﻿47:@0.943272:0.974518:0.962770:0.974518:0.962770:0.957377:0.943272:0.957377:0.000000:0.000000
Pensamiento espacial, numérico y variacional:@0.525225:0.043660:0.930049:0.043660:0.930049:0.024915:0.525225:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El dominio de la función  , es definida como::@0.073089:0.567475:0.393467:0.567475:0.393467:0.551763:0.073089:0.551763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.253314:0.567475:0.258008:0.567475:0.258008:0.552040:0.253314:0.552040:0.000000
5 :@0.094881:0.592589:0.114816:0.592589:0.114816:0.578874:0.094881:0.578874:0.000000:0.000000
p:@0.205427:0.584664:0.217705:0.584664:0.217705:0.570949:0.205427:0.570949:0.000000
3:@0.207692:0.598935:0.216674:0.598935:0.216674:0.583222:0.207692:0.583222:0.000000
3sen 2:@0.128807:0.591708:0.180374:0.591861:0.180374:0.576148:0.128807:0.575995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.168628:0.592807:0.173086:0.592807:0.173086:0.573548:0.168628:0.573548:0.000000
2:@0.110083:0.592936:0.126810:0.592936:0.126810:0.577973:0.110083:0.577973:0.000000
x:@0.180374:0.591861:0.187828:0.591861:0.187828:0.576425:0.180374:0.576425:0.000000
2:@0.187828:0.591571:0.204556:0.591571:0.204556:0.576608:0.187828:0.576608:0.000000
2:@0.218913:0.593322:0.223371:0.593322:0.223371:0.574063:0.218913:0.574063:0.000000
f x:@0.073089:0.592570:0.090115:0.592570:0.090115:0.577135:0.073089:0.577135:0.000000:0.000000:0.000000
( ):@0.077782:0.592570:0.094993:0.592570:0.094993:0.576858:0.077782:0.576858:0.000000:0.000000:0.000000
,   :@0.223954:0.592408:0.239029:0.592408:0.239029:0.576695:0.223954:0.576695:0.000000:0.000000:0.000000:0.000000
;:@0.238919:0.591853:0.251196:0.591853:0.251196:0.578137:0.238919:0.578137:0.000000
x:@0.251104:0.592408:0.258559:0.592408:0.258559:0.576972:0.251104:0.576972:0.000000
    .:@0.258486:0.592408:0.298043:0.592408:0.298043:0.576695:0.258486:0.576695:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.262443:0.592269:0.277776:0.592269:0.277776:0.578221:0.262443:0.578221:0.000000
R:@0.281642:0.591548:0.294932:0.591548:0.294932:0.578650:0.281642:0.578650:0.000000
El recorrido es :@0.073088:0.616192:0.179261:0.616192:0.179261:0.600479:0.073088:0.600479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.179095:0.616774:0.183181:0.616774:0.183181:0.599120:0.179095:0.599120:0.000000
2:@0.183089:0.615637:0.198423:0.615637:0.198423:0.601921:0.183089:0.601921:0.000000
3, 3 , el período es  , la amplitud es 3, la gráfica de la función se :@0.198331:0.616192:0.659664:0.616192:0.659664:0.600479:0.198331:0.600479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.223199:0.616774:0.227285:0.616774:0.227285:0.599120:0.223199:0.599120:0.000000
p:@0.331949:0.615637:0.344227:0.615637:0.344227:0.601921:0.331949:0.601921:0.000000
refleja sobre el eje de las  , y tiene un desplazamiento horizontal hacia la derecha de :@0.073088:0.632833:0.684844:0.632833:0.684844:0.617121:0.073088:0.617121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.252779:0.632833:0.260234:0.632833:0.260234:0.617398:0.252779:0.617398:0.000000
p:@0.073069:0.648921:0.085347:0.648921:0.085347:0.635205:0.073069:0.635205:0.000000
/6 unidades.:@0.085255:0.649475:0.174578:0.649475:0.174578:0.633763:0.085255:0.633763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.073069:0.673259:0.201648:0.673259:0.201648:0.656590:0.073069:0.656590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Grafiquemos la función  , definida como::@0.073069:0.698832:0.366647:0.698832:0.366647:0.683120:0.073069:0.683120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.246097:0.698832:0.250791:0.698832:0.250791:0.683397:0.246097:0.683397:0.000000
f x:@0.073051:0.722616:0.089930:0.722616:0.089930:0.707181:0.073051:0.707181:0.000000:0.000000:0.000000
( )   2Cos(2 )   1,      :@0.077671:0.722616:0.238366:0.722616:0.238366:0.706904:0.077671:0.706904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.098600:0.722061:0.113933:0.722061:0.113933:0.708346:0.098600:0.708346:0.000000
x:@0.167186:0.722616:0.174640:0.722616:0.174640:0.707181:0.167186:0.707181:0.000000
1:@0.183310:0.722061:0.198644:0.722061:0.198644:0.708346:0.183310:0.708346:0.000000
;:@0.238238:0.722061:0.250515:0.722061:0.250515:0.708346:0.238238:0.708346:0.000000
x:@0.250423:0.722616:0.257878:0.722616:0.257878:0.707181:0.250423:0.707181:0.000000
    .:@0.257804:0.722616:0.297362:0.722616:0.297362:0.706904:0.257804:0.706904:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.261762:0.722477:0.277095:0.722477:0.277095:0.708429:0.261762:0.708429:0.000000
R:@0.280961:0.721756:0.294251:0.721756:0.294251:0.708859:0.280961:0.708859:0.000000
Figura 5.9.      3Sen(2:@0.387714:0.870249:0.514463:0.870249:0.514463:0.858822:0.387714:0.858822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.444302:0.870249:0.449737:0.870249:0.449737:0.859024:0.444302:0.859024:0.000000
5 2:@0.452669:0.869846:0.477903:0.869846:0.477903:0.859871:0.452669:0.859871:0.000000:0.000000:0.000000
x :@0.514463:0.870249:0.522295:0.870249:0.522295:0.859024:0.514463:0.859024:0.000000:0.000000
2 p:@0.522295:0.869846:0.545307:0.869846:0.545307:0.859871:0.522295:0.859871:0.000000:0.000000:0.000000
  /3):@0.533446:0.870249:0.560087:0.870249:0.560087:0.858822:0.533446:0.858822:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.223771:0.786395:0.230304:0.786395:0.230304:0.774967:0.223771:0.774967:0.000000
4:@0.223771:0.739576:0.230304:0.739576:0.230304:0.728148:0.223771:0.728148:0.000000
0:@0.223771:0.827666:0.230304:0.827666:0.230304:0.816239:0.223771:0.816239:0.000000
2p:@0.073203:0.841578:0.093284:0.841578:0.093284:0.831603:0.073203:0.831603:0.000000:0.000000
2:@0.142869:0.844634:0.154021:0.844634:0.154021:0.834659:0.142869:0.834659:0.000000
p:@0.390450:0.841578:0.399380:0.841578:0.399380:0.831603:0.390450:0.831603:0.000000
2:@0.544188:0.842485:0.550721:0.842485:0.550721:0.831058:0.544188:0.831058:0.000000
p:@0.550721:0.842082:0.559650:0.842082:0.559650:0.832107:0.550721:0.832107:0.000000
p:@0.312605:0.839869:0.321628:0.839869:0.321628:0.829788:0.312605:0.829788:0.000000
2:@0.313822:0.850989:0.320424:0.850989:0.320424:0.839441:0.313822:0.839441:0.000000
p:@0.154804:0.839869:0.163828:0.839869:0.163828:0.829788:0.154804:0.829788:0.000000
2:@0.156022:0.850989:0.162624:0.850989:0.162624:0.839441:0.156022:0.839441:0.000000
3:@0.467135:0.840277:0.473737:0.840277:0.473737:0.828728:0.467135:0.828728:0.000000
p:@0.473737:0.839869:0.482761:0.839869:0.482761:0.829788:0.473737:0.829788:0.000000
2:@0.470977:0.851381:0.477510:0.851381:0.477510:0.839954:0.470977:0.839954:0.000000
El dominio de esta función es  .:@0.073089:0.898860:0.306724:0.898860:0.306724:0.883147:0.073089:0.883147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.290323:0.898000:0.303613:0.898000:0.303613:0.885103:0.290323:0.885103:0.000000
El recorrido es :@0.073081:0.922644:0.179254:0.922644:0.179254:0.906931:0.073081:0.906931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.179088:0.923227:0.183175:0.923227:0.183175:0.905572:0.179088:0.905572:0.000000
2:@0.183083:0.922089:0.198416:0.922089:0.198416:0.908374:0.183083:0.908374:0.000000
1, 3 , el período es  , la amplitud es 2, y la gráfica de la función se :@0.198324:0.922644:0.671641:0.922644:0.671641:0.906931:0.198324:0.906931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G:@0.223192:0.923227:0.227279:0.923227:0.227279:0.905572:0.223192:0.905572:0.000000
p:@0.331942:0.922089:0.344220:0.922089:0.344220:0.908374:0.331942:0.908374:0.000000
desplazó una unidad hacia arriba del eje de las  .:@0.073081:0.939286:0.424420:0.939286:0.424420:0.923573:0.073081:0.923573:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413836:0.939286:0.421291:0.939286:0.421291:0.923851:0.413836:0.923851:0.000000
DBA 4 (Ev. 2) Explora, en una situación o fenómeno de variación periódica, valores, condiciones, relaciones o comportamientos, a través de diferentes representaciones. :@0.084383:0.966323:0.910105:0.966323:0.910105:0.954896:0.084383:0.954896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 4 (Ev. 5) Modela fenómenos periódicos a través de funciones trigonométricas:@0.084383:0.976409:0.515997:0.976409:0.515997:0.964982:0.084383:0.964982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 5.6.     Sen(2     /3):@0.274613:0.289223:0.429823:0.289223:0.429823:0.277795:0.274613:0.277795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.331201:0.289223:0.336636:0.289223:0.336636:0.277997:0.331201:0.277997:0.000000
5:@0.339567:0.288819:0.350719:0.288819:0.350719:0.278844:0.339567:0.278844:0.000000
x:@0.383678:0.289223:0.389100:0.289223:0.389100:0.277997:0.383678:0.277997:0.000000
2 p:@0.392031:0.288819:0.415044:0.288819:0.415044:0.278844:0.392031:0.278844:0.000000:0.000000:0.000000
2:@0.238770:0.150643:0.245303:0.150643:0.245303:0.139215:0.238770:0.139215:0.000000
1:@0.238770:0.177441:0.245303:0.177441:0.245303:0.166014:0.238770:0.166014:0.000000
0:@0.242116:0.197936:0.248649:0.197936:0.248649:0.186508:0.242116:0.186508:0.000000
2:@0.231273:0.230634:0.242424:0.230634:0.242424:0.220659:0.231273:0.220659:0.000000
1:@0.242424:0.231038:0.248957:0.231038:0.248957:0.219610:0.242424:0.219610:0.000000
2:@0.231273:0.257433:0.242424:0.257433:0.242424:0.247458:0.231273:0.247458:0.000000
2:@0.242424:0.257836:0.248957:0.257836:0.248957:0.246409:0.242424:0.246409:0.000000
p:@0.307958:0.212550:0.316887:0.212550:0.316887:0.202575:0.307958:0.202575:0.000000
2p:@0.181409:0.212550:0.201490:0.212550:0.201490:0.202575:0.181409:0.202575:0.000000:0.000000
2 p:@0.122814:0.213055:0.149428:0.213055:0.149428:0.203080:0.122814:0.203080:0.000000:0.000000:0.000000
2:@0.133965:0.213458:0.140498:0.213458:0.140498:0.202031:0.133965:0.202031:0.000000
2 p:@0.073509:0.213055:0.100123:0.213055:0.100123:0.203080:0.073509:0.203080:0.000000:0.000000:0.000000
3:@0.084661:0.213458:0.091194:0.213458:0.091194:0.202031:0.084661:0.202031:0.000000
2:@0.363983:0.213458:0.370515:0.213458:0.370515:0.202031:0.363983:0.202031:0.000000
p:@0.370515:0.213055:0.379445:0.213055:0.379445:0.203080:0.370515:0.203080:0.000000
3:@0.414907:0.213458:0.421440:0.213458:0.421440:0.202031:0.414907:0.202031:0.000000
p:@0.421440:0.213055:0.430369:0.213055:0.430369:0.203080:0.421440:0.203080:0.000000
Figura 5.7.     3Sen(2     /3):@0.658868:0.289221:0.820610:0.289221:0.820610:0.277794:0.658868:0.277794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.715454:0.289221:0.720889:0.289221:0.720889:0.277996:0.715454:0.277996:0.000000
5:@0.723821:0.288818:0.734972:0.288818:0.734972:0.278843:0.723821:0.278843:0.000000
x:@0.774464:0.289221:0.779886:0.289221:0.779886:0.277996:0.774464:0.277996:0.000000
2 p:@0.782818:0.288818:0.805830:0.288818:0.805830:0.278843:0.782818:0.278843:0.000000:0.000000:0.000000
2:@0.629126:0.151402:0.635659:0.151402:0.635659:0.139974:0.629126:0.139974:0.000000
3:@0.629126:0.133055:0.635659:0.133055:0.635659:0.121628:0.629126:0.121628:0.000000
1:@0.629126:0.178210:0.635659:0.178210:0.635659:0.166783:0.629126:0.166783:0.000000
0:@0.632472:0.198705:0.639005:0.198705:0.639005:0.187277:0.632472:0.187277:0.000000
2:@0.617974:0.231403:0.629126:0.231403:0.629126:0.221428:0.617974:0.221428:0.000000
1:@0.629126:0.231807:0.635659:0.231807:0.635659:0.220379:0.629126:0.220379:0.000000
2:@0.617974:0.258202:0.629126:0.258202:0.629126:0.248227:0.617974:0.248227:0.000000
2:@0.629126:0.258605:0.635659:0.258605:0.635659:0.247178:0.629126:0.247178:0.000000
p:@0.698313:0.213309:0.707243:0.213309:0.707243:0.203334:0.698313:0.203334:0.000000
2p:@0.570239:0.213309:0.590320:0.213309:0.590320:0.203334:0.570239:0.203334:0.000000:0.000000
2 p:@0.513036:0.213814:0.539650:0.213814:0.539650:0.203839:0.513036:0.203839:0.000000:0.000000:0.000000
2:@0.524188:0.214217:0.530720:0.214217:0.530720:0.202790:0.524188:0.202790:0.000000
2 p:@0.463798:0.213814:0.490412:0.213814:0.490412:0.203839:0.463798:0.203839:0.000000:0.000000:0.000000
3:@0.474950:0.214217:0.481483:0.214217:0.481483:0.202790:0.474950:0.202790:0.000000
2:@0.754325:0.214217:0.760858:0.214217:0.760858:0.202790:0.754325:0.202790:0.000000
p:@0.760858:0.213814:0.769787:0.213814:0.769787:0.203839:0.760858:0.203839:0.000000
3:@0.805250:0.214217:0.811782:0.214217:0.811782:0.202790:0.805250:0.202790:0.000000
p:@0.811782:0.213814:0.820712:0.213814:0.820712:0.203839:0.811782:0.203839:0.000000
Figura 5.8.      3Sen(2:@0.387714:0.537795:0.514463:0.537795:0.514463:0.526367:0.387714:0.526367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.444302:0.537795:0.449737:0.537795:0.449737:0.526569:0.444302:0.526569:0.000000
5 2:@0.452669:0.537391:0.477903:0.537391:0.477903:0.527416:0.452669:0.527416:0.000000:0.000000:0.000000
x :@0.514463:0.537795:0.522295:0.537795:0.522295:0.526569:0.514463:0.526569:0.000000:0.000000
2 p:@0.522295:0.537391:0.545307:0.537391:0.545307:0.527416:0.522295:0.527416:0.000000:0.000000:0.000000
  /3):@0.533446:0.537795:0.560087:0.537795:0.560087:0.526367:0.533446:0.526367:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.291664:0.455481:0.302815:0.455481:0.302815:0.445506:0.291664:0.445506:0.000000
1:@0.302815:0.455884:0.309348:0.455884:0.309348:0.444457:0.302815:0.444457:0.000000
2:@0.291664:0.491215:0.302815:0.491215:0.302815:0.481240:0.291664:0.481240:0.000000
2:@0.302815:0.491619:0.309348:0.491619:0.309348:0.480191:0.302815:0.480191:0.000000
2:@0.291664:0.523470:0.302815:0.523470:0.302815:0.513495:0.291664:0.513495:0.000000
3:@0.302815:0.523874:0.309348:0.523874:0.309348:0.512446:0.302815:0.512446:0.000000
1:@0.302815:0.384405:0.309348:0.384405:0.309348:0.372978:0.302815:0.372978:0.000000
2:@0.302815:0.348670:0.309348:0.348670:0.309348:0.337243:0.302815:0.337243:0.000000
3:@0.302815:0.312936:0.309348:0.312936:0.309348:0.301508:0.302815:0.301508:0.000000
0:@0.306162:0.413846:0.312695:0.413846:0.312695:0.402418:0.306162:0.402418:0.000000
2p:@0.224789:0.428454:0.244869:0.428454:0.244869:0.418479:0.224789:0.418479:0.000000:0.000000
2 p:@0.141601:0.428958:0.168215:0.428958:0.168215:0.418983:0.141601:0.418983:0.000000:0.000000:0.000000
2:@0.152753:0.429362:0.159285:0.429362:0.159285:0.417934:0.152753:0.417934:0.000000
2 p:@0.073086:0.428958:0.099700:0.428958:0.099700:0.418983:0.073086:0.418983:0.000000:0.000000:0.000000
3:@0.084237:0.429362:0.090770:0.429362:0.090770:0.417934:0.084237:0.417934:0.000000
p:@0.394416:0.428454:0.403346:0.428454:0.403346:0.418479:0.394416:0.418479:0.000000
2:@0.472731:0.429362:0.479264:0.429362:0.479264:0.417934:0.472731:0.417934:0.000000
p:@0.479264:0.428958:0.488193:0.428958:0.488193:0.418983:0.479264:0.418983:0.000000
3:@0.545463:0.429362:0.551996:0.429362:0.551996:0.417934:0.545463:0.417934:0.000000
p:@0.551996:0.428958:0.560925:0.428958:0.560925:0.418983:0.551996:0.418983:0.000000
La relación de la :@0.744288:0.382240:0.852834:0.382240:0.852834:0.367956:0.744288:0.367956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonometría y, en :@0.744288:0.397369:0.872081:0.397369:0.872081:0.383085:0.744288:0.383085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
particular, de las funciones :@0.744288:0.412498:0.920367:0.412498:0.920367:0.398214:0.744288:0.398214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trigonométricas con otras :@0.744288:0.427627:0.916282:0.427627:0.916282:0.413343:0.744288:0.413343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciencias, permite resolver :@0.744288:0.442756:0.911906:0.442756:0.911906:0.428472:0.744288:0.428472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios problemas en áreas :@0.744288:0.457885:0.916900:0.457885:0.916900:0.443601:0.744288:0.443601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como las que se citan a :@0.744288:0.473014:0.900047:0.473014:0.900047:0.458730:0.744288:0.458730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
continuación::@0.744288:0.488143:0.833680:0.488143:0.833680:0.473859:0.744288:0.473859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  En física, permite :@0.744288:0.503272:0.872096:0.503272:0.872096:0.488988:0.744288:0.488988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver problemas de :@0.765212:0.518401:0.913780:0.518401:0.913780:0.504116:0.765212:0.504116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mecánica clásica, :@0.780273:0.533530:0.895920:0.533530:0.895920:0.519245:0.780273:0.519245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
óptica, vibraciones :@0.788640:0.548659:0.914060:0.548659:0.914060:0.534374:0.788640:0.534374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ondas en :@0.788640:0.563788:0.863540:0.563788:0.863540:0.549503:0.788640:0.549503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sólidos y fluidos, :@0.788640:0.578916:0.898158:0.578916:0.898158:0.564632:0.788640:0.564632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electricidad y :@0.781946:0.594045:0.872580:0.594045:0.872580:0.579761:0.781946:0.579761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electromagnetismos. :@0.766886:0.609174:0.907912:0.609174:0.907912:0.594890:0.766886:0.594890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  En informática, sirve :@0.744288:0.624303:0.892473:0.624303:0.892473:0.610019:0.744288:0.610019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la construcción de :@0.758519:0.639432:0.902480:0.639432:0.902480:0.625148:0.758519:0.625148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
juegos computarizados, :@0.758519:0.654561:0.918330:0.654561:0.918330:0.640277:0.758519:0.640277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para simular procesos :@0.758519:0.669690:0.904130:0.669690:0.904130:0.655406:0.758519:0.655406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales o físicos.:@0.758519:0.684819:0.875900:0.684819:0.875900:0.670535:0.758519:0.670535:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  La teoría de la señal, :@0.744288:0.699948:0.892547:0.699948:0.892547:0.685664:0.744288:0.685664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el procesamiento :@0.770232:0.715077:0.907821:0.715077:0.907821:0.700793:0.770232:0.700793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital de imágenes, :@0.783619:0.730206:0.918416:0.730206:0.918416:0.715922:0.783619:0.715922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene como :@0.788640:0.745335:0.867456:0.745335:0.867456:0.731051:0.788640:0.731051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fundamento las :@0.788640:0.760464:0.895094:0.760464:0.895094:0.746180:0.788640:0.746180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
series de Fourier :@0.786966:0.775593:0.896570:0.775593:0.896570:0.761308:0.786966:0.761308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se expresan :@0.778599:0.790722:0.888117:0.790722:0.888117:0.776437:0.778599:0.776437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como senos y :@0.758519:0.805851:0.852663:0.805851:0.852663:0.791566:0.758519:0.791566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cosenos. Una de estas :@0.758519:0.820980:0.905352:0.820980:0.905352:0.806695:0.758519:0.806695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aplicaciones se da en la :@0.758519:0.836108:0.914796:0.836108:0.914796:0.821824:0.758519:0.821824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
música.:@0.758519:0.851237:0.807917:0.851237:0.807917:0.836953:0.758519:0.836953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Investiga escribe:@0.744295:0.866366:0.869091:0.866366:0.869091:0.851212:0.744295:0.851212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.805909:0.866366:0.820300:0.866366:0.820300:0.852082:0.805909:0.852082:0.000000:0.000000:0.000000
 :@0.869079:0.866366:0.872744:0.866366:0.872744:0.852082:0.869079:0.852082:0.000000
otra aplicación de las :@0.744312:0.881495:0.884792:0.881495:0.884792:0.867211:0.744312:0.867211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
funciones trigonométricas :@0.744312:0.896624:0.919887:0.896624:0.919887:0.882340:0.744312:0.882340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en las ciencias.:@0.744312:0.911753:0.839420:0.911753:0.839420:0.897469:0.744312:0.897469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad :@0.740312:0.321346:0.891391:0.321346:0.891391:0.305940:0.740312:0.305940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática  :@0.740312:0.336475:0.825805:0.336475:0.825805:0.322191:0.740312:0.322191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y física:@0.740312:0.351604:0.783552:0.351604:0.783552:0.337320:0.740312:0.337320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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