225:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000 Pensamiento métrico y variacional:@0.619822:0.043660:0.926913:0.043660:0.926913:0.024915:0.619822:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. :@0.096806:0.893134:0.113814:0.893134:0.113814:0.876465:0.096806:0.876465:0.000000:0.000000:0.000000 Utiliza:@0.126927:0.893134:0.178210:0.893134:0.178210:0.876188:0.126927:0.876188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los conocimientos aprendidos y :@0.178302:0.893134:0.436856:0.893134:0.436856:0.876465:0.178302:0.876465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 decide:@0.437954:0.893134:0.491961:0.893134:0.491961:0.876188:0.437954:0.876188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las operaciones para calcular el área de la región , :@0.492053:0.893134:0.907100:0.893134:0.907100:0.876465:0.492053:0.876465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 R:@0.889650:0.893134:0.899277:0.893134:0.899277:0.876451:0.889650:0.876451:0.000000 encerrada por la recta 1, el eje y las rectas 1 2.:@0.126927:0.911413:0.616192:0.911413:0.616192:0.894743:0.126927:0.894743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.295998:0.911413:0.304115:0.911413:0.304115:0.894729:0.295998:0.894729:0.000000 5 1:@0.307870:0.910858:0.354146:0.910858:0.354146:0.897142:0.307870:0.897142:0.000000:0.000000:0.000000 x:@0.326940:0.911413:0.335058:0.911413:0.335058:0.894729:0.326940:0.894729:0.000000 x:@0.418535:0.911413:0.426652:0.911413:0.426652:0.894729:0.418535:0.894729:0.000000 x:@0.516075:0.911413:0.524192:0.911413:0.524192:0.894729:0.516075:0.894729:0.000000 5:@0.527947:0.910858:0.543281:0.910858:0.543281:0.897142:0.527947:0.897142:0.000000 y x:@0.560197:0.911413:0.580187:0.911413:0.580187:0.894729:0.560197:0.894729:0.000000:0.000000:0.000000 5:@0.583942:0.910858:0.599276:0.910858:0.599276:0.897142:0.583942:0.897142:0.000000 Problema-decisión:@0.096806:0.860762:0.239376:0.860762:0.239376:0.844093:0.096806:0.844093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4. :@0.073089:0.137309:0.090097:0.137309:0.090097:0.120639:0.073089:0.120639:0.000000:0.000000:0.000000 Observa:@0.103288:0.137309:0.169293:0.137309:0.169293:0.120362:0.103288:0.120362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la gráfica y :@0.169204:0.137309:0.257515:0.137309:0.257515:0.120639:0.169204:0.120639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcula:@0.257393:0.137309:0.312118:0.137309:0.312118:0.120362:0.257393:0.120362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área limitada por la parábola y las rectas que :@0.312026:0.137309:0.720741:0.137309:0.720741:0.120639:0.312026:0.120639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.553345:0.137309:0.561463:0.137309:0.561463:0.120626:0.553345:0.120626:0.000000 5:@0.565218:0.136754:0.580551:0.136754:0.580551:0.123039:0.565218:0.123039:0.000000 x:@0.584288:0.137309:0.592405:0.137309:0.592405:0.120626:0.584288:0.120626:0.000000 2:@0.592328:0.131245:0.597833:0.131245:0.597833:0.121527:0.592328:0.121527:0.000000 se indican en la figura.:@0.720595:0.137467:0.896613:0.137467:0.896613:0.120039:0.720595:0.120039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.603098:0.234526:0.610026:0.234526:0.610026:0.220741:0.603098:0.220741:0.000000 2:@0.524802:0.232555:0.532682:0.232555:0.532682:0.218770:0.524802:0.218770:0.000000 6:@0.564027:0.232555:0.571908:0.232555:0.571908:0.218770:0.564027:0.218770:0.000000 y:@0.472092:0.176479:0.479197:0.176479:0.479197:0.162694:0.472092:0.162694:0.000000 5. :@0.073089:0.284988:0.090097:0.284988:0.090097:0.268318:0.073089:0.268318:0.000000:0.000000:0.000000 Calcula:@0.103288:0.284988:0.160404:0.284988:0.160404:0.268041:0.103288:0.268041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el área de la región que se encuentra sombreada en la figura.:@0.160314:0.284988:0.623775:0.284988:0.623775:0.268318:0.160314:0.268318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.464091:0.485330:0.471735:0.485330:0.471735:0.471960:0.464091:0.471960:0.000000 x:@0.658196:0.489186:0.666175:0.489186:0.666175:0.473310:0.658196:0.473310:0.000000 y:@0.460053:0.320608:0.468237:0.320608:0.468237:0.304731:0.460053:0.304731:0.000000 f x:@0.531847:0.446456:0.548146:0.446456:0.548146:0.431680:0.531847:0.431680:0.000000:0.000000:0.000000 ( ) 2 3:@0.536340:0.446456:0.656488:0.446456:0.656488:0.431414:0.536340:0.431414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.556674:0.445925:0.571352:0.445925:0.571352:0.432795:0.556674:0.432795:0.000000 x:@0.575211:0.446456:0.582348:0.446456:0.582348:0.431680:0.575211:0.431680:0.000000 2:@0.582348:0.440650:0.587361:0.440650:0.587361:0.431881:0.582348:0.431881:0.000000 1:@0.591220:0.445925:0.605898:0.445925:0.605898:0.432795:0.591220:0.432795:0.000000 x:@0.618356:0.446456:0.625493:0.446456:0.625493:0.431680:0.618356:0.431680:0.000000 1:@0.629352:0.445925:0.644030:0.445925:0.644030:0.432795:0.629352:0.432795:0.000000 6:@0.460766:0.339274:0.468410:0.339274:0.468410:0.325904:0.460766:0.325904:0.000000 5:@0.460766:0.362273:0.468410:0.362273:0.468410:0.348903:0.460766:0.348903:0.000000 4:@0.460766:0.385273:0.468410:0.385273:0.468410:0.371903:0.460766:0.371903:0.000000 3:@0.460766:0.408272:0.468410:0.408272:0.468410:0.394902:0.460766:0.394902:0.000000 2:@0.460766:0.431271:0.468410:0.431271:0.468410:0.417901:0.460766:0.417901:0.000000 1:@0.460766:0.454271:0.468410:0.454271:0.468410:0.440901:0.460766:0.440901:0.000000 2:@0.452794:0.499797:0.465841:0.499797:0.465841:0.488126:0.452794:0.488126:0.000000 1:@0.465841:0.500269:0.473484:0.500269:0.473484:0.486899:0.465841:0.486899:0.000000 2:@0.452794:0.522797:0.465841:0.522797:0.465841:0.511126:0.452794:0.511126:0.000000 2:@0.465841:0.523269:0.473484:0.523269:0.473484:0.509898:0.465841:0.509898:0.000000 2:@0.439010:0.488091:0.452058:0.488091:0.452058:0.476420:0.439010:0.476420:0.000000 1:@0.452058:0.488563:0.459701:0.488563:0.459701:0.475193:0.452058:0.475193:0.000000 1:@0.507316:0.488563:0.514960:0.488563:0.514960:0.475193:0.507316:0.475193:0.000000 2:@0.541195:0.488563:0.548839:0.488563:0.548839:0.475193:0.541195:0.475193:0.000000 3:@0.574228:0.488563:0.581872:0.488563:0.581872:0.475193:0.574228:0.475193:0.000000 4:@0.607261:0.488563:0.614905:0.488563:0.614905:0.475193:0.607261:0.475193:0.000000 2:@0.408546:0.488091:0.421593:0.488091:0.421593:0.476420:0.408546:0.476420:0.000000 2:@0.421593:0.488563:0.429237:0.488563:0.429237:0.475193:0.421593:0.475193:0.000000 2:@0.378097:0.488091:0.391145:0.488091:0.391145:0.476420:0.378097:0.476420:0.000000 3:@0.391145:0.488563:0.398788:0.488563:0.398788:0.475193:0.391145:0.475193:0.000000 2:@0.346913:0.488091:0.359960:0.488091:0.359960:0.476420:0.346913:0.476420:0.000000 4:@0.359960:0.488563:0.367603:0.488563:0.367603:0.475193:0.359960:0.475193:0.000000 6. :@0.073089:0.554390:0.089729:0.554390:0.089729:0.537720:0.073089:0.537720:0.000000:0.000000:0.000000 Halla:@0.103472:0.554390:0.142974:0.554390:0.142974:0.537443:0.103472:0.537443:0.000000:0.000000:0.000000:0.000000:0.000000 el área limitada por la parábola y las rectas que se encuentran señaladas en la figura.:@0.142698:0.554390:0.812518:0.554390:0.812518:0.537720:0.142698:0.537720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.377759:0.554390:0.385876:0.554390:0.385876:0.537706:0.377759:0.537706:0.000000 5:@0.389263:0.553835:0.404596:0.553835:0.404596:0.540120:0.389263:0.540120:0.000000 x:@0.407965:0.554390:0.416082:0.554390:0.416082:0.537706:0.407965:0.537706:0.000000 2:@0.415832:0.548326:0.421338:0.548326:0.421338:0.538608:0.415832:0.538608:0.000000 0:@0.480591:0.791706:0.488349:0.791706:0.488349:0.778136:0.480591:0.778136:0.000000 x:@0.657620:0.794718:0.664440:0.794718:0.664440:0.781148:0.657620:0.781148:0.000000 2:@0.614209:0.789908:0.620742:0.789908:0.620742:0.778481:0.614209:0.778481:0.000000 2:@0.386508:0.789505:0.397659:0.789505:0.397659:0.779530:0.386508:0.779530:0.000000 2:@0.397659:0.789908:0.404192:0.789908:0.404192:0.778481:0.397659:0.778481:0.000000 y:@0.474056:0.588570:0.481051:0.588570:0.481051:0.575000:0.474056:0.575000:0.000000 #:@0.638154:0.923039:0.642340:0.923039:0.642340:0.908594:0.638154:0.908594:0.000000 2:@0.646241:0.914028:0.650324:0.914028:0.650324:0.906885:0.646241:0.906885:0.000000 0:@0.646241:0.925374:0.650324:0.925374:0.650324:0.918232:0.646241:0.918232:0.000000 1:@0.657774:0.919779:0.660374:0.919779:0.660374:0.908545:0.657774:0.908545:0.000000 x dx u:@0.660374:0.919408:0.731761:0.919408:0.731761:0.909586:0.660374:0.909586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.667227:0.919055:0.676984:0.919055:0.676984:0.910327:0.667227:0.910327:0.000000 1:@0.679093:0.919408:0.684809:0.919408:0.684809:0.909409:0.679093:0.909409:0.000000 2:@0.684809:0.919779:0.687410:0.919779:0.687410:0.908545:0.684809:0.908545:0.000000 5:@0.700154:0.919055:0.709912:0.919055:0.709912:0.910327:0.700154:0.910327:0.000000 14:@0.712156:0.912002:0.723588:0.912002:0.723588:0.902003:0.712156:0.902003:0.000000:0.000000 3:@0.715014:0.925867:0.720730:0.925867:0.720730:0.915868:0.715014:0.915868:0.000000 :@0.720730:0.927289:0.724945:0.927289:0.724945:0.910862:0.720730:0.910862:0.000000 2:@0.731761:0.915550:0.735094:0.915550:0.735094:0.909720:0.731761:0.909720:0.000000 208:@0.491344:0.254697:0.508493:0.254697:0.508493:0.244698:0.491344:0.244698:0.000000:0.000000:0.000000 3:@0.497060:0.268561:0.502777:0.268561:0.502777:0.258562:0.497060:0.258562:0.000000 :@0.502777:0.269984:0.506991:0.269984:0.506991:0.253557:0.502777:0.253557:0.000000 20:@0.710787:0.513527:0.722219:0.513527:0.722219:0.503528:0.710787:0.503528:0.000000:0.000000 3:@0.713645:0.527391:0.719361:0.527391:0.719361:0.517392:0.713645:0.517392:0.000000 :@0.719361:0.528813:0.723576:0.528813:0.723576:0.512386:0.719361:0.512386:0.000000 16:@0.710787:0.800054:0.722219:0.800054:0.722219:0.790055:0.710787:0.790055:0.000000:0.000000 3:@0.713645:0.813918:0.719361:0.813918:0.719361:0.803919:0.713645:0.803919:0.000000 :@0.719361:0.815340:0.723576:0.815340:0.723576:0.798913:0.719361:0.798913:0.000000 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