156:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Las funciones:@0.073089:0.043661:0.200380:0.043661:0.200380:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Compruebo mis aprendizajes :@0.161804:0.097463:0.577714:0.097463:0.577714:0.069346:0.161804:0.069346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Considera las siguientes funciones reales dadas :@0.073089:0.136836:0.489701:0.136836:0.489701:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.103217:0.153478:0.148996:0.153478:0.148996:0.137044:0.103217:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.103217:0.173698:0.125473:0.173694:0.125473:0.157288:0.103217:0.157292:0.000000:0.000000:0.000000
1:@0.107903:0.176866:0.113140:0.176866:0.113140:0.167285:0.107903:0.167285:0.000000
( ) = 2 ,    ( ) = 2  + 1,    ( ) = 2  – 3.:@0.113140:0.173694:0.375142:0.173694:0.375142:0.157260:0.113140:0.157260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.158367:0.167630:0.162713:0.167630:0.162713:0.158066:0.158367:0.158066:0.000000
f x:@0.178009:0.173694:0.200272:0.173694:0.200272:0.157288:0.178009:0.157288:0.000000:0.000000:0.000000
2:@0.182703:0.176866:0.187940:0.176866:0.187940:0.167285:0.182703:0.167285:0.000000
–:@0.233166:0.167630:0.238531:0.167630:0.238531:0.158049:0.233166:0.158049:0.000000
x:@0.238531:0.167630:0.242878:0.167630:0.242878:0.158066:0.238531:0.158066:0.000000
f x:@0.286190:0.173694:0.308451:0.173694:0.308451:0.157288:0.286190:0.157288:0.000000:0.000000:0.000000
3:@0.290882:0.176866:0.296119:0.176866:0.296119:0.167285:0.290882:0.167285:0.000000
x:@0.341345:0.167630:0.345691:0.167630:0.345691:0.158066:0.341345:0.158066:0.000000
a.  Establece su dominio y recorrido.:@0.104633:0.201057:0.374966:0.201057:0.374966:0.184623:0.104633:0.184623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Determina las ecuaciones de las asíntotas a las :@0.104633:0.224846:0.489696:0.224846:0.489696:0.208412:0.104633:0.208412:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráficas de las funciones.:@0.134760:0.241488:0.313793:0.241488:0.313793:0.225054:0.134760:0.225054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  Traza en el mismo plano cartesiano las gráficas :@0.104633:0.265277:0.489711:0.265277:0.489711:0.248843:0.104633:0.248843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de las funciones.:@0.134760:0.281919:0.254676:0.281919:0.254676:0.265485:0.134760:0.265485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  Analiza las siguientes funciones:  :@0.073089:0.316429:0.342414:0.316429:0.342414:0.299996:0.073089:0.299996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.103217:0.336649:0.124809:0.336649:0.124809:0.320243:0.103217:0.320243:0.000000:0.000000:0.000000
( ) = :@0.112476:0.336649:0.148720:0.336649:0.148720:0.320215:0.112476:0.320215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x h x:@0.148720:0.336649:0.220786:0.336645:0.220786:0.320239:0.148720:0.320243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.170966:0.339818:0.176203:0.339818:0.176203:0.330237:0.170966:0.330237:0.000000
  ;   ( ) = :@0.176203:0.336645:0.244697:0.336645:0.244697:0.320212:0.176203:0.320212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.244697:0.336645:0.288550:0.336645:0.288550:0.320239:0.244697:0.320239:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.266950:0.339818:0.272186:0.339818:0.272186:0.330237:0.266950:0.330237:0.000000
 (  + 2).:@0.272186:0.336645:0.324646:0.336645:0.324646:0.320212:0.272186:0.320212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Encuentra el dominio de   y escribe la ecuación :@0.104633:0.364009:0.489816:0.364009:0.489816:0.347575:0.104633:0.347575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.319919:0.364009:0.329417:0.364009:0.329417:0.347603:0.319919:0.347603:0.000000
de la asíntota vertical.:@0.134742:0.380650:0.290696:0.380650:0.290696:0.364217:0.134742:0.364217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Describe cómo se puede obtener la gráfica de   :@0.104633:0.408014:0.489799:0.408014:0.489799:0.391580:0.104633:0.391580:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.476270:0.408014:0.485768:0.408014:0.485768:0.391608:0.476270:0.391608:0.000000
a partir de la gráfica de  .:@0.134760:0.424655:0.316017:0.424655:0.316017:0.408222:0.134760:0.408222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.303628:0.424655:0.312887:0.424655:0.312887:0.408249:0.303628:0.408249:0.000000
c.  Traza en un mismo plano cartesiano las dos :@0.104633:0.452019:0.489634:0.452019:0.489634:0.435585:0.104633:0.435585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones. :@0.134760:0.468661:0.213094:0.468661:0.213094:0.452227:0.134760:0.452227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Asocia cada gráfico con la función que le :@0.073089:0.499597:0.410531:0.499597:0.410531:0.483163:0.073089:0.483163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
corresponde.:@0.103217:0.516239:0.200773:0.516239:0.200773:0.499805:0.103217:0.499805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.104633:0.604783:0.120077:0.604783:0.120077:0.588349:0.104633:0.588349:0.000000:0.000000:0.000000
y:@0.298295:0.573792:0.305769:0.573792:0.305769:0.557385:0.298295:0.557385:0.000000
 = :@0.305769:0.573792:0.324802:0.573792:0.324802:0.557358:0.305769:0.557358:0.000000:0.000000:0.000000
Log x :@0.324802:0.573792:0.369936:0.573792:0.369936:0.557385:0.324802:0.557385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( + 1) + 2.:@0.350259:0.573792:0.430018:0.573792:0.430018:0.557358:0.350259:0.557358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.178436:0.540440:0.182853:0.540440:0.182853:0.531476:0.178436:0.531476:0.000000
x:@0.247100:0.578262:0.251407:0.578262:0.251407:0.569298:0.247100:0.569298:0.000000
b. :@0.104633:0.693327:0.121531:0.693327:0.121531:0.676893:0.104633:0.676893:0.000000:0.000000:0.000000
y:@0.300063:0.662336:0.307536:0.662336:0.307536:0.645930:0.300063:0.645930:0.000000
 = :@0.307536:0.662336:0.326569:0.662336:0.326569:0.645902:0.307536:0.645902:0.000000:0.000000:0.000000
Log x :@0.326569:0.662336:0.371704:0.662336:0.371704:0.645930:0.326569:0.645930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( + 2) – 1.:@0.352026:0.662336:0.430018:0.662336:0.430018:0.645902:0.352026:0.645902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.178436:0.629407:0.182853:0.629407:0.182853:0.620443:0.178436:0.620443:0.000000
x:@0.247100:0.667229:0.251407:0.667229:0.251407:0.658265:0.247100:0.658265:0.000000
c. :@0.104633:0.781871:0.119708:0.781871:0.119708:0.765437:0.104633:0.765437:0.000000:0.000000:0.000000
y:@0.300063:0.750880:0.307536:0.750880:0.307536:0.734473:0.300063:0.734473:0.000000
 = :@0.307536:0.750880:0.326569:0.750880:0.326569:0.734446:0.307536:0.734446:0.000000:0.000000:0.000000
Log x :@0.326569:0.750880:0.371704:0.750880:0.371704:0.734473:0.326569:0.734473:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ( – 2) + 1.:@0.352026:0.750880:0.430018:0.750880:0.430018:0.734446:0.352026:0.734446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.178436:0.718373:0.182853:0.718373:0.182853:0.709409:0.178436:0.709409:0.000000
x:@0.247100:0.756195:0.251407:0.756195:0.251407:0.747231:0.247100:0.747231:0.000000
n:@0.597679:0.423338:0.607062:0.423338:0.607062:0.407413:0.597679:0.407413:0.000000
2:@0.647668:0.423338:0.656681:0.423338:0.656681:0.407426:0.647668:0.407426:0.000000
10 100 500:@0.676360:0.423338:0.779535:0.423338:0.779535:0.407426:0.676360:0.407426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1000:@0.797790:0.423338:0.833845:0.423338:0.833845:0.407426:0.797790:0.407426:0.000000:0.000000:0.000000:0.000000
5000:@0.854719:0.423338:0.890774:0.423338:0.890774:0.407426:0.854719:0.407426:0.000000:0.000000:0.000000:0.000000
   1 + :@0.571060:0.454712:0.608468:0.454712:0.608468:0.439025:0.571060:0.439025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.608459:0.448316:0.617033:0.448316:0.617033:0.432630:0.608459:0.432630:0.000000
n:@0.608038:0.463274:0.617455:0.463274:0.617455:0.447588:0.608038:0.447588:0.000000
n:@0.623332:0.441352:0.628618:0.441352:0.628618:0.432222:0.623332:0.432222:0.000000
4.  Sea f(x) = :@0.514231:0.144306:0.620053:0.144306:0.620053:0.127872:0.514231:0.127872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.633175:0.136836:0.642158:0.136836:0.642158:0.120402:0.633175:0.120402:0.000000
x:@0.642158:0.136836:0.649613:0.136836:0.649613:0.120430:0.642158:0.120430:0.000000
2:@0.649613:0.130772:0.654850:0.130772:0.654850:0.121191:0.649613:0.121191:0.000000
x:@0.623659:0.153226:0.631114:0.153226:0.631114:0.136820:0.623659:0.136820:0.000000
2:@0.631114:0.147162:0.636350:0.147162:0.636350:0.137581:0.631114:0.137581:0.000000
 + 4:@0.636351:0.153226:0.664367:0.153226:0.664367:0.136792:0.636351:0.136792:0.000000:0.000000:0.000000:0.000000
. Aplica las leyes de los logaritmos :@0.666705:0.144309:0.930877:0.144309:0.930877:0.127875:0.666705:0.127875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para escribir ln f(x) como una expresión que incluya :@0.544352:0.168259:0.931042:0.168259:0.931042:0.151825:0.544352:0.151825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumas, diferencias y múltiplos de los logaritmos :@0.544352:0.187175:0.930965:0.187175:0.930965:0.170741:0.544352:0.170741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales.:@0.544352:0.206091:0.613852:0.206091:0.613852:0.189658:0.544352:0.189658:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.545774:0.241022:0.561218:0.241022:0.561218:0.224588:0.545774:0.224588:0.000000:0.000000:0.000000
1:@0.578599:0.233552:0.587582:0.233552:0.587582:0.217118:0.578599:0.217118:0.000000
2:@0.578599:0.249944:0.587582:0.249944:0.587582:0.233510:0.578599:0.233510:0.000000
  ln x:@0.590141:0.241027:0.621212:0.241027:0.621212:0.224621:0.590141:0.224621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   + ln(  + 5).:@0.609800:0.241027:0.706634:0.241022:0.706634:0.224588:0.609800:0.224593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.658340:0.241027:0.665795:0.241027:0.665795:0.224621:0.658340:0.224621:0.000000
2:@0.665716:0.234958:0.670953:0.234958:0.670953:0.225377:0.665716:0.225377:0.000000
b. :@0.545774:0.275532:0.562672:0.275532:0.562672:0.259098:0.545774:0.259098:0.000000:0.000000:0.000000
ln:@0.575976:0.275532:0.589192:0.275532:0.589192:0.259126:0.575976:0.259126:0.000000:0.000000
 2 + ln   –  (  – 1).:@0.589137:0.275532:0.722055:0.275532:0.722055:0.259098:0.589137:0.259098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ln x:@0.638339:0.275532:0.688168:0.275532:0.688168:0.259126:0.638339:0.259126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c. :@0.545774:0.305289:0.560850:0.305289:0.560850:0.288856:0.545774:0.288856:0.000000:0.000000:0.000000
1:@0.578599:0.297821:0.587582:0.297821:0.587582:0.281387:0.578599:0.281387:0.000000
2:@0.578599:0.314213:0.587582:0.314213:0.587582:0.297779:0.578599:0.297779:0.000000
  ln x:@0.590141:0.305296:0.621212:0.305296:0.621212:0.288890:0.590141:0.288890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   – 2 (  – 1) –     (  + 1).:@0.609800:0.305296:0.809565:0.305289:0.809565:0.288856:0.609800:0.288862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln x:@0.647056:0.305296:0.672476:0.305296:0.672476:0.288890:0.647056:0.288890:0.000000:0.000000:0.000000:0.000000
1:@0.727091:0.296927:0.736073:0.296927:0.736073:0.280493:0.727091:0.280493:0.000000
3:@0.727091:0.313319:0.736073:0.313319:0.736073:0.296885:0.727091:0.296885:0.000000
ln x:@0.743307:0.305289:0.768728:0.305289:0.768728:0.288883:0.743307:0.288883:0.000000:0.000000:0.000000:0.000000
2:@0.768648:0.299225:0.773884:0.299225:0.773884:0.289645:0.768648:0.289645:0.000000
5.  Usa una calculadora para completar la tabla. Anota :@0.514231:0.346948:0.930736:0.346948:0.930736:0.330514:0.514231:0.330514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cada valor con aproximación hasta diezmilésimas :@0.544359:0.363590:0.931071:0.363590:0.931071:0.347156:0.544359:0.347156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(cuatro cifras):@0.544359:0.380232:0.641608:0.380232:0.641608:0.363798:0.544359:0.363798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.  Resuelve el siguiente problema. :@0.514231:0.504843:0.806984:0.504843:0.806984:0.488409:0.514231:0.488409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sustancia :@0.810608:0.505000:0.931142:0.505000:0.931142:0.487819:0.810608:0.487819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radiactiva se desintegra (y se convierte en otro :@0.544349:0.522399:0.931315:0.522399:0.931315:0.505218:0.544349:0.505218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento químico) de acuerdo con la fórmula   = :@0.544349:0.539797:0.931113:0.539797:0.931113:0.522616:0.544349:0.522616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.903017:0.539797:0.910830:0.539797:0.910830:0.522645:0.903017:0.522645:0.000000
Ae:@0.544329:0.557195:0.562650:0.557195:0.562650:0.540043:0.544329:0.540043:0.000000:0.000000
–0,2:@0.562680:0.550856:0.581226:0.550856:0.581226:0.540840:0.562680:0.540840:0.000000:0.000000:0.000000:0.000000
x:@0.581237:0.550856:0.585781:0.550856:0.585781:0.540857:0.581237:0.540857:0.000000
, donde   es la cantidad remanente después :@0.585787:0.557195:0.931135:0.557195:0.931135:0.540014:0.585787:0.540014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.649542:0.557195:0.657355:0.557195:0.657355:0.540043:0.649542:0.540043:0.000000
de   años.:@0.544354:0.574593:0.619265:0.574593:0.619265:0.557413:0.544354:0.557413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.568121:0.574593:0.575914:0.574593:0.575914:0.557442:0.568121:0.557442:0.000000
a.  Si tenemos la cantidad inicial   = 80 g, ¿qué :@0.545774:0.608947:0.930921:0.608947:0.930921:0.592514:0.545774:0.592514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.811494:0.608947:0.821379:0.608947:0.821379:0.592541:0.811494:0.592541:0.000000
cantidad quedará después de 3 años?:@0.575883:0.625589:0.850069:0.625589:0.850069:0.609155:0.575883:0.609155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  La vida media de una sustancia radiactiva es el :@0.545774:0.660100:0.931033:0.660100:0.931033:0.643666:0.545774:0.643666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempo que tarda en descomponerse la mitad de :@0.575902:0.676741:0.930744:0.676741:0.930744:0.660308:0.575902:0.660308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dicha sustancia. Encuentra la vida media de esta :@0.575902:0.693383:0.930888:0.693383:0.930888:0.676949:0.575902:0.676949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sustancia, en la que   = 80 g.:@0.575902:0.710025:0.776368:0.710025:0.776368:0.693591:0.575902:0.693591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.715300:0.710025:0.725185:0.710025:0.725185:0.693619:0.715300:0.693619:0.000000
7.  Escribe verdadero (V) o falso (F). :@0.514231:0.751683:0.779382:0.751683:0.779382:0.735249:0.514231:0.735249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justifica tu respuesta.:@0.544340:0.768324:0.697997:0.768324:0.697997:0.751891:0.544340:0.751891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.545774:0.793186:0.561218:0.793186:0.561218:0.776753:0.545774:0.776753:0.000000:0.000000:0.000000
log:@0.575976:0.793186:0.598083:0.793186:0.598083:0.776780:0.575976:0.776780:0.000000:0.000000:0.000000
(2) + :@0.598027:0.793186:0.635431:0.793186:0.635431:0.776753:0.598027:0.776753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.635321:0.793186:0.657428:0.793186:0.657428:0.776780:0.635321:0.776780:0.000000:0.000000:0.000000
(3) = :@0.657372:0.793186:0.694776:0.793186:0.694776:0.776753:0.657372:0.776753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.694665:0.793186:0.716773:0.793186:0.716773:0.776780:0.694665:0.776780:0.000000:0.000000:0.000000
(5).:@0.716717:0.793186:0.738438:0.793186:0.738438:0.776753:0.716717:0.776753:0.000000:0.000000:0.000000:0.000000
b. :@0.545774:0.818048:0.562672:0.818048:0.562672:0.801614:0.545774:0.801614:0.000000:0.000000:0.000000
log:@0.575976:0.818048:0.598083:0.818048:0.598083:0.801642:0.575976:0.801642:0.000000:0.000000:0.000000
(2) + :@0.598027:0.818048:0.635431:0.818048:0.635431:0.801614:0.598027:0.801614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.635321:0.818048:0.657428:0.818048:0.657428:0.801642:0.635321:0.801642:0.000000:0.000000:0.000000
(3) = :@0.657372:0.818048:0.694776:0.818048:0.694776:0.801614:0.657372:0.801614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.694665:0.818048:0.716773:0.818048:0.716773:0.801642:0.694665:0.801642:0.000000:0.000000:0.000000
(6).:@0.716717:0.818048:0.738438:0.818048:0.738438:0.801614:0.716717:0.801614:0.000000:0.000000:0.000000:0.000000
c. :@0.545774:0.842909:0.560850:0.842909:0.560850:0.826475:0.545774:0.826475:0.000000:0.000000:0.000000
log:@0.575976:0.842909:0.598083:0.842909:0.598083:0.826503:0.575976:0.826503:0.000000:0.000000:0.000000
(15) – :@0.598027:0.842909:0.642573:0.842909:0.642573:0.826475:0.598027:0.826475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.642444:0.842909:0.664551:0.842909:0.664551:0.826503:0.642444:0.826503:0.000000:0.000000:0.000000
(5) = :@0.664496:0.842909:0.701900:0.842909:0.701900:0.826475:0.664496:0.826475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.701789:0.842909:0.723896:0.842909:0.723896:0.826503:0.701789:0.826503:0.000000:0.000000:0.000000
(3).:@0.723841:0.842909:0.745562:0.842909:0.745562:0.826475:0.723841:0.826475:0.000000:0.000000:0.000000:0.000000
d.  2:@0.545774:0.867771:0.584958:0.867771:0.584958:0.851337:0.545774:0.851337:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.584885:0.867771:0.606992:0.867771:0.606992:0.851365:0.584885:0.851365:0.000000:0.000000:0.000000
(4) = :@0.606937:0.867771:0.644340:0.867771:0.644340:0.851337:0.606937:0.851337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.644230:0.867771:0.666337:0.867771:0.666337:0.851365:0.644230:0.851365:0.000000:0.000000:0.000000
(2 ).:@0.666282:0.867771:0.693175:0.867771:0.693175:0.851337:0.666282:0.851337:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.679977:0.861707:0.685213:0.861707:0.685213:0.852126:0.679977:0.852126:0.000000
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