99:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000 5. :@0.512425:0.099979:0.531166:0.099979:0.531166:0.082844:0.512425:0.082844:0.000000:0.000000:0.000000 Encuentra:@0.545668:0.099979:0.623672:0.099979:0.623672:0.083355:0.545668:0.083355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la ecuación de la hipérbola que :@0.623672:0.099979:0.888706:0.099979:0.888706:0.083590:0.623672:0.083590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se traslada a un centro dado en cada inciso :@0.545668:0.116576:0.888697:0.116576:0.888697:0.100187:0.545668:0.100187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.884645:0.116576:0.888680:0.116576:0.888680:0.100187:0.884645:0.100187:0.000000 ,,:@0.584773:0.134429:0.602796:0.134429:0.602796:0.118040:0.584773:0.118040:0.000000:0.000000 :@0.576030:0.126106:0.583586:0.126106:0.583586:0.109358:0.576030:0.109358:0.000000 (:@0.548283:0.138813:0.554420:0.138813:0.554420:0.116387:0.548283:0.116387:0.000000 ):@0.620483:0.138813:0.626619:0.138813:0.626619:0.116387:0.620483:0.116387:0.000000 (:@0.568125:0.137561:0.574261:0.137561:0.574261:0.117628:0.568125:0.117628:0.000000 ):@0.614047:0.137561:0.620183:0.137561:0.620183:0.117628:0.614047:0.117628:0.000000 Hc ab:@0.554723:0.134429:0.613415:0.134429:0.613415:0.118068:0.554723:0.118068:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.629429:0.134429:0.645608:0.134429:0.645608:0.118040:0.629429:0.118040:0.000000:0.000000:0.000000 grafica:@0.645608:0.134429:0.697390:0.134429:0.697390:0.117805:0.645608:0.117805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la nueva hipérbola.:@0.697390:0.134429:0.841011:0.134429:0.841011:0.118040:0.697390:0.118040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.545675:0.192461:0.564397:0.192461:0.564397:0.175561:0.545675:0.175561:0.000000:0.000000:0.000000 :@0.582991:0.213006:0.590546:0.213006:0.590546:0.196257:0.582991:0.196257:0.000000 (:@0.606758:0.224461:0.583576:0.224461:0.583576:0.204527:0.606758:0.204527:0.000000 ):@0.636076:0.224461:0.612894:0.224461:0.612894:0.204527:0.636076:0.204527:0.000000 ⎛ ⎞:@0.581106:0.180712:0.609706:0.180712:0.609706:0.165139:0.581106:0.165139:0.000000:0.000000:0.000000 ⎝ ⎠:@0.581106:0.200863:0.609706:0.200863:0.609706:0.185290:0.581106:0.185290:0.000000:0.000000:0.000000 ⎜ ⎟:@0.581106:0.191596:0.609706:0.191596:0.609706:0.176023:0.581106:0.176023:0.000000:0.000000:0.000000 ⎛ ⎞:@0.630271:0.180712:0.658871:0.180712:0.658871:0.165139:0.630271:0.165139:0.000000:0.000000:0.000000 ⎝ ⎠:@0.630271:0.200863:0.658871:0.200863:0.658871:0.185290:0.630271:0.185290:0.000000:0.000000:0.000000 ⎜ ⎟ =:@0.630271:0.191596:0.678404:0.190338:0.678404:0.174765:0.630271:0.176023:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.594098:0.222009:0.604215:0.222009:0.604215:0.206436:0.594098:0.206436:0.000000 2:@0.590910:0.200586:0.599903:0.200586:0.599903:0.184916:0.590910:0.184916:0.000000 –:@0.618975:0.189660:0.628189:0.189660:0.628189:0.173990:0.618975:0.173990:0.000000 2:@0.640075:0.200586:0.649067:0.200586:0.649067:0.184916:0.640075:0.184916:0.000000 1:@0.679805:0.189660:0.688797:0.189660:0.688797:0.173990:0.679805:0.173990:0.000000 2,2:@0.613207:0.221331:0.635914:0.221331:0.635914:0.205662:0.613207:0.205662:0.000000:0.000000:0.000000 2:@0.609428:0.171469:0.614640:0.171469:0.614640:0.162388:0.609428:0.162388:0.000000 2:@0.658586:0.171469:0.663798:0.171469:0.663798:0.162388:0.658586:0.162388:0.000000 x:@0.591628:0.181134:0.599092:0.181134:0.599092:0.165741:0.591628:0.165741:0.000000 y:@0.640793:0.181134:0.648275:0.181134:0.648275:0.165741:0.640793:0.165741:0.000000 c:@0.581899:0.221325:0.589565:0.221325:0.589565:0.205932:0.581899:0.205932:0.000000 :@0.545667:0.412932:0.549481:0.412932:0.549481:0.396031:0.545667:0.396031:0.000000 0:@0.672110:0.366753:0.678650:0.366753:0.678650:0.354834:0.672110:0.354834:0.000000 6:@0.835413:0.366753:0.841953:0.366753:0.841953:0.354834:0.835413:0.354834:0.000000 y:@0.691825:0.248205:0.697721:0.248205:0.697721:0.236286:0.691825:0.236286:0.000000 x:@0.873581:0.351153:0.879331:0.351153:0.879331:0.339234:0.873581:0.339234:0.000000 4:@0.783400:0.366763:0.789940:0.366763:0.789940:0.354844:0.783400:0.354844:0.000000 4:@0.668867:0.281408:0.675407:0.281408:0.675407:0.269489:0.668867:0.269489:0.000000 2:@0.732432:0.366763:0.738973:0.366763:0.738973:0.354844:0.732432:0.354844:0.000000 2:@0.668679:0.319398:0.675220:0.319398:0.675220:0.307479:0.668679:0.307479:0.000000 –2:@0.624815:0.366311:0.638056:0.366311:0.638056:0.354392:0.624815:0.354392:0.000000:0.000000 –2:@0.664686:0.397834:0.677927:0.397834:0.677927:0.385915:0.664686:0.385915:0.000000:0.000000 :@0.545667:0.459288:0.549481:0.459288:0.549481:0.442388:0.545667:0.442388:0.000000 ___________________________________:@0.578910:0.459288:0.884477:0.459288:0.884477:0.442388:0.578910:0.442388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.120099:0.400426:0.138840:0.400426:0.138840:0.383291:0.120099:0.383291:0.000000:0.000000:0.000000 Sea la hipérbola :@0.153342:0.400426:0.274338:0.400426:0.274338:0.384038:0.153342:0.384038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.289938:0.405327:0.296074:0.405327:0.296074:0.379788:0.289938:0.379788:0.000000 ):@0.335583:0.405327:0.341720:0.405327:0.341720:0.379788:0.335583:0.379788:0.000000 0,2,4.:@0.296796:0.400432:0.345229:0.400432:0.345229:0.384043:0.296796:0.384043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.297520:0.389824:0.305075:0.389824:0.305075:0.373075:0.297520:0.373075:0.000000 H:@0.276955:0.400432:0.288067:0.400432:0.288067:0.384070:0.276955:0.384070:0.000000 a) :@0.153342:0.424150:0.172065:0.424150:0.172065:0.407250:0.153342:0.407250:0.000000:0.000000:0.000000 Identifica:@0.186586:0.424150:0.257956:0.424150:0.257956:0.407526:0.186586:0.407526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la ecuación de la hipérbola con :@0.257956:0.424150:0.496334:0.424150:0.496334:0.407762:0.257956:0.407762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 eje como eje principal.:@0.186586:0.440747:0.363745:0.440747:0.363745:0.424358:0.186586:0.424358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.212440:0.440747:0.219921:0.440747:0.219921:0.424386:0.212440:0.424386:0.000000 :@0.153342:0.527684:0.157157:0.527684:0.157157:0.510784:0.153342:0.510784:0.000000 b) :@0.153344:0.557949:0.173375:0.557949:0.173375:0.541048:0.153344:0.541048:0.000000:0.000000:0.000000 Obtén:@0.186587:0.557949:0.235218:0.557949:0.235218:0.541325:0.186587:0.541325:0.000000:0.000000:0.000000:0.000000:0.000000 los focos de la hipérbola.:@0.235218:0.557949:0.420342:0.557949:0.420342:0.541560:0.235218:0.541560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153344:0.644886:0.157158:0.644886:0.157158:0.627985:0.153344:0.627985:0.000000 c) :@0.153344:0.675147:0.170979:0.675147:0.170979:0.658246:0.153344:0.658246:0.000000:0.000000:0.000000 Calcula:@0.186587:0.675147:0.242018:0.675147:0.242018:0.658523:0.186587:0.658523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las asíntotas.:@0.242018:0.675147:0.337528:0.675147:0.337528:0.658758:0.242018:0.658758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153344:0.762084:0.157158:0.762084:0.157158:0.745183:0.153344:0.745183:0.000000 d) :@0.153344:0.792344:0.173412:0.792344:0.173412:0.775443:0.153344:0.775443:0.000000:0.000000:0.000000 Grafica:@0.186587:0.792344:0.240083:0.792344:0.240083:0.775720:0.186587:0.775720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la hipérbola.:@0.240083:0.792344:0.334301:0.792344:0.334301:0.775955:0.240083:0.775955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153344:0.889391:0.157158:0.889391:0.157158:0.872490:0.153344:0.872490:0.000000 0:@0.333069:0.854808:0.338791:0.854808:0.338791:0.844378:0.333069:0.844378:0.000000 4:@0.328237:0.818635:0.333960:0.818635:0.333960:0.808206:0.328237:0.808206:0.000000 2:@0.327663:0.833535:0.333385:0.833535:0.333385:0.823106:0.327663:0.823106:0.000000 2:@0.356018:0.854816:0.361740:0.854816:0.361740:0.844387:0.356018:0.844387:0.000000 6:@0.394329:0.854816:0.400051:0.854816:0.400051:0.844387:0.394329:0.844387:0.000000 x:@0.482666:0.842310:0.487697:0.842310:0.487697:0.831881:0.482666:0.831881:0.000000 y:@0.346578:0.805794:0.351738:0.805794:0.351738:0.795365:0.346578:0.795365:0.000000 4:@0.374335:0.854808:0.380057:0.854808:0.380057:0.844378:0.374335:0.844378:0.000000 10 12 14:@0.427421:0.854808:0.476111:0.854808:0.476111:0.844378:0.427421:0.844378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 16:@0.484319:0.534350:0.495765:0.534350:0.495765:0.523921:0.484319:0.523921:0.000000:0.000000 8:@0.412646:0.854808:0.418369:0.854808:0.418369:0.844378:0.412646:0.844378:0.000000 –6 –4 –2:@0.278153:0.854808:0.327475:0.854808:0.327475:0.844378:0.278153:0.844378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –8:@0.259765:0.854808:0.271351:0.854808:0.271351:0.844378:0.259765:0.844378:0.000000:0.000000 –10:@0.238282:0.854808:0.255590:0.854808:0.255590:0.844378:0.238282:0.844378:0.000000:0.000000:0.000000 –12:@0.216646:0.854808:0.233955:0.854808:0.233955:0.844378:0.216646:0.844378:0.000000:0.000000:0.000000 –14:@0.200241:0.854808:0.217549:0.854808:0.217549:0.844378:0.200241:0.844378:0.000000:0.000000:0.000000 –16:@0.180798:0.854808:0.198106:0.854808:0.198106:0.844378:0.180798:0.844378:0.000000:0.000000:0.000000 –4:@0.324414:0.878104:0.336000:0.878104:0.336000:0.867675:0.324414:0.867675:0.000000:0.000000 –2:@0.323969:0.863089:0.335555:0.863089:0.335555:0.852660:0.323969:0.852660:0.000000:0.000000 b) :@0.545667:0.549551:0.565697:0.549551:0.565697:0.532651:0.545667:0.532651:0.000000:0.000000:0.000000 :@0.582991:0.571428:0.590546:0.571428:0.590546:0.554680:0.582991:0.554680:0.000000 (:@0.606758:0.582883:0.587869:0.582883:0.587869:0.562950:0.606758:0.562950:0.000000 ):@0.631782:0.582883:0.612894:0.582883:0.612894:0.562950:0.631782:0.562950:0.000000 ⎛ ⎞:@0.612936:0.539134:0.641536:0.539134:0.641536:0.523562:0.612936:0.523562:0.000000:0.000000:0.000000 ⎝ ⎠:@0.612936:0.559285:0.641536:0.559285:0.641536:0.543712:0.612936:0.543712:0.000000:0.000000:0.000000 ⎜ ⎟ =:@0.612936:0.550019:0.661069:0.548760:0.661069:0.533187:0.612936:0.534446:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.594103:0.580432:0.604220:0.580432:0.604220:0.564859:0.594103:0.564859:0.000000 –:@0.601640:0.548083:0.610854:0.548083:0.610854:0.532413:0.601640:0.532413:0.000000 4:@0.622739:0.559009:0.631732:0.559009:0.631732:0.543339:0.622739:0.543339:0.000000 –1:@0.663999:0.548083:0.682205:0.548083:0.682205:0.532413:0.663999:0.532413:0.000000:0.000000 3,1:@0.613212:0.579754:0.634343:0.579754:0.634343:0.564084:0.613212:0.564084:0.000000:0.000000:0.000000 2:@0.592099:0.540422:0.597311:0.540422:0.597311:0.531340:0.592099:0.531340:0.000000 2:@0.641258:0.529890:0.646469:0.529890:0.646469:0.520808:0.641258:0.520808:0.000000 x:@0.582991:0.548083:0.590454:0.548083:0.590454:0.532690:0.582991:0.532690:0.000000 y:@0.623458:0.539563:0.630940:0.539563:0.630940:0.524170:0.623458:0.524170:0.000000 c:@0.581885:0.579754:0.589551:0.579754:0.589551:0.564361:0.581885:0.564361:0.000000 :@0.545667:0.824916:0.549481:0.824916:0.549481:0.808016:0.545667:0.808016:0.000000 0:@0.714661:0.725570:0.721202:0.725570:0.721202:0.713650:0.714661:0.713650:0.000000 10:@0.857419:0.725570:0.870499:0.725570:0.870499:0.713650:0.857419:0.713650:0.000000:0.000000 5:@0.792205:0.725570:0.798745:0.725570:0.798745:0.713650:0.792205:0.713650:0.000000 5:@0.711485:0.664153:0.718025:0.664153:0.718025:0.652234:0.711485:0.652234:0.000000 10:@0.708215:0.613801:0.721295:0.613801:0.721295:0.601881:0.708215:0.601881:0.000000:0.000000 y:@0.743770:0.603933:0.749667:0.603933:0.749667:0.592014:0.743770:0.592014:0.000000 x:@0.870767:0.707384:0.876516:0.707384:0.876516:0.695465:0.870767:0.695465:0.000000 –10:@0.579798:0.725570:0.599579:0.725570:0.599579:0.713650:0.579798:0.713650:0.000000:0.000000:0.000000 –5:@0.652195:0.725570:0.665436:0.725570:0.665436:0.713650:0.652195:0.713650:0.000000:0.000000 –5:@0.705186:0.768288:0.718427:0.768288:0.718427:0.756368:0.705186:0.756368:0.000000:0.000000 –10:@0.701916:0.818519:0.721697:0.818519:0.721697:0.806600:0.701916:0.806600:0.000000:0.000000:0.000000 :@0.545667:0.871273:0.549481:0.871273:0.549481:0.854372:0.545667:0.854372:0.000000 ___________________________________:@0.578910:0.871273:0.884477:0.871273:0.884477:0.854372:0.578910:0.854372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d) :@0.153342:0.099763:0.173410:0.099763:0.173410:0.082862:0.153342:0.082862:0.000000:0.000000:0.000000 Grafica:@0.186586:0.099763:0.240081:0.099763:0.240081:0.083139:0.186586:0.083139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la hipérbola.:@0.240081:0.099763:0.334300:0.099763:0.334300:0.083374:0.240081:0.083374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.153342:0.348446:0.157157:0.348446:0.157157:0.331545:0.153342:0.331545:0.000000 0:@0.329053:0.242248:0.335593:0.242248:0.335593:0.230329:0.329053:0.230329:0.000000 4:@0.324966:0.173137:0.331506:0.173137:0.331506:0.161217:0.324966:0.161217:0.000000 2:@0.377112:0.242741:0.383653:0.242741:0.383653:0.230822:0.377112:0.230822:0.000000 4:@0.419034:0.242741:0.425574:0.242741:0.425574:0.230822:0.419034:0.230822:0.000000 6:@0.460955:0.242741:0.467495:0.242741:0.467495:0.230822:0.460955:0.230822:0.000000 6:@0.324979:0.141392:0.331519:0.141392:0.331519:0.129473:0.324979:0.129473:0.000000 y:@0.348848:0.126948:0.354745:0.126948:0.354745:0.115029:0.348848:0.115029:0.000000 x:@0.477252:0.225320:0.483001:0.225320:0.483001:0.213400:0.477252:0.213400:0.000000 2:@0.324764:0.203593:0.331305:0.203593:0.331305:0.191674:0.324764:0.191674:0.000000 –6:@0.321615:0.327020:0.334856:0.327020:0.334856:0.315101:0.321615:0.315101:0.000000:0.000000 –4:@0.251161:0.242258:0.264402:0.242258:0.264402:0.230339:0.251161:0.230339:0.000000:0.000000 –6:@0.208918:0.242258:0.222159:0.242258:0.222159:0.230339:0.208918:0.230339:0.000000:0.000000 –2:@0.291729:0.242751:0.304970:0.242751:0.304970:0.230832:0.291729:0.230832:0.000000:0.000000 –4:@0.321615:0.295608:0.334856:0.295608:0.334856:0.283689:0.321615:0.283689:0.000000:0.000000 –2:@0.321615:0.265131:0.334856:0.265131:0.334856:0.253212:0.321615:0.253212:0.000000:0.000000