﻿185:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.522009:0.043661:0.926913:0.043661:0.926913:0.024916:0.522009:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los ejercicios del 1 al 5, determina el intervalo donde :@0.073089:0.136836:0.489958:0.136836:0.489958:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crece y donde decrece la función dada.:@0.073089:0.153478:0.357577:0.153478:0.357577:0.137044:0.073089:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.    = 5 + 5:@0.073089:0.180841:0.178040:0.180841:0.178040:0.164172:0.073089:0.164172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.107116:0.180841:0.118511:0.180841:0.118511:0.164158:0.107116:0.164158:0.000000:0.000000
x :@0.142532:0.180841:0.153926:0.180841:0.153926:0.164158:0.142532:0.164158:0.000000:0.000000
2.     = :@0.073089:0.249717:0.133789:0.249717:0.133789:0.233047:0.073089:0.233047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.249717:0.115234:0.249717:0.115234:0.233034:0.107116:0.233034:0.000000
3.     = sen  ,    0 ≤   ≤ 2:@0.073089:0.312819:0.255037:0.312819:0.255037:0.296149:0.073089:0.296149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.312819:0.115234:0.312819:0.115234:0.296135:0.107116:0.296135:0.000000
x:@0.164013:0.312819:0.172131:0.312819:0.172131:0.296135:0.164013:0.296135:0.000000
x:@0.218996:0.312819:0.227113:0.312819:0.227113:0.296135:0.218996:0.296135:0.000000
p:@0.254945:0.312264:0.267223:0.312264:0.267223:0.298548:0.254945:0.298548:0.000000
4.    = :@0.073089:0.379588:0.129960:0.379588:0.129960:0.362918:0.073089:0.362918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.379588:0.115234:0.379588:0.115234:0.362904:0.107116:0.362904:0.000000
5.     =(:@0.073089:0.442689:0.135114:0.442689:0.135114:0.426020:0.073089:0.426020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.442689:0.115234:0.442689:0.115234:0.426006:0.107116:0.426006:0.000000
x :@0.135022:0.442689:0.146416:0.442689:0.146416:0.426006:0.135022:0.426006:0.000000:0.000000
–:@0.146361:0.443272:0.155564:0.443272:0.155564:0.425617:0.146361:0.425617:0.000000
1):@0.155472:0.442689:0.170069:0.442689:0.170069:0.426020:0.155472:0.426020:0.000000:0.000000
2:@0.169988:0.436625:0.175494:0.436625:0.175494:0.426907:0.169988:0.426907:0.000000
En los ejercicios del 6 al 10, utiliza el criterio de concavidad :@0.073089:0.495068:0.489452:0.495068:0.489452:0.478634:0.073089:0.478634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para determinar en qué intervalos la función dada es :@0.073089:0.511710:0.489825:0.511710:0.489825:0.495276:0.073089:0.495276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cóncava hacia arriba y en dónde es cóncava hacia abajo. :@0.073089:0.528352:0.489945:0.528352:0.489945:0.511918:0.073089:0.511918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determina también los puntos de inflexión.:@0.073089:0.544994:0.387788:0.544994:0.387788:0.528560:0.073089:0.528560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.     = 4:@0.073089:0.572357:0.143158:0.572357:0.143158:0.555687:0.073089:0.555687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.572357:0.115234:0.572357:0.115234:0.555673:0.107116:0.555673:0.000000
x:@0.143066:0.572357:0.151183:0.572357:0.151183:0.555673:0.143066:0.555673:0.000000
3 :@0.151119:0.566293:0.158857:0.566293:0.158857:0.556575:0.151119:0.556575:0.000000:0.000000
–:@0.158809:0.572939:0.168012:0.572939:0.168012:0.555285:0.158809:0.555285:0.000000
 15   :@0.167920:0.572357:0.206391:0.572357:0.206391:0.555687:0.167920:0.555687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.190469:0.572357:0.198587:0.572357:0.198587:0.555673:0.190469:0.555673:0.000000
7.     =     4  :@0.073089:0.635458:0.190797:0.635458:0.190797:0.618789:0.073089:0.618789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.635458:0.115234:0.635458:0.115234:0.618775:0.107116:0.618775:0.000000
x:@0.133697:0.635458:0.141814:0.635458:0.141814:0.618775:0.133697:0.618775:0.000000
4:@0.141755:0.629395:0.147260:0.629395:0.147260:0.619676:0.141755:0.619676:0.000000
–:@0.151042:0.636041:0.160246:0.636041:0.160246:0.618387:0.151042:0.618387:0.000000
x:@0.173352:0.635458:0.181470:0.635458:0.181470:0.618775:0.173352:0.618775:0.000000
2:@0.181389:0.629395:0.186895:0.629395:0.186895:0.619676:0.181389:0.619676:0.000000
8.    = :@0.073089:0.704192:0.129960:0.704192:0.129960:0.687522:0.073089:0.687522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.704192:0.115234:0.704192:0.115234:0.687508:0.107116:0.687508:0.000000
9.     = 2 +  sen  :@0.073089:0.767293:0.213205:0.767293:0.213205:0.750624:0.073089:0.750624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.767293:0.115234:0.767293:0.115234:0.750610:0.107116:0.750610:0.000000
x:@0.143066:0.767293:0.151183:0.767293:0.151183:0.750610:0.143066:0.750610:0.000000
2 :@0.151119:0.761229:0.158857:0.761229:0.158857:0.751511:0.151119:0.751511:0.000000:0.000000
2:@0.203843:0.761229:0.209348:0.761229:0.209348:0.751511:0.203843:0.751511:0.000000
x:@0.213132:0.767293:0.221249:0.767293:0.221249:0.750610:0.213132:0.750610:0.000000
10.  y=   (:@0.073089:0.834229:0.149602:0.834229:0.149602:0.817559:0.073089:0.817559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.128600:0.826645:0.138379:0.826645:0.138379:0.808756:0.128600:0.808756:0.000000
3:@0.128600:0.844198:0.138379:0.844198:0.138379:0.826309:0.128600:0.826309:0.000000
x :@0.149528:0.834229:0.160922:0.834229:0.160922:0.817545:0.149528:0.817545:0.000000:0.000000
–:@0.160867:0.834811:0.170070:0.834811:0.170070:0.817157:0.160867:0.817157:0.000000
 1) + 2:@0.169978:0.834229:0.220160:0.834229:0.220160:0.817559:0.169978:0.817559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 :@0.188302:0.828165:0.196039:0.828165:0.196039:0.818446:0.188302:0.818446:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los ejercicios del 11 al 15, evalúa los límites dados :@0.514231:0.136836:0.930620:0.136836:0.930620:0.120402:0.514231:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicando la regla de l'Hôpital.:@0.514231:0.153478:0.731716:0.153478:0.731716:0.137044:0.514231:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11. :@0.514231:0.184978:0.540608:0.184978:0.540608:0.168308:0.514231:0.168308:0.000000:0.000000:0.000000:0.000000
12. :@0.514231:0.246999:0.540608:0.246999:0.540608:0.230329:0.514231:0.230329:0.000000:0.000000:0.000000:0.000000
13. :@0.514231:0.308303:0.540608:0.308303:0.540608:0.291633:0.514231:0.291633:0.000000:0.000000:0.000000:0.000000
14. :@0.514231:0.366270:0.540608:0.366270:0.540608:0.349601:0.514231:0.349601:0.000000:0.000000:0.000000:0.000000
15. :@0.514231:0.434668:0.540608:0.434668:0.540608:0.417999:0.514231:0.417999:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.522976:0.521771:0.664304:0.521771:0.664304:0.506617:0.522976:0.506617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formen grupos de tres estudiantes  para responder los :@0.524904:0.544246:0.919611:0.544246:0.919611:0.527812:0.524904:0.527812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejercicios del 1 al 5; grafiquen la función dada y :@0.524904:0.560888:0.919555:0.560888:0.919555:0.544454:0.524904:0.544454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
destaquen todos los aspectos importantes de la curva. :@0.524904:0.577530:0.919625:0.577530:0.919625:0.561096:0.524904:0.561096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Usen f´y f” para determinar en qué intervalos crece o :@0.524904:0.594171:0.919627:0.594171:0.919627:0.577738:0.524904:0.577738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decrece y para encontrar los valores extremos. Por :@0.524904:0.610813:0.919489:0.610813:0.919489:0.594379:0.524904:0.594379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
último, elaboren un análisis de la concavidad y enc :@0.524904:0.627455:0.919673:0.627455:0.919673:0.611021:0.524904:0.611021:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
encuentren los puntos de inflexión.:@0.524904:0.644097:0.781302:0.644097:0.781302:0.627663:0.524904:0.627663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.     =   (:@0.524904:0.671460:0.608084:0.671460:0.608084:0.654791:0.524904:0.654791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558930:0.671460:0.567048:0.671460:0.567048:0.654777:0.558930:0.654777:0.000000
x x:@0.585510:0.671460:0.616128:0.671460:0.616128:0.654777:0.585510:0.654777:0.000000:0.000000:0.000000
2:@0.593570:0.665396:0.599075:0.665396:0.599075:0.655678:0.593570:0.655678:0.000000
2 :@0.616053:0.665396:0.623791:0.665396:0.623791:0.655678:0.616053:0.655678:0.000000:0.000000
–:@0.623742:0.672043:0.632946:0.672043:0.632946:0.654388:0.623742:0.654388:0.000000
 1) :@0.632854:0.671460:0.655182:0.671460:0.655182:0.654791:0.632854:0.654791:0.000000:0.000000:0.000000:0.000000
2.     =  (:@0.524904:0.727413:0.598782:0.727413:0.598782:0.710744:0.524904:0.710744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558930:0.727413:0.567048:0.727413:0.567048:0.710730:0.558930:0.710730:0.000000
x x :@0.585510:0.727413:0.610103:0.727413:0.610103:0.710730:0.585510:0.710730:0.000000:0.000000:0.000000:0.000000
–:@0.610047:0.727996:0.619251:0.727996:0.619251:0.710342:0.610047:0.710342:0.000000
 4):@0.619159:0.727413:0.637585:0.727413:0.637585:0.710744:0.619159:0.710744:0.000000:0.000000:0.000000
3:@0.637503:0.721350:0.643008:0.721350:0.643008:0.711631:0.637503:0.711631:0.000000
3.     = :@0.524904:0.788094:0.585603:0.788094:0.585603:0.771425:0.524904:0.771425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558930:0.788094:0.567048:0.788094:0.567048:0.771411:0.558930:0.771411:0.000000
4.     = :@0.524904:0.846044:0.585603:0.846044:0.585603:0.829375:0.524904:0.829375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558930:0.846044:0.567048:0.846044:0.567048:0.829361:0.558930:0.829361:0.000000
5.     = :@0.524904:0.906560:0.585603:0.906560:0.585603:0.889890:0.524904:0.889890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.558930:0.906560:0.567048:0.906560:0.567048:0.889876:0.558930:0.889876:0.000000
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