114:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Funciones racionales y cónicas:@0.073089:0.043661:0.343993:0.043661:0.343993:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 5 (Ev. 3) Utiliza las expresiones simbólicas de las cónicas y propone los rangos de variación para obtener una gráfica requerida.:@0.230763:0.971366:0.917976:0.971366:0.917976:0.959939:0.230763:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 4.5:@0.055696:0.283236:0.107022:0.283236:0.107022:0.271809:0.055696:0.271809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.107424:0.179110:0.114352:0.179110:0.114352:0.165078:0.107424:0.165078:0.000000
y:@0.221621:0.188343:0.227735:0.188343:0.227735:0.175714:0.221621:0.175714:0.000000
2:@0.227735:0.183381:0.232020:0.183381:0.232020:0.175886:0.227735:0.175886:0.000000
   :@0.232019:0.188343:0.251161:0.188343:0.251161:0.175487:0.232019:0.175487:0.000000:0.000000:0.000000
5:@0.235317:0.187889:0.247863:0.187889:0.247863:0.176667:0.235317:0.176667:0.000000
x:@0.251161:0.188343:0.257261:0.188343:0.257261:0.175714:0.251161:0.175714:0.000000
0:@0.126277:0.227543:0.132810:0.227543:0.132810:0.216116:0.126277:0.216116:0.000000
y:@0.124230:0.162772:0.130684:0.162772:0.130684:0.149442:0.124230:0.149442:0.000000
x:@0.269466:0.231904:0.275905:0.231904:0.275905:0.218573:0.269466:0.218573:0.000000
1:@0.127810:0.185127:0.134342:0.185127:0.134342:0.173699:0.127810:0.173699:0.000000
1:@0.211653:0.228002:0.218186:0.228002:0.218186:0.216575:0.211653:0.216575:0.000000
2:@0.062039:0.227599:0.073190:0.227599:0.073190:0.217624:0.062039:0.217624:0.000000
1:@0.073190:0.228002:0.079723:0.228002:0.079723:0.216575:0.073190:0.216575:0.000000
2:@0.095681:0.231391:0.106832:0.231391:0.106832:0.221416:0.095681:0.221416:0.000000
2:@0.118318:0.258492:0.129470:0.258492:0.129470:0.248517:0.118318:0.248517:0.000000
1:@0.129470:0.258895:0.136002:0.258895:0.136002:0.247468:0.129470:0.247468:0.000000
1:@0.108522:0.227136:0.115124:0.227136:0.115124:0.215588:0.108522:0.215588:0.000000
4:@0.108522:0.237848:0.115124:0.237848:0.115124:0.226300:0.108522:0.226300:0.000000
1:@0.158474:0.227930:0.165076:0.227930:0.165076:0.216382:0.158474:0.216382:0.000000
4:@0.158474:0.238643:0.165076:0.238643:0.165076:0.227094:0.158474:0.227094:0.000000
Figura 4.6:@0.055696:0.532597:0.107022:0.532597:0.107022:0.521169:0.055696:0.521169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.140211:0.465249:0.159352:0.465249:0.159352:0.452393:0.140211:0.452393:0.000000:0.000000:0.000000
2:@0.143509:0.464795:0.156054:0.464795:0.156054:0.453573:0.143509:0.453573:0.000000
0:@0.178796:0.446576:0.185328:0.446576:0.185328:0.435149:0.178796:0.435149:0.000000
y:@0.160783:0.369502:0.167237:0.369502:0.167237:0.356171:0.160783:0.356171:0.000000
x:@0.262509:0.461330:0.268948:0.461330:0.268948:0.447999:0.262509:0.447999:0.000000
L:@0.227220:0.381543:0.234148:0.381543:0.234148:0.367511:0.227220:0.367511:0.000000
c:@0.224461:0.456400:0.230030:0.456400:0.230030:0.445174:0.224461:0.445174:0.000000
–c:@0.098598:0.457848:0.111262:0.457848:0.111262:0.446623:0.098598:0.446623:0.000000:0.000000
 :@0.094202:0.491267:0.096913:0.491267:0.096913:0.478638:0.094202:0.478638:0.000000
5:@0.096913:0.490813:0.109458:0.490813:0.109458:0.479591:0.096913:0.479591:0.000000
 ( ,  ):@0.109458:0.491267:0.138871:0.491267:0.138871:0.478411:0.109458:0.478411:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.116747:0.491267:0.134880:0.491267:0.134880:0.478638:0.116747:0.478638:0.000000:0.000000:0.000000
Figura 4.7:@0.046978:0.756940:0.098304:0.756940:0.098304:0.745513:0.046978:0.745513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.058908:0.698938:0.062206:0.698938:0.062206:0.686082:0.058908:0.686082:0.000000
5:@0.062206:0.698484:0.074752:0.698484:0.074752:0.687262:0.062206:0.687262:0.000000
 :@0.074752:0.699381:0.078517:0.699381:0.078517:0.686967:0.074752:0.686967:0.000000
(0, 0):@0.078517:0.698938:0.107117:0.698938:0.107117:0.686082:0.078517:0.686082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.054691:0.657409:0.057658:0.657409:0.057658:0.644780:0.054691:0.644780:0.000000
:@0.054646:0.655957:0.059661:0.655957:0.059661:0.643544:0.054646:0.643544:0.000000
 :@0.059661:0.657409:0.062960:0.657409:0.062960:0.644553:0.059661:0.644553:0.000000
5:@0.062960:0.656955:0.075505:0.656955:0.075505:0.645733:0.062960:0.645733:0.000000
 :@0.075505:0.657852:0.079270:0.657852:0.079270:0.645438:0.075505:0.645438:0.000000
(0, 1):@0.079270:0.657409:0.107870:0.657409:0.107870:0.644553:0.079270:0.644553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.097034:0.622565:0.104029:0.622565:0.104029:0.608995:0.097034:0.608995:0.000000
x:@0.260759:0.695481:0.267579:0.695481:0.267579:0.681911:0.260759:0.681911:0.000000
y:@0.176259:0.716278:0.183053:0.716278:0.183053:0.702246:0.176259:0.702246:0.000000
2:@0.183053:0.710766:0.187813:0.710766:0.187813:0.702438:0.183053:0.702438:0.000000
   4:@0.187813:0.716278:0.217248:0.716278:0.217248:0.701994:0.187813:0.701994:0.000000:0.000000:0.000000:0.000000
5:@0.191478:0.715774:0.205417:0.715774:0.205417:0.703305:0.191478:0.703305:0.000000
cx:@0.217248:0.716278:0.230987:0.716278:0.230987:0.702246:0.217248:0.702246:0.000000:0.000000
Ejercicio resuelto:@0.293660:0.136836:0.422238:0.136836:0.422238:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación ( ,  )   :@0.293660:0.171340:0.443032:0.171347:0.443032:0.155634:0.293660:0.155628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.391863:0.171340:0.414725:0.171340:0.414725:0.155905:0.391863:0.155905:0.000000:0.000000:0.000000
[:@0.424323:0.171057:0.438959:0.171057:0.438959:0.157647:0.424323:0.157647:0.000000
R:@0.443657:0.170487:0.456948:0.170487:0.456948:0.157589:0.443657:0.157589:0.000000
2:@0.456993:0.165283:0.462230:0.165283:0.462230:0.156122:0.456993:0.156122:0.000000
, tal que      , representa a una parábola de vértice     (0, 0). :@0.462252:0.171347:0.930928:0.171347:0.930928:0.155634:0.462252:0.155634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.526328:0.171347:0.533801:0.171347:0.533801:0.155911:0.526328:0.155911:0.000000
2:@0.533826:0.165283:0.539063:0.165283:0.539063:0.156122:0.533826:0.156122:0.000000
5:@0.543743:0.170792:0.559076:0.170792:0.559076:0.157076:0.543743:0.157076:0.000000
x:@0.563770:0.171347:0.571225:0.171347:0.571225:0.155911:0.563770:0.155911:0.000000
5:@0.867901:0.170792:0.883234:0.170792:0.883234:0.157076:0.867901:0.157076:0.000000
Nota que la igualdad        tiene sentido en el conjunto de los números reales si y solo :@0.293650:0.187988:0.931233:0.187988:0.931233:0.172276:0.293650:0.172276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.448934:0.187988:0.456407:0.187988:0.456407:0.172553:0.448934:0.172553:0.000000
2:@0.456360:0.181925:0.461597:0.181925:0.461597:0.172764:0.456360:0.172764:0.000000
5:@0.465507:0.187434:0.480840:0.187434:0.480840:0.173718:0.465507:0.173718:0.000000
x:@0.484706:0.187988:0.492161:0.187988:0.492161:0.172553:0.484706:0.172553:0.000000
 :@0.926885:0.187988:0.930916:0.187988:0.930916:0.172276:0.926885:0.172276:0.000000
si   ≥ 0.:@0.293638:0.204630:0.346449:0.204630:0.346449:0.188918:0.293638:0.188918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.308143:0.204630:0.315598:0.204630:0.315598:0.189195:0.308143:0.189195:0.000000
Determinemos las coordenadas del foco     ( , 0). Se tiene 1   4 , donde      . La :@0.293638:0.239134:0.930946:0.239141:0.930946:0.223428:0.293638:0.223422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.614104:0.238586:0.629437:0.238586:0.629437:0.224870:0.614104:0.224870:0.000000
c:@0.639377:0.239141:0.647034:0.239141:0.647034:0.223705:0.639377:0.223705:0.000000
5:@0.756521:0.238586:0.771854:0.238586:0.771854:0.224870:0.756521:0.224870:0.000000
c:@0.785899:0.239141:0.793556:0.239141:0.793556:0.223705:0.785899:0.223705:0.000000
c:@0.855662:0.239141:0.863319:0.239141:0.863319:0.223705:0.855662:0.223705:0.000000
5:@0.868271:0.238586:0.883604:0.238586:0.883604:0.224870:0.868271:0.224870:0.000000
1:@0.891049:0.235698:0.900032:0.235698:0.900032:0.219264:0.891049:0.219264:0.000000
4:@0.890166:0.247694:0.899148:0.247694:0.899148:0.231260:0.890166:0.231260:0.000000
ecuación cartesiana de la directriz de la parábola  ( ,  ) es       . En la Figura 4.5. se :@0.293660:0.257592:0.930818:0.257592:0.930818:0.241879:0.293660:0.241879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.693188:0.251587:0.702171:0.251587:0.702171:0.235153:0.693188:0.235153:0.000000
4:@0.692304:0.263583:0.701287:0.263583:0.701287:0.247149:0.692304:0.247149:0.000000
x:@0.738661:0.257592:0.746115:0.257592:0.746115:0.242156:0.738661:0.242156:0.000000
5:@0.750717:0.257037:0.766050:0.257037:0.766050:0.243321:0.750717:0.243321:0.000000
1:@0.773159:0.252801:0.782142:0.252801:0.782142:0.236367:0.773159:0.236367:0.000000
4:@0.772275:0.264797:0.781258:0.264797:0.781258:0.248363:0.772275:0.248363:0.000000
muestran la recta  , el foco   y una porción de la parábola. :@0.293660:0.274233:0.716646:0.274233:0.716646:0.258521:0.293660:0.258521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.423155:0.274233:0.430776:0.274233:0.430776:0.258798:0.423155:0.258798:0.000000
Si la recta   es paralela al eje  , y tiene como ecuación cartesiana       con     :@0.293660:0.308744:0.874871:0.308744:0.874871:0.293031:0.293660:0.293031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.367418:0.308744:0.375039:0.308744:0.375039:0.293309:0.367418:0.293309:0.000000
Y:@0.503061:0.308744:0.511970:0.308744:0.511970:0.293309:0.503061:0.293309:0.000000
x:@0.768880:0.308744:0.776335:0.308744:0.776335:0.293309:0.768880:0.293309:0.000000
5:@0.780642:0.308189:0.795976:0.308189:0.795976:0.294473:0.780642:0.294473:0.000000
c:@0.800265:0.308744:0.807922:0.308744:0.807922:0.293309:0.800265:0.293309:0.000000
c:@0.844276:0.308744:0.851934:0.308744:0.851934:0.293309:0.844276:0.293309:0.000000
[:@0.856276:0.308454:0.870912:0.308454:0.870912:0.295044:0.856276:0.295044:0.000000
R:@0.875202:0.307884:0.888492:0.307884:0.888492:0.294987:0.875202:0.294987:0.000000
1:@0.888419:0.308189:0.903752:0.308189:0.903752:0.294473:0.888419:0.294473:0.000000
, se :@0.903678:0.308744:0.930921:0.308744:0.930921:0.293031:0.903678:0.293031:0.000000:0.000000:0.000000:0.000000:0.000000
deduce inmediatamente que la ecuación canónica de la parábola es :@0.293662:0.325386:0.793487:0.325386:0.793487:0.309673:0.293662:0.309673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.293662:0.359890:0.301135:0.359890:0.301135:0.344454:0.293662:0.344454:0.000000
2:@0.301067:0.353832:0.306303:0.353832:0.306303:0.344672:0.301067:0.344672:0.000000
   4 . Así,  ( , :@0.306257:0.359896:0.419678:0.359896:0.419678:0.344183:0.306257:0.344183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.310215:0.359341:0.325548:0.359341:0.325548:0.345626:0.310215:0.345626:0.000000
cx:@0.338304:0.359896:0.353343:0.359896:0.353343:0.344461:0.338304:0.344461:0.000000:0.000000
2 5:@0.419591:0.359341:0.466493:0.359341:0.466493:0.345626:0.419591:0.345626:0.000000:0.000000:0.000000
c:@0.434832:0.359896:0.442489:0.359896:0.442489:0.344461:0.434832:0.344461:0.000000
)   {( ,  )     |      4 }.:@0.442416:0.359896:0.642078:0.359896:0.642078:0.344183:0.442416:0.344183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.479948:0.359896:0.501871:0.359896:0.501871:0.344461:0.479948:0.344461:0.000000:0.000000:0.000000
[:@0.510573:0.359606:0.525209:0.359606:0.525209:0.346196:0.510573:0.346196:0.000000
R:@0.529079:0.359036:0.542369:0.359036:0.542369:0.346139:0.529079:0.346139:0.000000
2:@0.542270:0.353832:0.547507:0.353832:0.547507:0.344672:0.542270:0.344672:0.000000
y:@0.559186:0.359896:0.566660:0.359896:0.566660:0.344461:0.559186:0.344461:0.000000
2:@0.566589:0.353832:0.571826:0.353832:0.571826:0.344672:0.566589:0.344672:0.000000
5 2:@0.575738:0.359341:0.610270:0.359341:0.610270:0.345626:0.575738:0.345626:0.000000:0.000000:0.000000
cx:@0.619087:0.359896:0.634126:0.359896:0.634126:0.344461:0.619087:0.344461:0.000000:0.000000
Como   > 0, la ecuación ( ,  )   :@0.293684:0.394400:0.536234:0.394406:0.536234:0.378694:0.293684:0.378687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.343917:0.394400:0.351574:0.394400:0.351574:0.378965:0.343917:0.378965:0.000000
x y:@0.484420:0.394400:0.507594:0.394400:0.507594:0.378965:0.484420:0.378965:0.000000:0.000000:0.000000
[:@0.517484:0.394116:0.532120:0.394116:0.532120:0.380707:0.517484:0.380707:0.000000
R:@0.537099:0.393547:0.550389:0.393547:0.550389:0.380649:0.537099:0.380649:0.000000
2:@0.550471:0.388342:0.555708:0.388342:0.555708:0.379182:0.550471:0.379182:0.000000
, tal que      4 , tiene sentido en   si y solo si  :@0.555753:0.394406:0.930974:0.394406:0.930974:0.378694:0.555753:0.378694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.620785:0.394406:0.628259:0.394406:0.628259:0.378971:0.620785:0.378971:0.000000
2:@0.628322:0.388342:0.633559:0.388342:0.633559:0.379182:0.628322:0.379182:0.000000
5 2:@0.638502:0.393852:0.674156:0.393852:0.674156:0.380136:0.638502:0.380136:0.000000:0.000000:0.000000
cx:@0.683305:0.394406:0.698472:0.394406:0.698472:0.378971:0.683305:0.378971:0.000000:0.000000
R:@0.833508:0.393547:0.846798:0.393547:0.846798:0.380649:0.833508:0.380649:0.000000
x:@0.293697:0.411048:0.301152:0.411048:0.301152:0.395613:0.293697:0.395613:0.000000
 ≤ 0. En la Figura 4.6. se muestra el conjunto  ( , :@0.301078:0.411048:0.651926:0.411048:0.651926:0.395336:0.301078:0.395336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.651839:0.410494:0.667172:0.410494:0.667172:0.396778:0.651839:0.396778:0.000000
c:@0.667080:0.411048:0.674737:0.411048:0.674737:0.395613:0.667080:0.395613:0.000000
).:@0.674664:0.411048:0.682671:0.411048:0.682671:0.395336:0.674664:0.395336:0.000000:0.000000
4.2 Problemas relativos a la parábola:@0.293652:0.445552:0.581306:0.445552:0.581306:0.428605:0.293652:0.428605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Problema 1:@0.293652:0.480056:0.383455:0.480056:0.383455:0.463109:0.293652:0.463109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Consideremos la parábola:@0.383369:0.480056:0.579172:0.480056:0.579172:0.464344:0.383369:0.464344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  )   {( ,  )     |     4 }, donde   > 0. Se tiene la siguiente equivalencia: ( ,  )   :@0.305452:0.514581:0.915183:0.514581:0.915183:0.498868:0.305452:0.498868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.324668:0.514581:0.332325:0.514581:0.332325:0.499145:0.324668:0.499145:0.000000
5:@0.340940:0.514026:0.356273:0.514026:0.356273:0.500310:0.340940:0.500310:0.000000
x y:@0.369655:0.514581:0.391523:0.514581:0.391523:0.499145:0.369655:0.499145:0.000000:0.000000:0.000000
[:@0.400156:0.514291:0.414792:0.514291:0.414792:0.500881:0.400156:0.500881:0.000000
R:@0.418588:0.513721:0.431879:0.513721:0.431879:0.500823:0.418588:0.500823:0.000000
2:@0.431790:0.508517:0.437027:0.508517:0.437027:0.499356:0.431790:0.499356:0.000000
y:@0.448576:0.514581:0.456049:0.514581:0.456049:0.499145:0.448576:0.499145:0.000000
2:@0.455982:0.508517:0.461219:0.508517:0.461219:0.499356:0.455982:0.499356:0.000000
5:@0.465057:0.514026:0.480390:0.514026:0.480390:0.500310:0.465057:0.500310:0.000000
cx:@0.493091:0.514581:0.508130:0.514581:0.508130:0.499145:0.493091:0.499145:0.000000:0.000000
c:@0.571984:0.514581:0.579642:0.514581:0.579642:0.499145:0.571984:0.499145:0.000000
x y:@0.866114:0.514581:0.887982:0.514581:0.887982:0.499145:0.866114:0.499145:0.000000:0.000000:0.000000
[:@0.896603:0.514291:0.911239:0.514291:0.911239:0.500881:0.896603:0.500881:0.000000
( ,  )       4 .:@0.293660:0.531222:0.411816:0.531222:0.411816:0.515510:0.293660:0.515510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.312939:0.531222:0.320597:0.531222:0.320597:0.515787:0.312939:0.515787:0.000000
y:@0.348986:0.531222:0.356459:0.531222:0.356459:0.515787:0.348986:0.515787:0.000000
2:@0.356392:0.525159:0.361629:0.525159:0.361629:0.515998:0.356392:0.515998:0.000000
5:@0.365540:0.530668:0.380874:0.530668:0.380874:0.516952:0.365540:0.516952:0.000000
cx:@0.393630:0.531222:0.408669:0.531222:0.408669:0.515787:0.393630:0.515787:0.000000:0.000000
Sea ( ,  )    ( ,  ), es decir, :@0.293660:0.565727:0.523026:0.565733:0.523026:0.550020:0.293660:0.550014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.331448:0.565727:0.361933:0.565733:0.361933:0.550298:0.331448:0.550291:0.000000:0.000000:0.000000
0:@0.339113:0.568905:0.344350:0.568905:0.344350:0.559745:0.339113:0.559745:0.000000
0:@0.362147:0.568905:0.367384:0.568905:0.367384:0.559745:0.362147:0.559745:0.000000
[:@0.378635:0.565443:0.393271:0.565443:0.393271:0.552033:0.378635:0.552033:0.000000
c:@0.433955:0.565733:0.441613:0.565733:0.441613:0.550298:0.433955:0.550298:0.000000
y:@0.524959:0.565733:0.532432:0.565733:0.532432:0.550298:0.524959:0.550298:0.000000
0 :@0.532648:0.568905:0.540386:0.568905:0.540386:0.559745:0.532648:0.559745:0.000000:0.000000
2:@0.540439:0.559672:0.545676:0.559672:0.545676:0.550511:0.540439:0.550511:0.000000
   4:@0.545826:0.565733:0.582365:0.565733:0.582365:0.550020:0.545826:0.550020:0.000000:0.000000:0.000000:0.000000
5:@0.551790:0.565178:0.567123:0.565178:0.567123:0.551462:0.551790:0.551462:0.000000
cx:@0.582622:0.565733:0.597937:0.565733:0.597937:0.550298:0.582622:0.550298:0.000000:0.000000
0:@0.598161:0.568905:0.603398:0.568905:0.603398:0.559745:0.598161:0.559745:0.000000
. Determinemos una recta   que pasa por :@0.603548:0.565733:0.930939:0.565733:0.930939:0.550020:0.603548:0.550020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.811071:0.565733:0.818692:0.565733:0.818692:0.550298:0.811071:0.550298:0.000000
 :@0.926908:0.565733:0.930939:0.565733:0.930939:0.550020:0.926908:0.550020:0.000000
( ,  ) y es tangente a  ( ,  ) en dicho punto.:@0.293662:0.582375:0.617299:0.582375:0.617299:0.566662:0.293662:0.566662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.298466:0.582375:0.326114:0.582375:0.326114:0.566939:0.298466:0.566939:0.000000:0.000000:0.000000
0:@0.305846:0.585547:0.311083:0.585547:0.311083:0.576387:0.305846:0.576387:0.000000
0:@0.326052:0.585547:0.331289:0.585547:0.331289:0.576387:0.326052:0.576387:0.000000
c:@0.485368:0.582375:0.493026:0.582375:0.493026:0.566939:0.485368:0.566939:0.000000
Si         0, esto es, ( ,  ) es el vértice de la parábola, el eje   es la recta tangente a :@0.293657:0.616879:0.915149:0.616885:0.915149:0.601172:0.293657:0.601166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.309874:0.616879:0.317329:0.616879:0.317329:0.601443:0.309874:0.601443:0.000000
0:@0.317273:0.620057:0.322510:0.620057:0.322510:0.610897:0.317273:0.610897:0.000000
5:@0.326994:0.616330:0.342327:0.616330:0.342327:0.602615:0.326994:0.602615:0.000000
y:@0.346230:0.616885:0.353703:0.616885:0.353703:0.601450:0.346230:0.601450:0.000000
0:@0.353643:0.620057:0.358880:0.620057:0.358880:0.610897:0.353643:0.610897:0.000000
5:@0.362828:0.616330:0.378161:0.616330:0.378161:0.602615:0.362828:0.602615:0.000000
x y:@0.460276:0.616885:0.487989:0.616885:0.487989:0.601450:0.460276:0.601450:0.000000:0.000000:0.000000
0:@0.467666:0.620057:0.472902:0.620057:0.472902:0.610897:0.467666:0.610897:0.000000
0:@0.487920:0.620057:0.493157:0.620057:0.493157:0.610897:0.487920:0.610897:0.000000
Y:@0.743411:0.616885:0.752320:0.616885:0.752320:0.601450:0.743411:0.601450:0.000000
( ,  ) en (0, 0) cuya ecuación vectorial está definida como  ( )    (0, 1), :@0.293660:0.633527:0.825887:0.633527:0.825887:0.617814:0.293660:0.617814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.314470:0.633527:0.322128:0.633527:0.322128:0.618092:0.314470:0.618092:0.000000
t:@0.740956:0.633527:0.746331:0.633527:0.746331:0.618092:0.740956:0.618092:0.000000
5:@0.756345:0.632972:0.771678:0.632972:0.771678:0.619257:0.756345:0.619257:0.000000
t:@0.776758:0.633527:0.782133:0.633527:0.782133:0.618092:0.776758:0.618092:0.000000
;:@0.826808:0.632972:0.839085:0.632972:0.839085:0.619257:0.826808:0.619257:0.000000
t:@0.839196:0.633527:0.844571:0.633527:0.844571:0.618092:0.839196:0.618092:0.000000
    . En la :@0.844644:0.633527:0.930956:0.633527:0.930956:0.617814:0.844644:0.617814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.849606:0.633237:0.864242:0.633237:0.864242:0.619827:0.849606:0.619827:0.000000
R:@0.869310:0.632667:0.882600:0.632667:0.882600:0.619770:0.869310:0.619770:0.000000
Figura 4.7. se muestran la parábola  ( ,  ) y la recta tangente en (0, 0).:@0.293660:0.650169:0.793807:0.650169:0.793807:0.634456:0.293660:0.634456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.578315:0.650169:0.585972:0.650169:0.585972:0.634733:0.578315:0.634733:0.000000
Supongamos que   ≠ 0,   ≠ 0 y   la recta tangente a la parábola  ( ,  ) en el punto ( , :@0.293647:0.684673:0.930943:0.684680:0.930943:0.668968:0.293647:0.668960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.427854:0.684673:0.435309:0.684673:0.435309:0.669237:0.427854:0.669237:0.000000
0:@0.435259:0.687853:0.440496:0.687853:0.440496:0.678692:0.435259:0.678692:0.000000
y:@0.476401:0.684680:0.483874:0.684680:0.483874:0.669245:0.476401:0.669245:0.000000
0:@0.483815:0.687853:0.489052:0.687853:0.489052:0.678692:0.483815:0.678692:0.000000
L:@0.533495:0.684680:0.541116:0.684680:0.541116:0.669245:0.533495:0.669245:0.000000
c:@0.800659:0.684680:0.808317:0.684680:0.808317:0.669245:0.800659:0.669245:0.000000
x:@0.910588:0.684680:0.918043:0.684680:0.918043:0.669245:0.910588:0.669245:0.000000
0:@0.917982:0.687853:0.923219:0.687853:0.923219:0.678692:0.917982:0.678692:0.000000
y:@0.293665:0.701322:0.301138:0.701322:0.301138:0.685887:0.293665:0.685887:0.000000
0:@0.301067:0.704495:0.306303:0.704495:0.306303:0.695334:0.301067:0.695334:0.000000
)    ( ,  ), la ecuación cartesiana es::@0.306257:0.701322:0.566801:0.701322:0.566801:0.685610:0.306257:0.685610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.315004:0.701032:0.329640:0.701032:0.329640:0.687622:0.315004:0.687622:0.000000
c:@0.364575:0.701322:0.372232:0.701322:0.372232:0.685887:0.364575:0.685887:0.000000
( ,  )     tal que          (     ),:@0.476767:0.735826:0.743813:0.735833:0.743813:0.720120:0.476767:0.720114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.481571:0.735826:0.503494:0.735826:0.503494:0.720391:0.481571:0.720391:0.000000:0.000000:0.000000
[:@0.512179:0.735543:0.526816:0.735543:0.526816:0.722133:0.512179:0.722133:0.000000
R:@0.530685:0.734973:0.543975:0.734973:0.543975:0.722075:0.530685:0.722075:0.000000
2:@0.543877:0.729769:0.549113:0.729769:0.549113:0.720608:0.543877:0.720608:0.000000
y:@0.607069:0.735833:0.614542:0.735833:0.614542:0.720397:0.607069:0.720397:0.000000
2:@0.618426:0.735278:0.633759:0.735278:0.633759:0.721562:0.618426:0.721562:0.000000
y:@0.637625:0.735833:0.645098:0.735833:0.645098:0.720397:0.637625:0.720397:0.000000
0:@0.645018:0.739005:0.650255:0.739005:0.650255:0.729844:0.645018:0.729844:0.000000
5:@0.654165:0.735278:0.669498:0.735278:0.669498:0.721562:0.654165:0.721562:0.000000
m x:@0.673363:0.735833:0.700164:0.735833:0.700164:0.720397:0.673363:0.720397:0.000000:0.000000:0.000000
2:@0.704048:0.735278:0.719381:0.735278:0.719381:0.721562:0.704048:0.721562:0.000000
x:@0.723247:0.735833:0.730702:0.735833:0.730702:0.720397:0.723247:0.720397:0.000000
0:@0.730615:0.739005:0.735852:0.739005:0.735852:0.729844:0.730615:0.729844:0.000000
donde   ≠ 0 es la pendiente.:@0.293663:0.770337:0.506181:0.770337:0.506181:0.754624:0.293663:0.754624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.345830:0.770337:0.360445:0.770337:0.360445:0.754901:0.345830:0.754901:0.000000
De la ecuación cartesiana de   se obtiene          (     ). Reemplazando en la :@0.293663:0.804841:0.931061:0.804853:0.931061:0.789141:0.293663:0.789128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.518766:0.804841:0.526386:0.804841:0.526386:0.789405:0.518766:0.789405:0.000000
y:@0.617613:0.804841:0.625086:0.804841:0.625086:0.789405:0.617613:0.789405:0.000000
5:@0.630719:0.804286:0.646052:0.804286:0.646052:0.790570:0.630719:0.790570:0.000000
y:@0.651740:0.804841:0.659213:0.804841:0.659213:0.789405:0.651740:0.789405:0.000000
0:@0.659370:0.808026:0.664607:0.808026:0.664607:0.798865:0.659370:0.798865:0.000000
1:@0.670196:0.804299:0.685529:0.804299:0.685529:0.790583:0.670196:0.790583:0.000000
m x:@0.691217:0.804853:0.718496:0.804853:0.718496:0.789418:0.691217:0.789418:0.000000:0.000000:0.000000
2:@0.724129:0.804299:0.739462:0.804299:0.739462:0.790583:0.724129:0.790583:0.000000
x:@0.745150:0.804853:0.752605:0.804853:0.752605:0.789418:0.745150:0.789418:0.000000
0:@0.752769:0.808026:0.758006:0.808026:0.758006:0.798865:0.752769:0.798865:0.000000
ecuación cartesiana de la parábola, resulta::@0.293657:0.821495:0.602750:0.821495:0.602750:0.805782:0.293657:0.805782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[     (     )]    4    (:@0.415108:0.855999:0.608459:0.856007:0.608459:0.840294:0.415108:0.840287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.419912:0.855999:0.427385:0.855999:0.427385:0.840564:0.419912:0.840564:0.000000
0:@0.427320:0.859179:0.432557:0.859179:0.432557:0.850019:0.427320:0.850019:0.000000
1:@0.436467:0.855452:0.451800:0.855452:0.451800:0.841736:0.436467:0.841736:0.000000
m x:@0.455666:0.856007:0.482467:0.856007:0.482467:0.840571:0.455666:0.840571:0.000000:0.000000:0.000000
2:@0.486351:0.855452:0.501684:0.855452:0.501684:0.841736:0.486351:0.841736:0.000000
x:@0.505549:0.856007:0.513004:0.856007:0.513004:0.840571:0.505549:0.840571:0.000000
0:@0.512919:0.859179:0.518156:0.859179:0.518156:0.850019:0.512919:0.850019:0.000000
2:@0.527703:0.849943:0.532940:0.849943:0.532940:0.840782:0.527703:0.840782:0.000000
5:@0.536850:0.855452:0.552183:0.855452:0.552183:0.841736:0.536850:0.841736:0.000000
cx:@0.564940:0.856007:0.579978:0.856007:0.579978:0.840571:0.564940:0.840571:0.000000:0.000000
mx:@0.608372:0.856007:0.630369:0.856007:0.630369:0.840571:0.608372:0.840571:0.000000:0.000000
       :@0.630314:0.856007:0.689279:0.856007:0.689279:0.840294:0.630314:0.840294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.634271:0.855452:0.649605:0.855452:0.649605:0.841736:0.634271:0.841736:0.000000
y:@0.653470:0.856007:0.660943:0.856007:0.660943:0.840571:0.653470:0.840571:0.000000
0:@0.660860:0.859179:0.666097:0.859179:0.666097:0.850019:0.660860:0.850019:0.000000
2:@0.670006:0.855452:0.685340:0.855452:0.685340:0.841736:0.670006:0.841736:0.000000
mx:@0.689205:0.856007:0.711202:0.856007:0.711202:0.840571:0.689205:0.840571:0.000000:0.000000
0:@0.711130:0.859179:0.716367:0.859179:0.716367:0.850019:0.711130:0.850019:0.000000
)    4    0:@0.716319:0.856007:0.805477:0.856007:0.805477:0.840294:0.716319:0.840294:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.721117:0.849943:0.726354:0.849943:0.726354:0.840782:0.721117:0.840782:0.000000
2:@0.730265:0.855452:0.745598:0.855452:0.745598:0.841736:0.730265:0.841736:0.000000
cx:@0.758355:0.856007:0.773393:0.856007:0.773393:0.840571:0.758355:0.840571:0.000000:0.000000
5:@0.777296:0.855452:0.792629:0.855452:0.792629:0.841736:0.777296:0.841736:0.000000
 :@0.445276:0.890517:0.449307:0.890517:0.449307:0.874804:0.445276:0.874804:0.000000
m x:@0.449227:0.890517:0.476421:0.890517:0.476421:0.875082:0.449227:0.875082:0.000000:0.000000:0.000000
2 2:@0.463775:0.884453:0.481591:0.884453:0.481591:0.875293:0.463775:0.875293:0.000000:0.000000:0.000000
   2 (    :@0.481543:0.890517:0.568762:0.890517:0.568762:0.874804:0.481543:0.874804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.485501:0.889962:0.500834:0.889962:0.500834:0.876247:0.485501:0.876247:0.000000
m y:@0.513590:0.890517:0.540409:0.890517:0.540409:0.875082:0.513590:0.875082:0.000000:0.000000:0.000000
0:@0.540342:0.893690:0.545579:0.893690:0.545579:0.884529:0.540342:0.884529:0.000000
2:@0.549489:0.889962:0.564822:0.889962:0.564822:0.876247:0.549489:0.876247:0.000000
mx x:@0.568688:0.890517:0.608061:0.890517:0.608061:0.875082:0.568688:0.875082:0.000000:0.000000:0.000000:0.000000
0:@0.590611:0.893690:0.595848:0.893690:0.595848:0.884529:0.590611:0.884529:0.000000
)    (    :@0.595802:0.890517:0.671753:0.890517:0.671753:0.874804:0.595802:0.874804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.611945:0.889962:0.627278:0.889962:0.627278:0.876247:0.611945:0.876247:0.000000
y:@0.635930:0.890517:0.643403:0.890517:0.643403:0.875082:0.635930:0.875082:0.000000
0:@0.643334:0.893690:0.648571:0.893690:0.648571:0.884529:0.643334:0.884529:0.000000
2:@0.652481:0.889962:0.667814:0.889962:0.667814:0.876247:0.652481:0.876247:0.000000
mx:@0.671680:0.890517:0.693677:0.890517:0.693677:0.875082:0.671680:0.875082:0.000000:0.000000
0:@0.693605:0.893690:0.698841:0.893690:0.698841:0.884529:0.693605:0.884529:0.000000
)    4    0.:@0.698794:0.890517:0.791081:0.890517:0.791081:0.874804:0.698794:0.874804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.703591:0.884453:0.708828:0.884453:0.708828:0.875293:0.703591:0.875293:0.000000
2:@0.712740:0.889962:0.728073:0.889962:0.728073:0.876247:0.712740:0.876247:0.000000
cx:@0.740829:0.890517:0.755868:0.890517:0.755868:0.875082:0.740829:0.875082:0.000000:0.000000
5:@0.759770:0.889962:0.775104:0.889962:0.775104:0.876247:0.759770:0.876247:0.000000
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