46:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales y funciones:@0.073089:0.043661:0.318030:0.043661:0.318030:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Si ( ) :@0.073089:0.144991:0.147723:0.144991:0.147723:0.128321:0.073089:0.128321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.120333:0.144991:0.138740:0.144991:0.138740:0.128307:0.120333:0.128307:0.000000:0.000000:0.000000 5 :@0.147649:0.144436:0.167492:0.144436:0.167492:0.130720:0.147649:0.130720:0.000000:0.000000 x B:@0.173551:0.136399:0.203555:0.136399:0.203555:0.121232:0.173551:0.121232:0.000000:0.000000:0.000000 2:@0.180931:0.135894:0.194870:0.135894:0.194870:0.123426:0.180931:0.123426:0.000000 x A:@0.173133:0.152788:0.203957:0.152788:0.203957:0.137622:0.173133:0.137622:0.000000:0.000000:0.000000 2:@0.180512:0.152284:0.194452:0.152284:0.194452:0.139815:0.180512:0.139815:0.000000 :@0.203965:0.153261:0.208179:0.153261:0.208179:0.136834:0.203965:0.136834:0.000000 ( 9) 0 y ( 6) no está definido, determina el valor de A y el valor de B.:@0.209609:0.144991:0.763642:0.144991:0.763642:0.128321:0.209609:0.128321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.213438:0.144991:0.218647:0.144991:0.218647:0.128307:0.213438:0.128307:0.000000 2 5:@0.223728:0.144436:0.272636:0.144436:0.272636:0.130720:0.223728:0.130720:0.000000:0.000000:0.000000 f:@0.301977:0.144991:0.307186:0.144991:0.307186:0.128307:0.301977:0.128307:0.000000 2:@0.312267:0.144436:0.327600:0.144436:0.327600:0.130720:0.312267:0.130720:0.000000 2. Si ( ) :@0.073089:0.183324:0.151552:0.183324:0.151552:0.166654:0.073089:0.166654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.124162:0.183324:0.142569:0.183324:0.142569:0.166640:0.124162:0.166640:0.000000:0.000000:0.000000 x:@0.161657:0.172617:0.169036:0.172617:0.169036:0.157451:0.161657:0.157451:0.000000 2:@0.169036:0.172113:0.182976:0.172113:0.182976:0.159644:0.169036:0.159644:0.000000 5:@0.182976:0.172617:0.191560:0.172617:0.191560:0.157463:0.182976:0.157463:0.000000 A:@0.191560:0.172617:0.201065:0.172617:0.201065:0.157451:0.191560:0.157451:0.000000 2 1:@0.155147:0.188503:0.198990:0.188503:0.198990:0.176034:0.155147:0.176034:0.000000:0.000000:0.000000 5:@0.169087:0.189007:0.177671:0.189007:0.177671:0.173853:0.169087:0.173853:0.000000 x:@0.177671:0.189007:0.185051:0.189007:0.185051:0.173840:0.177671:0.173840:0.000000 5:@0.198990:0.189007:0.207574:0.189007:0.207574:0.173853:0.198990:0.173853:0.000000 :@0.207574:0.189480:0.211789:0.189480:0.211789:0.173053:0.207574:0.173053:0.000000 y ( 5) 10, ¿cuál es el valor de ?:@0.211166:0.183324:0.494472:0.183324:0.494472:0.166654:0.211166:0.166654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.227401:0.183324:0.232610:0.183324:0.232610:0.166640:0.227401:0.166640:0.000000 2 5 2:@0.237690:0.182769:0.305668:0.182769:0.305668:0.169053:0.237690:0.169053:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.476617:0.183324:0.487072:0.183324:0.487072:0.166640:0.476617:0.166640:0.000000 3. Dada la función ( ) 7 14 7, encuentra el intercepto con el eje .:@0.073089:0.214261:0.652592:0.214261:0.652592:0.197592:0.073089:0.197592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.225954:0.214261:0.244361:0.214261:0.244361:0.197578:0.225954:0.197578:0.000000:0.000000:0.000000 5:@0.253270:0.213706:0.268603:0.213706:0.268603:0.199991:0.253270:0.199991:0.000000 x:@0.281709:0.214261:0.289827:0.214261:0.289827:0.197578:0.281709:0.197578:0.000000 2:@0.289754:0.208197:0.295260:0.208197:0.295260:0.198479:0.289754:0.198479:0.000000 1:@0.299043:0.213706:0.314377:0.213706:0.314377:0.199991:0.299043:0.199991:0.000000 x:@0.336834:0.214261:0.344951:0.214261:0.344951:0.197578:0.336834:0.197578:0.000000 2:@0.348706:0.213706:0.364039:0.213706:0.364039:0.199991:0.348706:0.199991:0.000000 y:@0.641382:0.214261:0.648855:0.214261:0.648855:0.198826:0.641382:0.198826:0.000000 4. Con base en la gráfica dada, para cuáles valores de se cumple que::@0.073089:0.245197:0.614531:0.245197:0.614531:0.228528:0.073089:0.228528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.487981:0.245197:0.496099:0.245197:0.496099:0.228514:0.487981:0.228514:0.000000 a. :@0.104633:0.276135:0.120077:0.276135:0.120077:0.260422:0.104633:0.260422:0.000000:0.000000:0.000000 f x:@0.134834:0.276135:0.153241:0.276135:0.153241:0.259451:0.134834:0.259451:0.000000:0.000000:0.000000 ( ) 30:@0.139970:0.276135:0.215274:0.276135:0.215274:0.259465:0.139970:0.259465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.162150:0.275580:0.196553:0.275580:0.196553:0.261864:0.162150:0.261864:0.000000:0.000000:0.000000 :@0.215187:0.276135:0.235050:0.276135:0.235050:0.260422:0.215187:0.260422:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.293970:0.276135:0.310868:0.276135:0.310868:0.260422:0.293970:0.260422:0.000000:0.000000:0.000000 f x:@0.319077:0.276135:0.337484:0.276135:0.337484:0.259451:0.319077:0.259451:0.000000:0.000000:0.000000 ( ) 20:@0.324213:0.276135:0.384276:0.276135:0.384276:0.259465:0.324213:0.259465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.346394:0.275580:0.361727:0.275580:0.361727:0.261864:0.346394:0.261864:0.000000 c.:@0.496455:0.276135:0.507591:0.276135:0.507591:0.260422:0.496455:0.260422:0.000000:0.000000 f x:@0.524904:0.276135:0.543311:0.276135:0.543311:0.259451:0.524904:0.259451:0.000000:0.000000:0.000000 ( ) 40:@0.530039:0.276135:0.605343:0.276135:0.605343:0.259465:0.530039:0.259465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 2:@0.552220:0.275580:0.586623:0.275580:0.586623:0.261864:0.552220:0.261864:0.000000:0.000000:0.000000 2:@0.710298:0.488669:0.719601:0.488669:0.719601:0.480426:0.710298:0.480426:0.000000 20:@0.719601:0.489002:0.730501:0.489002:0.730501:0.479560:0.719601:0.479560:0.000000:0.000000 2:@0.686633:0.441232:0.695936:0.441232:0.695936:0.432989:0.686633:0.432989:0.000000 10:@0.695936:0.441565:0.706836:0.441565:0.706836:0.432122:0.695936:0.432122:0.000000:0.000000 10:@0.764541:0.441657:0.775441:0.441657:0.775441:0.432214:0.764541:0.432214:0.000000:0.000000 2:@0.709874:0.461866:0.719177:0.461866:0.719177:0.453624:0.709874:0.453624:0.000000 10:@0.719177:0.462200:0.730077:0.462200:0.730077:0.452757:0.719177:0.452757:0.000000:0.000000 2:@0.709874:0.515271:0.719177:0.515271:0.719177:0.507029:0.709874:0.507029:0.000000 30:@0.719177:0.515604:0.730077:0.515604:0.730077:0.506162:0.719177:0.506162:0.000000:0.000000 2:@0.709450:0.541973:0.718752:0.541973:0.718752:0.533731:0.709450:0.533731:0.000000 40:@0.718752:0.542307:0.729652:0.542307:0.729652:0.532864:0.718752:0.532864:0.000000:0.000000 2:@0.709450:0.568675:0.718752:0.568675:0.718752:0.560433:0.709450:0.560433:0.000000 50:@0.718752:0.569009:0.729652:0.569009:0.729652:0.559566:0.718752:0.559566:0.000000:0.000000 0:@0.727162:0.439906:0.732612:0.439906:0.732612:0.430464:0.727162:0.430464:0.000000 10:@0.718752:0.408879:0.729652:0.408879:0.729652:0.399436:0.718752:0.399436:0.000000:0.000000 20:@0.718328:0.382085:0.729228:0.382085:0.729228:0.372642:0.718328:0.372642:0.000000:0.000000 30:@0.718328:0.355074:0.729228:0.355074:0.729228:0.345632:0.718328:0.345632:0.000000:0.000000 40:@0.718752:0.328772:0.729652:0.328772:0.729652:0.319330:0.718752:0.319330:0.000000:0.000000 50:@0.718752:0.302170:0.729652:0.302170:0.729652:0.292727:0.718752:0.292727:0.000000:0.000000 20:@0.800000:0.441657:0.810900:0.441657:0.810900:0.432214:0.800000:0.432214:0.000000:0.000000 30:@0.836128:0.441657:0.847028:0.441657:0.847028:0.432214:0.836128:0.432214:0.000000:0.000000 40:@0.872257:0.441657:0.883157:0.441657:0.883157:0.432214:0.872257:0.432214:0.000000:0.000000 50:@0.907693:0.441657:0.918593:0.441657:0.918593:0.432214:0.907693:0.432214:0.000000:0.000000 2:@0.651443:0.441232:0.660746:0.441232:0.660746:0.432989:0.651443:0.432989:0.000000 20:@0.660746:0.441565:0.671646:0.441565:0.671646:0.432122:0.660746:0.432122:0.000000:0.000000 2:@0.614510:0.441232:0.623813:0.441232:0.623813:0.432989:0.614510:0.432989:0.000000 30:@0.623813:0.441565:0.634713:0.441565:0.634713:0.432122:0.623813:0.432122:0.000000:0.000000 2:@0.578828:0.441232:0.588131:0.441232:0.588131:0.432989:0.578828:0.432989:0.000000 40:@0.588131:0.441565:0.599031:0.441565:0.599031:0.432122:0.588131:0.432122:0.000000:0.000000 2:@0.543559:0.441232:0.552862:0.441232:0.552862:0.432990:0.543559:0.432990:0.000000 50:@0.552861:0.441565:0.563761:0.441565:0.563761:0.432123:0.552861:0.432123:0.000000:0.000000 y:@0.724378:0.292257:0.729245:0.292257:0.729245:0.282814:0.724378:0.282814:0.000000 x:@0.918337:0.440002:0.923083:0.440002:0.923083:0.430560:0.918337:0.430560:0.000000 5. Comprueba algebraicamente si la función ( ) 5 es par, impar o ninguna de las dos.:@0.073089:0.604008:0.793465:0.604008:0.793465:0.587338:0.073089:0.587338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.423574:0.604008:0.441981:0.604008:0.441981:0.587324:0.423574:0.587324:0.000000:0.000000:0.000000 5:@0.450891:0.603453:0.466224:0.603453:0.466224:0.589737:0.450891:0.589737:0.000000 x:@0.479330:0.604008:0.487447:0.604008:0.487447:0.587324:0.479330:0.587324:0.000000 4:@0.487380:0.597944:0.492885:0.597944:0.492885:0.588226:0.487380:0.588226:0.000000 2:@0.496667:0.603453:0.512000:0.603453:0.512000:0.589737:0.496667:0.589737:0.000000 x:@0.515737:0.604008:0.523855:0.604008:0.523855:0.587324:0.515737:0.587324:0.000000 2:@0.523779:0.597944:0.529285:0.597944:0.529285:0.588226:0.523779:0.588226:0.000000 6. Grafica la función ( ) :@0.073089:0.632111:0.285280:0.632111:0.285280:0.615442:0.073089:0.615442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.238821:0.632111:0.257228:0.632111:0.257228:0.615428:0.238821:0.615428:0.000000:0.000000:0.000000 5:@0.266137:0.631556:0.281470:0.631556:0.281470:0.617841:0.266137:0.617841:0.000000 1:@0.296113:0.625560:0.304698:0.625560:0.304698:0.610406:0.296113:0.610406:0.000000 x:@0.285454:0.641950:0.292833:0.641950:0.292833:0.626783:0.285454:0.626783:0.000000 1:@0.292833:0.641446:0.306773:0.641446:0.306773:0.628977:0.292833:0.628977:0.000000 4:@0.306773:0.641950:0.315357:0.641950:0.315357:0.626796:0.306773:0.626796:0.000000 :@0.315357:0.642423:0.319572:0.642423:0.319572:0.625996:0.315357:0.625996:0.000000 6.:@0.315523:0.632111:0.351601:0.632111:0.351601:0.615442:0.315523:0.615442:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.319352:0.631556:0.334685:0.631556:0.334685:0.617841:0.319352:0.617841:0.000000 2:@0.280032:0.846419:0.289416:0.846419:0.289416:0.838105:0.280032:0.838105:0.000000 5:@0.289416:0.846755:0.294913:0.846755:0.294913:0.836794:0.289416:0.836794:0.000000 2:@0.273679:0.900186:0.283062:0.900186:0.283062:0.891872:0.273679:0.891872:0.000000 10:@0.283062:0.900522:0.294057:0.900522:0.294057:0.890560:0.283062:0.890560:0.000000:0.000000 0:@0.291545:0.797234:0.297042:0.797234:0.297042:0.787273:0.291545:0.787273:0.000000 5:@0.288131:0.738911:0.293629:0.738911:0.293629:0.728950:0.288131:0.728950:0.000000 10:@0.283062:0.685136:0.294057:0.685136:0.294057:0.675175:0.283062:0.675175:0.000000:0.000000 5:@0.367762:0.798999:0.373259:0.798999:0.373259:0.789038:0.367762:0.789038:0.000000 10:@0.437896:0.798999:0.448891:0.798999:0.448891:0.789038:0.437896:0.789038:0.000000:0.000000 2:@0.217918:0.798571:0.227302:0.798571:0.227302:0.790257:0.217918:0.790257:0.000000 5:@0.227302:0.798907:0.232799:0.798907:0.232799:0.788945:0.227302:0.788945:0.000000 2:@0.141926:0.798571:0.151310:0.798571:0.151310:0.790257:0.141926:0.790257:0.000000 10:@0.151310:0.798907:0.162304:0.798907:0.162304:0.788945:0.151310:0.788945:0.000000:0.000000 y:@0.288737:0.648304:0.293646:0.648304:0.293646:0.638343:0.288737:0.638343:0.000000 x:@0.484376:0.797332:0.489163:0.797332:0.489163:0.787370:0.484376:0.787370:0.000000 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 A=-6 B= -9:@0.784329:0.142961:0.840489:0.142961:0.840489:0.132962:0.784329:0.132962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A=59:@0.533768:0.182899:0.558568:0.182899:0.558568:0.172900:0.533768:0.172900:0.000000:0.000000:0.000000:0.000000 P(0,-7):@0.687065:0.211846:0.715484:0.211846:0.715484:0.201847:0.687065:0.201847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. x=0:@0.629492:0.243299:0.657478:0.243299:0.657478:0.233300:0.629492:0.233300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. No hay un x para el cual f(x)=20:@0.629492:0.253889:0.786999:0.253889:0.786999:0.243890:0.629492:0.243890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. x=20:@0.629492:0.264479:0.662112:0.264479:0.662112:0.254480:0.629492:0.254480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f(-x)=5(-x) -(-x) =5x -x =f(x):@0.804530:0.601391:0.928564:0.601385:0.928564:0.591386:0.804530:0.591392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4:@0.849404:0.597527:0.852736:0.597527:0.852736:0.591697:0.849404:0.591697:0.000000 2:@0.870846:0.597527:0.874179:0.597527:0.874179:0.591697:0.870846:0.591697:0.000000 4:@0.891349:0.597527:0.894681:0.597527:0.894681:0.591697:0.891349:0.591697:0.000000 2:@0.903578:0.597527:0.906910:0.597527:0.906910:0.591697:0.903578:0.591697:0.000000 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