﻿175:@0.918240:0.966765:0.943652:0.966765:0.943652:0.950778:0.918240:0.950778:0.000000:0.000000:0.000000
El dominio de la función  , es definida como::@0.108231:0.538681:0.423023:0.538681:0.423023:0.522184:0.108231:0.522184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.286608:0.538797:0.290904:0.538797:0.290904:0.522328:0.286608:0.522328:0.000000
f x:@0.236152:0.563276:0.253876:0.563276:0.253876:0.546807:0.236152:0.546807:0.000000:0.000000:0.000000
( ) = –3sen   2  –       ,        .:@0.240448:0.563160:0.467835:0.563160:0.467835:0.546662:0.240448:0.546663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.342882:0.563276:0.350357:0.563276:0.350357:0.546807:0.342882:0.546807:0.000000
∀:@0.409180:0.570746:0.420752:0.570746:0.420752:0.551747:0.409180:0.551747:0.000000
x:@0.420759:0.563275:0.428234:0.563275:0.428234:0.546806:0.420759:0.546806:0.000000
:@0.432377:0.562641:0.447029:0.562641:0.447029:0.549268:0.432377:0.549268:0.000000
R:@0.451171:0.562191:0.465080:0.562191:0.465080:0.548744:0.451171:0.548744:0.000000
El recorrido es [–3, 3], el período es π, la amplitud es 3, la gráfica de :@0.108230:0.592584:0.599970:0.592584:0.599970:0.576086:0.108230:0.576086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función se refleja sobre el eje de las  , y tiene un desplazamiento :@0.108230:0.609934:0.599916:0.609934:0.599916:0.593437:0.108230:0.593437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388212:0.610050:0.395687:0.610050:0.395687:0.593581:0.388212:0.593581:0.000000
horizontal hacia la derecha de π/6 unidades.:@0.108230:0.627285:0.421672:0.627285:0.421672:0.610787:0.108230:0.610787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108230:0.662363:0.226208:0.662363:0.226208:0.645576:0.108230:0.645576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafiquemos la función  , definida como::@0.108230:0.679337:0.397918:0.679337:0.397918:0.662840:0.108230:0.662840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.280016:0.679453:0.284312:0.679453:0.284312:0.662984:0.280016:0.662984:0.000000
f x:@0.243722:0.703932:0.261446:0.703932:0.261446:0.687463:0.243722:0.687463:0.000000:0.000000:0.000000
( ) = 2cos(2 ) + 1,           .:@0.248018:0.703816:0.460263:0.703813:0.460263:0.687315:0.248018:0.687319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.332978:0.703932:0.340453:0.703932:0.340453:0.687463:0.332978:0.687463:0.000000
∀:@0.401608:0.711399:0.413180:0.711399:0.413180:0.692400:0.401608:0.692400:0.000000
x:@0.413189:0.703928:0.420664:0.703928:0.420664:0.687459:0.413189:0.687459:0.000000
:@0.424805:0.703294:0.439457:0.703294:0.439457:0.689921:0.424805:0.689921:0.000000
R:@0.443598:0.702844:0.457508:0.702844:0.457508:0.689397:0.443598:0.689397:0.000000
El dominio de esta función es  .:@0.108229:0.878072:0.338543:0.878072:0.338543:0.861574:0.108229:0.861574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.321879:0.877103:0.335788:0.877103:0.335788:0.863656:0.321879:0.863656:0.000000
El recorrido es [–1, 3], el período es π, la amplitud es 2, y la gráfica de :@0.108229:0.912773:0.599948:0.912773:0.599948:0.896276:0.108229:0.896276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función se desplazó una unidad hacia arriba del eje de las  .:@0.108229:0.930124:0.543539:0.930124:0.543539:0.913627:0.108229:0.913627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.533309:0.930240:0.540784:0.930240:0.540784:0.913771:0.533309:0.913771:0.000000
π:@0.372366:0.566566:0.382770:0.566566:0.382770:0.550068:0.372366:0.550068:0.000000
3:@0.373310:0.582904:0.381806:0.582904:0.381806:0.566407:0.373310:0.566407:0.000000
p:@0.431707:0.856530:0.443187:0.856530:0.443187:0.846506:0.431707:0.846506:0.000000
 :@0.443187:0.857238:0.446069:0.857238:0.446069:0.845761:0.443187:0.845761:0.000000
Figura 5.9.   = –3sen(2:@0.446069:0.857238:0.556139:0.857238:0.556139:0.845761:0.446069:0.845761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.497519:0.857318:0.502866:0.857318:0.502866:0.845862:0.497519:0.845862:0.000000
x –:@0.556139:0.857318:0.571202:0.857318:0.571202:0.845862:0.556139:0.845862:0.000000:0.000000:0.000000
 π/3):@0.571202:0.857238:0.595768:0.857238:0.595768:0.845761:0.571202:0.845761:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.259710:0.773612:0.265620:0.773612:0.265620:0.762136:0.259710:0.762136:0.000000
4:@0.259710:0.726921:0.265620:0.726921:0.265620:0.715444:0.259710:0.715444:0.000000
0:@0.259710:0.814771:0.265620:0.814771:0.265620:0.803295:0.259710:0.803295:0.000000
–π:@0.110458:0.829550:0.124999:0.829550:0.124999:0.818073:0.110458:0.818073:0.000000:0.000000
–:@0.181019:0.832597:0.188323:0.832597:0.188323:0.821121:0.181019:0.821121:0.000000
π:@0.426797:0.829550:0.434034:0.829550:0.434034:0.818073:0.426797:0.818073:0.000000
2π:@0.581026:0.829550:0.594173:0.829550:0.594173:0.818073:0.581026:0.818073:0.000000:0.000000
π:@0.348169:0.827350:0.355483:0.827350:0.355483:0.815752:0.348169:0.815752:0.000000
2:@0.348833:0.838033:0.354806:0.838033:0.354806:0.826435:0.348833:0.826435:0.000000
π:@0.190394:0.827350:0.197707:0.827350:0.197707:0.815752:0.190394:0.815752:0.000000
2:@0.191057:0.838033:0.197030:0.838033:0.197030:0.826435:0.191057:0.826435:0.000000
3π:@0.502616:0.827350:0.515903:0.827350:0.515903:0.815752:0.502616:0.815752:0.000000:0.000000
2:@0.506273:0.838033:0.512246:0.838033:0.512246:0.826435:0.506273:0.826435:0.000000
p:@0.431707:0.506725:0.443187:0.506725:0.443187:0.496701:0.431707:0.496701:0.000000
 :@0.443187:0.507433:0.446069:0.507433:0.446069:0.495956:0.443187:0.495956:0.000000
Figura 5.8.   = –3sen(2:@0.446069:0.507433:0.556139:0.507433:0.556139:0.495956:0.446069:0.495956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.497519:0.507513:0.502866:0.507513:0.502866:0.496057:0.497519:0.496057:0.000000
x –:@0.556139:0.507513:0.571202:0.507513:0.571202:0.496057:0.556139:0.496057:0.000000:0.000000:0.000000
 π/3):@0.571202:0.507433:0.595768:0.507433:0.595768:0.495956:0.571202:0.495956:0.000000:0.000000:0.000000:0.000000:0.000000
–1:@0.331537:0.425746:0.344752:0.425746:0.344752:0.414269:0.331537:0.414269:0.000000:0.000000
–2:@0.331537:0.461383:0.344752:0.461383:0.344752:0.449906:0.331537:0.449906:0.000000:0.000000
–3:@0.331537:0.493248:0.344752:0.493248:0.344752:0.481771:0.331537:0.481771:0.000000:0.000000
1:@0.338842:0.354462:0.344752:0.354462:0.344752:0.342985:0.338842:0.342985:0.000000
2:@0.338842:0.318825:0.344752:0.318825:0.344752:0.307348:0.338842:0.307348:0.000000
3:@0.338842:0.283188:0.344752:0.283188:0.344752:0.271712:0.338842:0.271712:0.000000
0:@0.342192:0.383823:0.348102:0.383823:0.348102:0.372346:0.342192:0.372346:0.000000
–π:@0.263762:0.399295:0.278303:0.399295:0.278303:0.387818:0.263762:0.387818:0.000000:0.000000
–2π:@0.178432:0.399295:0.198884:0.399295:0.198884:0.387818:0.178432:0.387818:0.000000:0.000000:0.000000
–3π:@0.109881:0.399295:0.130333:0.399295:0.130333:0.387818:0.109881:0.387818:0.000000:0.000000:0.000000
π:@0.430777:0.399295:0.438014:0.399295:0.438014:0.387818:0.430777:0.387818:0.000000
2π:@0.509500:0.399295:0.522647:0.399295:0.522647:0.387818:0.509500:0.387818:0.000000:0.000000
3π:@0.584001:0.399295:0.597148:0.399295:0.597148:0.387818:0.584001:0.387818:0.000000:0.000000
p:@0.314517:0.246281:0.325997:0.246281:0.325997:0.236257:0.314517:0.236257:0.000000
 :@0.325997:0.246989:0.328879:0.246989:0.328879:0.235513:0.325997:0.235513:0.000000
Figura 5.6.   = sen(2:@0.328879:0.246989:0.425735:0.246989:0.425735:0.235513:0.328879:0.235513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.380329:0.247070:0.385676:0.247070:0.385676:0.235613:0.380329:0.235613:0.000000
x –:@0.425735:0.247070:0.440798:0.247070:0.440798:0.235613:0.425735:0.235613:0.000000:0.000000:0.000000
 π/3):@0.440798:0.246989:0.465364:0.246989:0.465364:0.235513:0.440798:0.235513:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.274725:0.108789:0.280635:0.108789:0.280635:0.097313:0.274725:0.097313:0.000000
1:@0.274725:0.135514:0.280635:0.135514:0.280635:0.124038:0.274725:0.124038:0.000000
0:@0.278076:0.155953:0.283986:0.155953:0.283986:0.144476:0.278076:0.144476:0.000000
–1:@0.267421:0.188965:0.280635:0.188965:0.280635:0.177488:0.267421:0.177488:0.000000:0.000000
–2:@0.267421:0.215690:0.280635:0.215690:0.280635:0.204213:0.267421:0.204213:0.000000:0.000000
π:@0.344211:0.171433:0.351448:0.171433:0.351448:0.159956:0.344211:0.159956:0.000000
–π:@0.218487:0.171433:0.233028:0.171433:0.233028:0.159956:0.218487:0.159956:0.000000:0.000000
–2π:@0.159519:0.171433:0.179970:0.171433:0.179970:0.159956:0.159519:0.159956:0.000000:0.000000:0.000000
–3π:@0.109865:0.171433:0.130316:0.171433:0.130316:0.159956:0.109865:0.159956:0.000000:0.000000:0.000000
2π:@0.400606:0.171433:0.413753:0.171433:0.413753:0.159956:0.400606:0.159956:0.000000:0.000000
3π:@0.451587:0.171433:0.464734:0.171433:0.464734:0.159956:0.451587:0.159956:0.000000:0.000000
p:@0.699824:0.246281:0.711304:0.246281:0.711304:0.236257:0.699824:0.236257:0.000000
 :@0.711304:0.246989:0.714186:0.246989:0.714186:0.235513:0.711304:0.235513:0.000000
Figura 5.7.   = 3sen(2:@0.714186:0.246989:0.816952:0.246989:0.816952:0.235513:0.714186:0.235513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.765636:0.247070:0.770983:0.247070:0.770983:0.235613:0.765636:0.235613:0.000000
x –:@0.816952:0.247070:0.832015:0.247070:0.832015:0.235613:0.816952:0.235613:0.000000:0.000000:0.000000
 π/3):@0.832015:0.246989:0.856581:0.246989:0.856581:0.235513:0.832015:0.235513:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.665513:0.109545:0.671424:0.109545:0.671424:0.098068:0.665513:0.098068:0.000000
3:@0.665513:0.091249:0.671424:0.091249:0.671424:0.079772:0.665513:0.079772:0.000000
1:@0.665513:0.136280:0.671424:0.136280:0.671424:0.124803:0.665513:0.124803:0.000000
0:@0.668864:0.156719:0.674774:0.156719:0.674774:0.145242:0.668864:0.145242:0.000000
–1:@0.658209:0.189730:0.671424:0.189730:0.671424:0.178254:0.658209:0.178254:0.000000:0.000000
–2:@0.658209:0.216456:0.671424:0.216456:0.671424:0.204979:0.658209:0.204979:0.000000:0.000000
π:@0.734999:0.172190:0.742236:0.172190:0.742236:0.160713:0.734999:0.160713:0.000000
–π:@0.609275:0.172190:0.623817:0.172190:0.623817:0.160713:0.609275:0.160713:0.000000:0.000000
–2π:@0.550307:0.172190:0.570758:0.172190:0.570758:0.160713:0.550307:0.160713:0.000000:0.000000:0.000000
–3π:@0.500653:0.172190:0.521104:0.172190:0.521104:0.160713:0.500653:0.160713:0.000000:0.000000:0.000000
2π:@0.791394:0.172190:0.804541:0.172190:0.804541:0.160713:0.791394:0.160713:0.000000:0.000000
3π:@0.842375:0.172190:0.855522:0.172190:0.855522:0.160713:0.842375:0.160713:0.000000:0.000000
Interdisciplinariedad:@0.684804:0.320542:0.831589:0.320542:0.831589:0.305070:0.684804:0.305070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Física:@0.685042:0.349592:0.823260:0.349592:0.823260:0.334120:0.685042:0.334120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La relación de la trigonometría :@0.638498:0.365011:0.840008:0.365011:0.840008:0.349948:0.638498:0.349948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y en particular de las funcio-:@0.638498:0.380853:0.821853:0.380853:0.821853:0.365790:0.638498:0.365790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nes trigonométricas con otras :@0.638498:0.396695:0.835733:0.396695:0.835733:0.381632:0.638498:0.381632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencias permite resolver varios :@0.638498:0.412537:0.843137:0.412537:0.843137:0.397474:0.638498:0.397474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas en áreas como  :@0.638498:0.428379:0.812585:0.428379:0.812585:0.413316:0.638498:0.413316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las que se citan a  :@0.638498:0.444221:0.754960:0.444221:0.754960:0.429158:0.638498:0.429158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación.:@0.638498:0.460063:0.727258:0.460063:0.727258:0.445000:0.638498:0.445000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.483681:0.645587:0.483681:0.645587:0.467984:0.638498:0.467984:0.000000
  En física, per-:@0.645586:0.483034:0.739411:0.483034:0.739411:0.467971:0.645586:0.467971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mite resolver :@0.655120:0.498876:0.742752:0.498876:0.742752:0.483813:0.655120:0.483813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas :@0.655120:0.514718:0.727573:0.514718:0.727573:0.499655:0.655120:0.499655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de mecánica :@0.655120:0.530560:0.741450:0.530560:0.741450:0.515497:0.655120:0.515497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clásica, óptica, :@0.655120:0.546402:0.751283:0.546402:0.751283:0.531339:0.655120:0.531339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vibraciones y :@0.655120:0.562244:0.743174:0.562244:0.743174:0.547181:0.655120:0.547181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ondas en :@0.655120:0.578086:0.718180:0.578086:0.718180:0.563023:0.655120:0.563023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sólidos y fluidos, electricidad :@0.655120:0.593928:0.844436:0.593928:0.844436:0.578865:0.655120:0.578865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y electromagnetismos. :@0.655120:0.609770:0.803875:0.609770:0.803875:0.594707:0.655120:0.594707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.633388:0.645586:0.633388:0.645586:0.617691:0.638498:0.617691:0.000000
  En informática, sirve en la :@0.645586:0.632741:0.823895:0.632741:0.823895:0.617678:0.645586:0.617678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
construcción de juegos com-:@0.655120:0.648583:0.843492:0.648583:0.843492:0.633520:0.655120:0.633520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
putarizados, para simular :@0.655120:0.664425:0.821291:0.664425:0.821291:0.649362:0.655120:0.649362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
procesos naturales o físicos.:@0.655120:0.680267:0.832899:0.680267:0.832899:0.665204:0.655120:0.665204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.703885:0.645586:0.703885:0.645586:0.688188:0.638498:0.688188:0.000000
  La teoría de la señal, en el :@0.645586:0.703238:0.822507:0.703238:0.822507:0.688175:0.645586:0.688175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
procesamiento digital de :@0.655120:0.719080:0.819812:0.719080:0.819812:0.704017:0.655120:0.704017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imágenes, tiene como funda-:@0.655120:0.734922:0.843720:0.734922:0.843720:0.719859:0.655120:0.719859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mento las series :@0.655120:0.750764:0.761573:0.750764:0.761573:0.735701:0.655120:0.735701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de Fourier que :@0.655120:0.766606:0.753446:0.766606:0.753446:0.751543:0.655120:0.751543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se expresan :@0.655120:0.782448:0.733695:0.782448:0.733695:0.767385:0.655120:0.767385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como senos :@0.655120:0.798290:0.737246:0.798290:0.737246:0.783227:0.655120:0.783227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cosenos. :@0.655120:0.814132:0.724775:0.814132:0.724775:0.799069:0.655120:0.799069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una de estas :@0.655120:0.829974:0.741731:0.829974:0.741731:0.814911:0.655120:0.814911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones se :@0.655120:0.845816:0.754942:0.845816:0.754942:0.830753:0.655120:0.830753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
da en la música.:@0.655120:0.861658:0.758266:0.861658:0.758266:0.846595:0.655120:0.846595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga escribe:@0.638498:0.888735:0.765599:0.888735:0.765599:0.873262:0.638498:0.873262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.701100:0.888312:0.715806:0.888312:0.715806:0.873249:0.701100:0.873249:0.000000:0.000000:0.000000
 otra aplica-:@0.765603:0.888312:0.842366:0.888312:0.842366:0.873249:0.765603:0.873249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción de las funciones trigo-:@0.638498:0.904154:0.813288:0.904154:0.813288:0.889091:0.638498:0.889091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nométricas en las ciencias.:@0.638498:0.919996:0.808276:0.919996:0.808276:0.904933:0.638498:0.904933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 607078130:@0.871730:0.444958:0.871730:0.376784:0.860262:0.376784:0.860262:0.444958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 601019018:@0.871730:0.746129:0.871730:0.677956:0.860262:0.677956:0.860262:0.746129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Engranajes.:@0.782073:0.571217:0.836445:0.571217:0.836445:0.559740:0.782073:0.559740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.836445:0.571217:0.839326:0.571217:0.839326:0.559740:0.836445:0.559740:0.000000
p:@0.839326:0.570509:0.850807:0.570509:0.850807:0.560485:0.839326:0.560485:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000