centígrados por minuto.:@0.530985:0.640320:0.762709:0.640320:0.762709:0.623931:0.530985:0.623931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.502496:0.664038:0.519265:0.664038:0.519265:0.646903:0.502496:0.646903:0.000000:0.000000
  Encontramos el tiempo para los 10 °C:@0.519265:0.664038:0.806058:0.664038:0.806058:0.647650:0.519265:0.647650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.533191:0.684843:0.553590:0.684843:0.553590:0.668482:0.533191:0.668482:0.000000:0.000000
t:@0.631926:0.684843:0.637307:0.684843:0.637307:0.668482:0.631926:0.668482:0.000000
() 30 08    10 =30 -0,8t; t = 25 min:@0.543289:0.684843:0.825417:0.684843:0.825417:0.668454:0.543289:0.668454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,;:@0.618419:0.684843:0.641785:0.684843:0.641785:0.668454:0.618419:0.668454:0.000000:0.000000
=:@0.563025:0.684428:0.573142:0.684428:0.573142:0.667486:0.563025:0.667486:0.000000
−:@0.596785:0.684428:0.606902:0.684428:0.606902:0.667486:0.596785:0.667486:0.000000
 :@0.502499:0.711923:0.506535:0.711923:0.506535:0.695534:0.502499:0.695534:0.000000
La bebida está a 10 °C a los 25 minutos de estar en :@0.530992:0.711923:0.907726:0.711923:0.907726:0.695534:0.530992:0.695534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el refrigerador.:@0.530988:0.728519:0.636687:0.728519:0.636687:0.712130:0.530988:0.712130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  Fases de la rutina:@0.067600:0.329151:0.209198:0.329151:0.209198:0.312016:0.067600:0.312016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Analiza. :@0.070361:0.349664:0.162333:0.349664:0.162333:0.332528:0.070361:0.332528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problema: ¿qué está pasando?:@0.162333:0.349664:0.403330:0.349664:0.403330:0.332764:0.162333:0.332764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una región de la Costa ecuatoriana, una botella de :@0.072867:0.370894:0.478035:0.370894:0.478035:0.354505:0.072867:0.354505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
jugo a temperatura ambiente está a :@0.072867:0.387490:0.351290:0.387490:0.351290:0.371101:0.072867:0.371101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T:@0.355733:0.387871:0.363860:0.387871:0.363860:0.371510:0.355733:0.371510:0.000000
C:@0.455574:0.387871:0.465488:0.387871:0.465488:0.371510:0.455574:0.371510:0.000000
0:@0.363062:0.389875:0.368274:0.389875:0.368274:0.380377:0.363062:0.380377:0.000000
30 08, :@0.386934:0.387871:0.447985:0.387871:0.447985:0.371482:0.386934:0.371482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.373888:0.387456:0.384004:0.387456:0.384004:0.370514:0.373888:0.370514:0.000000
−:@0.407647:0.387456:0.417764:0.387456:0.417764:0.370514:0.407647:0.370514:0.000000
°:@0.448593:0.387456:0.455964:0.387456:0.455964:0.370514:0.448593:0.370514:0.000000
, :@0.470800:0.387485:0.478042:0.387485:0.478042:0.371096:0.470800:0.371096:0.000000:0.000000
para que se enfríe se coloca en un refrigerador. Duran-:@0.072874:0.404081:0.474007:0.404081:0.474007:0.387693:0.072874:0.387693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te los primeros 10 minutos, la temperatura disminuye :@0.072874:0.420678:0.478057:0.420678:0.478057:0.404289:0.072874:0.404289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de manera lineal y puede aproximarse a la función: :@0.072874:0.437274:0.478061:0.437274:0.478061:0.420885:0.072874:0.420885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tt:@0.075065:0.454148:0.095465:0.454148:0.095465:0.437787:0.075065:0.437787:0.000000:0.000000
t:@0.173800:0.454148:0.179181:0.454148:0.179181:0.437787:0.173800:0.437787:0.000000
() 30 08:@0.085163:0.454148:0.174132:0.454148:0.174132:0.437760:0.085163:0.437760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.160293:0.454148:0.163499:0.454148:0.163499:0.437760:0.160293:0.437760:0.000000
=:@0.104899:0.453734:0.115016:0.453734:0.115016:0.436791:0.104899:0.436791:0.000000
−:@0.138659:0.453734:0.148776:0.453734:0.148776:0.436791:0.138659:0.436791:0.000000
Donde:  ( ) es la temperatura en (°C) y   es el tiempo :@0.072866:0.477595:0.477998:0.477595:0.477998:0.461206:0.072866:0.461206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
T t:@0.132517:0.477595:0.150907:0.477595:0.150907:0.461233:0.132517:0.461233:0.000000:0.000000:0.000000
t:@0.369072:0.477595:0.374453:0.477595:0.374453:0.461233:0.369072:0.461233:0.000000
medidos en minutos::@0.072866:0.494191:0.228431:0.494191:0.228431:0.477802:0.072866:0.477802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.072866:0.525046:0.087406:0.525046:0.087406:0.508146:0.072866:0.508146:0.000000:0.000000
  ¿Cuál es la razón de cambio de la temperatura?:@0.087406:0.525046:0.446468:0.525046:0.446468:0.508657:0.087406:0.508657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.072866:0.548765:0.089083:0.548765:0.089083:0.531865:0.072866:0.531865:0.000000:0.000000
  ¿Qué temperatura tendrá la bebida a los 5:@0.089083:0.548765:0.409484:0.548765:0.409484:0.532376:0.089083:0.532376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minutos?:@0.101356:0.565362:0.169243:0.565362:0.169243:0.548973:0.101356:0.548973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.502488:0.370880:0.516309:0.370880:0.516309:0.353979:0.502488:0.353979:0.000000:0.000000
  ¿Qué significa el resultado de la derivada en este :@0.516309:0.370880:0.907660:0.370880:0.907660:0.354491:0.516309:0.354491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.614053:0.370880:0.618089:0.370880:0.618089:0.354491:0.614053:0.354491:0.000000
contexto?:@0.530977:0.387476:0.603949:0.387476:0.603949:0.371087:0.530977:0.371087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.502488:0.411195:0.518741:0.411195:0.518741:0.394295:0.502488:0.394295:0.000000:0.000000
  ¿En cuánto tiempo llegará a los 10 °C?:@0.518741:0.411195:0.808721:0.411195:0.808721:0.394806:0.518741:0.394806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.502488:0.434914:0.508717:0.434914:0.508717:0.417778:0.502488:0.417778:0.000000
  ¿Qué se requiere hacer para solucionar el problema?:@0.508717:0.434914:0.903606:0.434914:0.903606:0.418525:0.508717:0.418525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.502488:0.455079:0.506524:0.455079:0.506524:0.438690:0.502488:0.438690:0.000000
Se requiere aplicar la derivada o razón de cambio :@0.530981:0.455079:0.907694:0.455079:0.907694:0.438690:0.530981:0.438690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  la temperatura en  relación con  el tiempo  e :@0.530977:0.471675:0.907694:0.471675:0.907694:0.455286:0.530977:0.455286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpretar los resultados.:@0.530977:0.488272:0.715785:0.488272:0.715785:0.471883:0.530977:0.471883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.502488:0.511991:0.508717:0.511991:0.508717:0.494855:0.502488:0.494855:0.000000
  ¿Qué estrategia debes emplear?:@0.508717:0.511991:0.765932:0.511991:0.765932:0.495602:0.508717:0.495602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.502488:0.532155:0.506524:0.532155:0.506524:0.515766:0.502488:0.515766:0.000000
Emplear la derivada y el álgebra para encontrar la :@0.530981:0.532155:0.907666:0.532155:0.907666:0.515766:0.530981:0.515766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura en un tiempo específico. Adicional-:@0.530977:0.548752:0.903658:0.548752:0.903658:0.532363:0.530977:0.532363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.796704:0.548752:0.800740:0.548752:0.800740:0.532363:0.796704:0.532363:0.000000
mente, graficar para interpretar los resultados.:@0.530977:0.565348:0.866300:0.565348:0.866300:0.548959:0.530977:0.548959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.614600:0.565348:0.618636:0.565348:0.618636:0.548959:0.614600:0.548959:0.000000
Contexto: enfriamiento lineal de una bebida:@0.072866:0.166195:0.518689:0.166195:0.518689:0.144685:0.072866:0.144685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.916664:0.295231:0.916664:0.252405:0.904753:0.252405:0.904753:0.295231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un día caluroso, una persona coloca una bebida a temperatura :@0.072616:0.196634:0.581919:0.196634:0.581919:0.180245:0.072616:0.180245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ambiente dentro de un refrigerador. Durante los primeros minutos, :@0.072616:0.213231:0.581838:0.213231:0.581838:0.196842:0.072616:0.196842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se observa que la temperatura de la bebida disminuye de forma casi :@0.072616:0.229827:0.581860:0.229827:0.581860:0.213438:0.072616:0.213438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lineal. Se quiere analizar cómo cambia la temperatura de la bebida en :@0.072616:0.246423:0.581887:0.246423:0.581887:0.230035:0.072616:0.230035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el tiempo durante este proceso de enfriamiento.:@0.072616:0.263020:0.427009:0.263020:0.427009:0.246631:0.072616:0.246631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El consumo de energía para enfriar bebidas es mayor en días calurosos.:@0.131772:0.294098:0.557332:0.294098:0.557332:0.280689:0.131772:0.280689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000