94:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
2. :@0.115209:0.833555:0.133950:0.833555:0.133950:0.816420:0.115209:0.816420:0.000000:0.000000:0.000000
Determina:@0.148452:0.833555:0.230142:0.833555:0.230142:0.816931:0.148452:0.816931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana de la recta :@0.230142:0.833555:0.491463:0.833555:0.491463:0.817166:0.230142:0.817166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente a la elipse :@0.148452:0.851645:0.293577:0.851645:0.293577:0.835256:0.148452:0.835256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.313498:0.842065:0.321054:0.842065:0.321054:0.825316:0.313498:0.825316:0.000000
0,5,3  en el punto dado :@0.312766:0.852666:0.491457:0.851643:0.491457:0.835254:0.312766:0.836277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.306327:0.858301:0.312463:0.858301:0.312463:0.833384:0.306327:0.833384:0.000000
):@0.348895:0.858301:0.355031:0.858301:0.355031:0.833384:0.348895:0.833384:0.000000
E:@0.295647:0.852666:0.303774:0.852666:0.303774:0.836305:0.295647:0.836305:0.000000
en cada inciso.:@0.148447:0.868239:0.255657:0.868239:0.255657:0.851850:0.148447:0.851850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148447:0.901487:0.167170:0.901487:0.167170:0.884587:0.148447:0.884587:0.000000:0.000000:0.000000
:@0.186194:0.893941:0.193749:0.893941:0.193749:0.877192:0.186194:0.877192:0.000000
–2,:@0.217502:0.902267:0.239085:0.902267:0.239085:0.886597:0.217502:0.886597:0.000000:0.000000:0.000000
11:@0.240739:0.893747:0.258522:0.893747:0.258522:0.878078:0.240739:0.878078:0.000000:0.000000
4:@0.244351:0.913193:0.253344:0.913193:0.253344:0.897523:0.244351:0.897523:0.000000
=⎜:@0.197287:0.902945:0.216618:0.904203:0.216618:0.888630:0.197287:0.887372:0.000000:0.000000
⎛:@0.209541:0.893319:0.216618:0.893319:0.216618:0.877746:0.209541:0.877746:0.000000
⎝:@0.209541:0.913469:0.216618:0.913469:0.216618:0.897896:0.209541:0.897896:0.000000
⎞:@0.257803:0.893319:0.264880:0.893319:0.264880:0.877746:0.257803:0.877746:0.000000
⎠:@0.257803:0.913469:0.264880:0.913469:0.264880:0.897896:0.257803:0.897896:0.000000
⎟:@0.257803:0.904203:0.264880:0.904203:0.264880:0.888630:0.257803:0.888630:0.000000
u:@0.184296:0.902267:0.193620:0.902267:0.193620:0.886874:0.184296:0.886874:0.000000
3. :@0.507677:0.833555:0.526418:0.833555:0.526418:0.816420:0.507677:0.816420:0.000000:0.000000:0.000000
Escribe:@0.540921:0.833555:0.595669:0.833555:0.595669:0.816931:0.540921:0.816931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación de la elipse que se trasla-:@0.595669:0.833555:0.879879:0.833555:0.879879:0.817166:0.595669:0.817166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da a un centro dado en cada inciso :@0.540921:0.852669:0.798320:0.852669:0.798320:0.836280:0.540921:0.836280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.825452:0.843087:0.833007:0.843087:0.833007:0.826338:0.825452:0.826338:0.000000
,,:@0.834193:0.851409:0.852215:0.851409:0.852215:0.835020:0.834193:0.835020:0.000000:0.000000
(:@0.800427:0.855792:0.806563:0.855792:0.806563:0.833367:0.800427:0.833367:0.000000
):@0.869899:0.855792:0.876036:0.855792:0.876036:0.833367:0.869899:0.833367:0.000000
(:@0.817546:0.854542:0.823683:0.854542:0.823683:0.834609:0.817546:0.834609:0.000000
):@0.863468:0.854542:0.869604:0.854542:0.869604:0.834609:0.863468:0.834609:0.000000
Ec ab:@0.806867:0.851409:0.862831:0.851409:0.862831:0.835048:0.806867:0.835048:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.879895:0.852668:0.883931:0.852668:0.883931:0.836279:0.879895:0.836279:0.000000:0.000000:0.000000
y :@0.540919:0.869264:0.553063:0.869264:0.553063:0.852875:0.540919:0.852875:0.000000:0.000000
grafica:@0.553063:0.869264:0.604844:0.869264:0.604844:0.852640:0.553063:0.852640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la nueva elipse.:@0.604844:0.869264:0.720290:0.869264:0.720290:0.852875:0.604844:0.852875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.540919:0.894006:0.559641:0.894006:0.559641:0.877106:0.540919:0.877106:0.000000:0.000000:0.000000
:@0.594890:0.884900:0.602446:0.884900:0.602446:0.868151:0.594890:0.868151:0.000000
:@0.650689:0.887182:0.658244:0.887182:0.658244:0.870433:0.650689:0.870433:0.000000
(:@0.587717:0.901136:0.593853:0.901136:0.593853:0.876219:0.587717:0.876219:0.000000
):@0.633104:0.901136:0.639240:0.901136:0.639240:0.876219:0.633104:0.876219:0.000000
():@0.675302:0.898634:0.703275:0.898634:0.703275:0.878701:0.675302:0.878701:0.000000:0.000000
=:@0.662213:0.896179:0.672330:0.896179:0.672330:0.880606:0.662213:0.880606:0.000000
0,4,2:@0.594160:0.895501:0.632932:0.895501:0.632932:0.879112:0.594160:0.879112:0.000000:0.000000:0.000000:0.000000:0.000000
1,1:@0.680585:0.895501:0.699676:0.895501:0.699676:0.879112:0.680585:0.879112:0.000000:0.000000:0.000000
E:@0.576764:0.895501:0.584891:0.895501:0.584891:0.879140:0.576764:0.879140:0.000000
c:@0.649590:0.895501:0.657256:0.895501:0.657256:0.879140:0.649590:0.879140:0.000000
Taller:@0.175844:0.130781:0.236739:0.130781:0.236739:0.096834:0.175844:0.096834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resuelve problemas aplicados a la geometría y a la física. (I.2.) (Ref. I.M.5.6.1.):@0.256865:0.118806:0.608308:0.118806:0.608308:0.108377:0.256865:0.108377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.172018:0.133950:0.172018:0.133950:0.154882:0.115209:0.154882:0.000000:0.000000:0.000000
Encuentra:@0.148452:0.172018:0.226457:0.172018:0.226457:0.155394:0.148452:0.155394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación cartesiana de la recta :@0.226457:0.172018:0.491870:0.172018:0.491870:0.155629:0.226457:0.155629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tangente a la elipse :@0.148452:0.191366:0.294545:0.191366:0.294545:0.174977:0.148452:0.174977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.314778:0.180527:0.322334:0.180527:0.322334:0.163779:0.314778:0.163779:0.000000
0,6,3 en el punto dado :@0.314045:0.191129:0.491891:0.191378:0.491891:0.174989:0.314045:0.174740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.307607:0.196763:0.313743:0.196763:0.313743:0.171846:0.307607:0.171846:0.000000
):@0.351317:0.196763:0.357453:0.196763:0.357453:0.171846:0.351317:0.171846:0.000000
E:@0.296927:0.191129:0.305054:0.191129:0.305054:0.174767:0.296927:0.174767:0.000000
en cada inciso.:@0.148437:0.207974:0.255647:0.207974:0.255647:0.191585:0.148437:0.191585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148437:0.233228:0.167160:0.233228:0.167160:0.216327:0.148437:0.216327:0.000000:0.000000:0.000000
:@0.186194:0.224626:0.193749:0.224626:0.193749:0.207877:0.186194:0.207877:0.000000
6,0:@0.216767:0.232949:0.239838:0.232949:0.239838:0.216560:0.216767:0.216560:0.000000:0.000000:0.000000
(:@0.209960:0.236081:0.216097:0.236081:0.216097:0.216147:0.209960:0.216147:0.000000
):@0.240384:0.236081:0.246521:0.236081:0.246521:0.216147:0.240384:0.216147:0.000000
=:@0.197292:0.233627:0.207409:0.233627:0.207409:0.218054:0.197292:0.218054:0.000000
u:@0.184301:0.232949:0.193625:0.232949:0.193625:0.216588:0.184301:0.216588:0.000000
 :@0.148440:0.352443:0.152255:0.352443:0.152255:0.335542:0.148440:0.335542:0.000000
b) :@0.148451:0.376381:0.168481:0.376381:0.168481:0.359480:0.148451:0.359480:0.000000:0.000000:0.000000
:@0.186194:0.368059:0.193749:0.368059:0.193749:0.351310:0.186194:0.351310:0.000000
–2,2 2:@0.216767:0.376381:0.269986:0.376381:0.269986:0.359992:0.216767:0.359992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.209960:0.383227:0.216097:0.383227:0.216097:0.355819:0.209960:0.355819:0.000000
):@0.271638:0.383227:0.277774:0.383227:0.277774:0.355819:0.271638:0.355819:0.000000
=:@0.197292:0.377058:0.207409:0.377058:0.207409:0.361485:0.197292:0.361485:0.000000
u:@0.184301:0.376381:0.193625:0.376381:0.193625:0.360019:0.184301:0.360019:0.000000
 :@0.148440:0.495612:0.152255:0.495612:0.152255:0.478711:0.148440:0.478711:0.000000
c) :@0.148451:0.524776:0.166086:0.524776:0.166086:0.507875:0.148451:0.507875:0.000000:0.000000:0.000000
:@0.186194:0.517739:0.193749:0.517739:0.193749:0.500990:0.186194:0.500990:0.000000
3,–:@0.217134:0.526065:0.240002:0.526065:0.240002:0.510395:0.217134:0.510395:0.000000:0.000000:0.000000
13:@0.241790:0.517545:0.259573:0.517545:0.259573:0.501876:0.241790:0.501876:0.000000:0.000000
5:@0.246765:0.536991:0.255758:0.536991:0.255758:0.521321:0.246765:0.521321:0.000000
=⎜:@0.197287:0.526742:0.216618:0.528001:0.216618:0.512428:0.197287:0.511170:0.000000:0.000000
⎛:@0.209541:0.517117:0.216618:0.517117:0.216618:0.501544:0.209541:0.501544:0.000000
⎝:@0.209541:0.537267:0.216618:0.537267:0.216618:0.521694:0.209541:0.521694:0.000000
⎞:@0.261157:0.517117:0.268234:0.517117:0.268234:0.501544:0.261157:0.501544:0.000000
⎠:@0.261157:0.537267:0.268234:0.537267:0.268234:0.521694:0.261157:0.521694:0.000000
⎟:@0.261157:0.528001:0.268234:0.528001:0.268234:0.512428:0.261157:0.512428:0.000000
u:@0.184314:0.526065:0.193638:0.526065:0.193638:0.510672:0.184314:0.510672:0.000000
 :@0.148451:0.656617:0.152265:0.656617:0.152265:0.639716:0.148451:0.639716:0.000000
d) :@0.148451:0.676777:0.168518:0.676777:0.168518:0.659877:0.148451:0.659877:0.000000:0.000000:0.000000
:@0.186194:0.669713:0.193749:0.669713:0.193749:0.652964:0.186194:0.652964:0.000000
0,–3:@0.216400:0.678035:0.249054:0.678035:0.249054:0.661646:0.216400:0.661646:0.000000:0.000000:0.000000:0.000000
(:@0.209960:0.681167:0.216097:0.681167:0.216097:0.661233:0.209960:0.661233:0.000000
):@0.248806:0.681167:0.254942:0.681167:0.254942:0.661233:0.248806:0.661233:0.000000
=:@0.197292:0.678712:0.207409:0.678712:0.207409:0.663140:0.197292:0.663140:0.000000
u:@0.184301:0.678035:0.193625:0.678035:0.193625:0.661674:0.184301:0.661674:0.000000
 :@0.148440:0.796007:0.152255:0.796007:0.152255:0.779107:0.148440:0.779107:0.000000
b) :@0.540917:0.305344:0.560948:0.305344:0.560948:0.288444:0.540917:0.288444:0.000000:0.000000:0.000000
:@0.578660:0.298412:0.586216:0.298412:0.586216:0.281663:0.578660:0.281663:0.000000
4,:@0.610338:0.306737:0.623440:0.306737:0.623440:0.291068:0.610338:0.291068:0.000000:0.000000
9:@0.626259:0.298218:0.635252:0.298218:0.635252:0.282548:0.626259:0.282548:0.000000
5:@0.626628:0.317663:0.635620:0.317663:0.635620:0.301994:0.626628:0.301994:0.000000
=⎜:@0.589772:0.307415:0.609103:0.308674:0.609103:0.293101:0.589772:0.291842:0.000000:0.000000
⎛:@0.602027:0.297789:0.609103:0.297789:0.609103:0.282216:0.602027:0.282216:0.000000
⎝:@0.602027:0.317940:0.609103:0.317940:0.609103:0.302367:0.602027:0.302367:0.000000
⎞:@0.637629:0.297789:0.644705:0.297789:0.644705:0.282216:0.637629:0.282216:0.000000
⎠:@0.637629:0.317940:0.644705:0.317940:0.644705:0.302367:0.637629:0.302367:0.000000
⎟:@0.637629:0.308674:0.644705:0.308674:0.644705:0.293101:0.637629:0.293101:0.000000
u:@0.576799:0.306737:0.586124:0.306737:0.586124:0.291344:0.576799:0.291344:0.000000
 :@0.540917:0.437186:0.544732:0.437186:0.544732:0.420286:0.540917:0.420286:0.000000
c) :@0.540917:0.466391:0.558553:0.466391:0.558553:0.449490:0.540917:0.449490:0.000000:0.000000:0.000000
:@0.578660:0.459320:0.586216:0.459320:0.586216:0.442571:0.578660:0.442571:0.000000
9:@0.611056:0.459112:0.620049:0.459112:0.620049:0.443443:0.611056:0.443443:0.000000
5:@0.611425:0.478558:0.620417:0.478558:0.620417:0.462888:0.611425:0.462888:0.000000
,–:@0.623200:0.467632:0.637334:0.467632:0.637334:0.451962:0.623200:0.451962:0.000000:0.000000
14:@0.639122:0.459112:0.656904:0.459112:0.656904:0.443443:0.639122:0.443443:0.000000:0.000000
5:@0.644668:0.478558:0.653661:0.478558:0.653661:0.462888:0.644668:0.462888:0.000000
=⎜:@0.589754:0.468309:0.609084:0.469568:0.609084:0.453995:0.589754:0.452736:0.000000:0.000000
⎛:@0.602008:0.458684:0.609084:0.458684:0.609084:0.443111:0.602008:0.443111:0.000000
⎝:@0.602008:0.478834:0.609084:0.478834:0.609084:0.463261:0.602008:0.463261:0.000000
⎞:@0.659650:0.458684:0.666726:0.458684:0.666726:0.443111:0.659650:0.443111:0.000000
⎠:@0.659650:0.478834:0.666726:0.478834:0.666726:0.463261:0.659650:0.463261:0.000000
⎟:@0.659650:0.469568:0.666726:0.469568:0.666726:0.453995:0.659650:0.453995:0.000000
u:@0.576781:0.467632:0.586105:0.467632:0.586105:0.452239:0.576781:0.452239:0.000000
 :@0.540917:0.620685:0.544732:0.620685:0.544732:0.603785:0.540917:0.603785:0.000000
d) :@0.540917:0.650287:0.560985:0.650287:0.560985:0.633387:0.540917:0.633387:0.000000:0.000000:0.000000
:@0.578660:0.642819:0.586216:0.642819:0.586216:0.626071:0.578660:0.626071:0.000000
– ,–:@0.609969:0.651145:0.648022:0.651145:0.648022:0.635475:0.609969:0.635475:0.000000:0.000000:0.000000:0.000000
5:@0.622316:0.642625:0.631308:0.642625:0.631308:0.626956:0.622316:0.626956:0.000000
2:@0.622113:0.662071:0.631106:0.662071:0.631106:0.646401:0.622113:0.646401:0.000000
13:@0.649810:0.642625:0.667592:0.642625:0.667592:0.626956:0.649810:0.626956:0.000000:0.000000
5:@0.654785:0.662071:0.663778:0.662071:0.663778:0.646401:0.654785:0.646401:0.000000
=⎜:@0.589772:0.651823:0.609103:0.653081:0.609103:0.637508:0.589772:0.636250:0.000000:0.000000
⎛:@0.602027:0.642197:0.609103:0.642197:0.609103:0.626624:0.602027:0.626624:0.000000
⎝:@0.602027:0.662347:0.609103:0.662347:0.609103:0.646774:0.602027:0.646774:0.000000
⎞:@0.669195:0.642197:0.676272:0.642197:0.676272:0.626624:0.669195:0.626624:0.000000
⎠:@0.669195:0.662347:0.676272:0.662347:0.676272:0.646774:0.669195:0.646774:0.000000
⎟:@0.669195:0.653081:0.676272:0.653081:0.676272:0.637508:0.669195:0.637508:0.000000
u:@0.576799:0.651145:0.586124:0.651145:0.586124:0.635752:0.576799:0.635752:0.000000
 :@0.540917:0.782128:0.544732:0.782128:0.544732:0.765227:0.540917:0.765227:0.000000