164:@0.053974:0.966765:0.079386:0.966765:0.079386:0.950778:0.053974:0.950778:0.000000:0.000000:0.000000
Proyecto interdisciplinario:@0.305828:0.081278:0.799680:0.081278:0.799680:0.014289:0.305828:0.014289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Áreas asociadas: Matemática, Ingeniería Civil, TIC:@0.387119:0.096224:0.718406:0.096224:0.718406:0.081488:0.387119:0.081488:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema: Cálculo de :@0.143847:0.139533:0.332925:0.139533:0.332925:0.100828:0.143847:0.100828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la resistencia de :@0.143847:0.172223:0.323865:0.172223:0.323865:0.133518:0.143847:0.133518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una viga y cálculo :@0.143847:0.204912:0.343465:0.204912:0.343465:0.166208:0.143847:0.166208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diferencial:@0.143847:0.237602:0.257398:0.237602:0.257398:0.198897:0.143847:0.198897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Justificación:@0.404235:0.124058:0.502696:0.124058:0.502696:0.106375:0.404235:0.106375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El estudio del cálculo diferencial es muy útil en Ingeniería Civil y en :@0.404235:0.140766:0.895932:0.140766:0.895932:0.124268:0.404235:0.124268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otras áreas. El cálculo de máximos y mínimos a través de la derivada :@0.404235:0.158116:0.895957:0.158116:0.895957:0.141619:0.404235:0.141619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permite conocer las dimensiones de una viga que debe soportar un :@0.404235:0.175467:0.895901:0.175467:0.895901:0.158969:0.404235:0.158969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinado peso.:@0.404235:0.192818:0.537683:0.192818:0.537683:0.176320:0.404235:0.176320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Objetivos:@0.404235:0.226654:0.481490:0.226654:0.481490:0.208971:0.404235:0.208971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular la máxima resistencia de una viga de madera, en función de :@0.404235:0.255431:0.895919:0.255431:0.895919:0.238934:0.404235:0.238934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus dimensiones (espesor, ancho, largo).:@0.404235:0.272782:0.684484:0.272782:0.684484:0.256284:0.404235:0.256284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividades:@0.404235:0.306618:0.498575:0.306618:0.498575:0.288935:0.404235:0.288935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.336104:0.411998:0.336104:0.411998:0.318913:0.404235:0.318913:0.000000
 :@0.411998:0.335396:0.416140:0.335396:0.416140:0.318898:0.411998:0.318898:0.000000
Formen:@0.427969:0.335858:0.485341:0.335858:0.485341:0.318913:0.427969:0.318913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 equipos de trabajo, con no más de tres estudiantes por grupo.:@0.484860:0.335396:0.891694:0.335396:0.891694:0.318898:0.484860:0.318898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.353455:0.411998:0.353455:0.411998:0.336263:0.404235:0.336263:0.000000
 :@0.411998:0.352746:0.416140:0.352746:0.416140:0.336249:0.411998:0.336249:0.000000
Consulten:@0.427969:0.353209:0.506687:0.353209:0.506687:0.336263:0.427969:0.336263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el concepto de viga —a partir del conocimiento que :@0.506687:0.352746:0.895957:0.352746:0.895957:0.336249:0.506687:0.336249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se tiene en Ingeniería y Arquitectura— como un elemento estruc-:@0.427969:0.370097:0.891761:0.370097:0.891761:0.353600:0.427969:0.353600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tural lineal que trabaja principalmente a flexión. :@0.427969:0.387448:0.769153:0.387448:0.769153:0.370950:0.427969:0.370950:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.405507:0.411998:0.405507:0.411998:0.388316:0.404235:0.388316:0.000000
 :@0.411998:0.404799:0.416140:0.404799:0.416140:0.388301:0.411998:0.388301:0.000000
Revisen:@0.427969:0.405261:0.486245:0.405261:0.486245:0.388316:0.427969:0.388316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los elementos y ecuaciones de la elipse.:@0.486247:0.404799:0.767494:0.404799:0.767494:0.388301:0.486247:0.388301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.404235:0.422858:0.411998:0.422858:0.411998:0.405666:0.404235:0.405666:0.000000
 :@0.411998:0.422149:0.416140:0.422149:0.416140:0.405652:0.411998:0.405652:0.000000
Calculen:@0.427969:0.422612:0.495012:0.422612:0.495012:0.405666:0.427969:0.405666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la resistencia de una viga de madera, conociendo que :@0.495012:0.422149:0.895959:0.422149:0.895959:0.405652:0.495012:0.405652:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está determinada por la relación directamente proporcional entre :@0.427969:0.439500:0.895901:0.439500:0.895901:0.423003:0.427969:0.423003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su ancho y el cuadrado del espesor. :@0.427969:0.456851:0.682999:0.456851:0.682999:0.440353:0.427969:0.440353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Apliquen:@0.683192:0.457314:0.754182:0.457314:0.754182:0.440368:0.683192:0.440368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cálculo de máxi-:@0.754169:0.456851:0.891757:0.456851:0.891757:0.440353:0.754169:0.440353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mos y mínimos a partir de la primera derivada.:@0.427969:0.474202:0.758519:0.474202:0.758519:0.457704:0.427969:0.457704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404235:0.491553:0.408377:0.491553:0.408377:0.475055:0.404235:0.475055:0.000000
Tomen:@0.427969:0.492015:0.480313:0.492015:0.480313:0.475069:0.427969:0.475069:0.000000:0.000000:0.000000:0.000000:0.000000
 en cuenta que la viga puede cortarse de un tronco cuya :@0.480120:0.491553:0.895813:0.491553:0.895813:0.475055:0.480120:0.475055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sección transversal es una elipse de semiejes   (mayor) y   (menor).:@0.427969:0.508903:0.891750:0.508903:0.891750:0.492406:0.427969:0.492406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.733767:0.509019:0.742744:0.509019:0.742744:0.492550:0.733767:0.492550:0.000000
b:@0.817705:0.509019:0.826972:0.509019:0.826972:0.492550:0.817705:0.492550:0.000000
1.:@0.427950:0.538544:0.440222:0.538544:0.440222:0.521830:0.427950:0.521830:0.000000:0.000000
        +       = 1.:@0.440222:0.538327:0.542540:0.538327:0.542540:0.521830:0.440222:0.521830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.427950:0.563023:0.440222:0.563023:0.440222:0.546309:0.427950:0.546309:0.000000:0.000000
  R = (2 )(2 )  = 8:@0.440222:0.562806:0.565649:0.562804:0.565649:0.546306:0.440222:0.546309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.493394:0.562922:0.500869:0.562922:0.500869:0.546453:0.493394:0.546453:0.000000
x:@0.521271:0.562922:0.528746:0.562922:0.528746:0.546453:0.521271:0.546453:0.000000
2:@0.534726:0.556451:0.539679:0.556451:0.539679:0.546833:0.534726:0.546833:0.000000
xy:@0.565649:0.562919:0.581003:0.562919:0.581003:0.546451:0.565649:0.546451:0.000000:0.000000
2:@0.580996:0.556451:0.585949:0.556451:0.585949:0.546833:0.580996:0.546833:0.000000
, siendo   resistencia, 2  ancho de la viga ( ), :@0.585948:0.562804:0.895926:0.562804:0.895926:0.546306:0.585948:0.546306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.642376:0.562919:0.651951:0.562919:0.651951:0.546451:0.642376:0.546451:0.000000
x:@0.742767:0.562919:0.750242:0.562919:0.750242:0.546451:0.742767:0.546451:0.000000
a:@0.874811:0.563021:0.883076:0.563021:0.883076:0.546306:0.874811:0.546306:0.000000
2  espesor de la viga ( ).:@0.451707:0.580155:0.624707:0.580155:0.624707:0.563657:0.451707:0.563657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.460203:0.580270:0.467890:0.580270:0.467890:0.563801:0.460203:0.563801:0.000000
b:@0.606271:0.580371:0.616000:0.580371:0.616000:0.563657:0.606271:0.563657:0.000000
3.:@0.427973:0.597722:0.440245:0.597722:0.440245:0.581008:0.427973:0.581008:0.000000:0.000000
 :@0.440245:0.597505:0.444387:0.597505:0.444387:0.581008:0.440245:0.581008:0.000000
b x:@0.451707:0.597621:0.473415:0.597621:0.473415:0.581152:0.451707:0.581152:0.000000:0.000000:0.000000
2 2:@0.460987:0.591152:0.478368:0.591152:0.478368:0.581534:0.460987:0.581534:0.000000:0.000000:0.000000
 + :@0.478369:0.597505:0.497461:0.597505:0.497461:0.581008:0.478369:0.581008:0.000000:0.000000:0.000000
a y:@0.497461:0.597621:0.519076:0.597621:0.519076:0.581152:0.497461:0.581152:0.000000:0.000000:0.000000
2 2:@0.506438:0.591152:0.524030:0.591152:0.524030:0.581534:0.506438:0.581534:0.000000:0.000000:0.000000
 = :@0.524029:0.597505:0.543121:0.597505:0.543121:0.581008:0.524029:0.581008:0.000000:0.000000:0.000000
a b:@0.543121:0.597621:0.566318:0.597621:0.566318:0.581152:0.543121:0.581152:0.000000:0.000000:0.000000
2 2:@0.552098:0.591152:0.571270:0.591152:0.571270:0.581534:0.552098:0.581534:0.000000:0.000000:0.000000
.  :@0.571271:0.597505:0.582310:0.597505:0.582310:0.581008:0.571271:0.581008:0.000000:0.000000:0.000000
Multiplicamos:@0.582310:0.597968:0.694006:0.597968:0.694006:0.581022:0.582310:0.581022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la ecuación ( ) por :@0.694006:0.597505:0.836817:0.597505:0.836817:0.581008:0.694006:0.581008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.788367:0.597722:0.797287:0.597722:0.797287:0.581008:0.788367:0.581008:0.000000
a b:@0.836817:0.597621:0.860014:0.597621:0.860014:0.581152:0.836817:0.581152:0.000000:0.000000:0.000000
2 2:@0.845796:0.591152:0.864968:0.591152:0.864968:0.581534:0.845796:0.581534:0.000000:0.000000:0.000000
.:@0.864967:0.597505:0.867722:0.597505:0.867722:0.581008:0.864967:0.581008:0.000000
4.:@0.427973:0.622201:0.440245:0.622201:0.440245:0.605487:0.427973:0.605487:0.000000:0.000000
 :@0.440245:0.621984:0.444387:0.621984:0.444387:0.605487:0.440245:0.605487:0.000000
y:@0.451708:0.622100:0.459395:0.622100:0.459395:0.605631:0.451708:0.605631:0.000000
2:@0.459409:0.615631:0.464362:0.615631:0.464362:0.606013:0.459409:0.606013:0.000000
 =   –          .  :@0.464361:0.621984:0.564774:0.621984:0.564774:0.605486:0.464361:0.605486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.483452:0.622099:0.492719:0.622099:0.492719:0.605631:0.483452:0.605631:0.000000
2:@0.492719:0.615631:0.497672:0.615631:0.497672:0.606013:0.492719:0.606013:0.000000
Despejamos:@0.564774:0.622446:0.658056:0.622446:0.658056:0.605500:0.564774:0.605500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   de la ecuación ( ).:@0.658056:0.621984:0.808820:0.621984:0.808820:0.605486:0.658056:0.605486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.662198:0.622099:0.669885:0.622099:0.669885:0.605631:0.662198:0.605631:0.000000
2:@0.669881:0.615631:0.674834:0.615631:0.674834:0.606013:0.669881:0.606013:0.000000
4:@0.791193:0.622201:0.800113:0.622201:0.800113:0.605486:0.791193:0.605486:0.000000
 :@0.427968:0.653591:0.432110:0.653591:0.432110:0.637093:0.427968:0.637093:0.000000
R:@0.451702:0.653707:0.461277:0.653707:0.461277:0.637238:0.451702:0.637238:0.000000
 = 8:@0.461277:0.653591:0.488865:0.653591:0.488865:0.637093:0.461277:0.637093:0.000000:0.000000:0.000000:0.000000
xy:@0.488865:0.653707:0.504220:0.653707:0.504220:0.637238:0.488865:0.637238:0.000000:0.000000
2:@0.504238:0.647238:0.509191:0.647238:0.509191:0.637620:0.504238:0.637620:0.000000
 = 8    –            . :@0.509190:0.653590:0.637999:0.653590:0.637999:0.637092:0.509190:0.637092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  b:@0.536778:0.653705:0.561803:0.653705:0.561803:0.637237:0.536778:0.637237:0.000000:0.000000:0.000000:0.000000
2:@0.561803:0.647238:0.566756:0.647238:0.566756:0.637620:0.561803:0.637620:0.000000
Introducimos:@0.646418:0.654052:0.751048:0.654052:0.751048:0.637106:0.646418:0.637106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ecuación ( ) en :@0.751048:0.653590:0.870319:0.653590:0.870319:0.637092:0.751048:0.637092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.829611:0.653807:0.838531:0.653807:0.838531:0.637092:0.829611:0.637092:0.000000
 :@0.451723:0.670940:0.455865:0.670940:0.455865:0.654443:0.451723:0.654443:0.000000
ecuación ( ).:@0.646418:0.670940:0.738467:0.670940:0.738467:0.654443:0.646418:0.654443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.720840:0.671157:0.729760:0.671157:0.729760:0.654443:0.720840:0.654443:0.000000
5.:@0.427969:0.688508:0.440241:0.688508:0.440241:0.671794:0.427969:0.671794:0.000000:0.000000
   = 8  :@0.440241:0.688291:0.497151:0.688291:0.497151:0.671794:0.440241:0.671794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.451704:0.688407:0.461279:0.688407:0.461279:0.671938:0.451704:0.671938:0.000000
xb:@0.497151:0.688407:0.513854:0.688407:0.513854:0.671938:0.497151:0.671938:0.000000:0.000000
2:@0.513871:0.681939:0.518824:0.681939:0.518824:0.672321:0.513871:0.672321:0.000000
 –            . :@0.518823:0.688292:0.590065:0.688292:0.590065:0.671795:0.518823:0.671795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Introducimos :@0.594188:0.688755:0.702842:0.688755:0.702842:0.671809:0.594188:0.671809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la variable   dentro del  :@0.702842:0.688292:0.871007:0.688292:0.871007:0.671795:0.702842:0.671795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.777399:0.688408:0.784874:0.688408:0.784874:0.671939:0.777399:0.671939:0.000000
paréntesis.:@0.594188:0.705643:0.667760:0.705643:0.667760:0.689146:0.594188:0.689146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.:@0.427987:0.730339:0.440259:0.730339:0.440259:0.713625:0.427987:0.713625:0.000000:0.000000
 :@0.440259:0.730122:0.444401:0.730122:0.444401:0.713625:0.440259:0.713625:0.000000
      :@0.451722:0.730238:0.476574:0.730238:0.476574:0.713769:0.451722:0.713769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = 8    –              e :@0.475129:0.730122:0.608619:0.730122:0.608619:0.713624:0.475129:0.713625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.509556:0.730238:0.518823:0.730238:0.518823:0.713769:0.509556:0.713769:0.000000
2:@0.518821:0.723769:0.523774:0.723769:0.523774:0.714150:0.518821:0.714150:0.000000
igualamos:@0.608619:0.730584:0.687046:0.730584:0.687046:0.713638:0.608619:0.713638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a cero.:@0.687048:0.730122:0.736347:0.730122:0.736347:0.713624:0.687048:0.713624:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.427988:0.754601:0.432130:0.754601:0.432130:0.738103:0.427988:0.738103:0.000000
Despejamos:@0.451723:0.755063:0.543269:0.755063:0.543269:0.738117:0.451723:0.738117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   de esta ecuación:   =      ( ).:@0.543078:0.754601:0.748831:0.754601:0.748831:0.738103:0.543078:0.738103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.547028:0.754716:0.554503:0.754716:0.554503:0.738248:0.547028:0.738248:0.000000
x:@0.680572:0.754716:0.688047:0.754716:0.688047:0.738248:0.680572:0.738248:0.000000
c:@0.732071:0.754818:0.740123:0.754818:0.740123:0.738103:0.732071:0.738103:0.000000
7.:@0.427988:0.788203:0.440260:0.788203:0.440260:0.771489:0.427988:0.771489:0.000000:0.000000
 :@0.440260:0.787986:0.444402:0.787986:0.444402:0.771489:0.440260:0.771489:0.000000
Reemplazamos :@0.451723:0.788449:0.566482:0.788449:0.566482:0.771503:0.451723:0.771503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.565850:0.788102:0.586310:0.788102:0.586310:0.771633:0.565850:0.771633:0.000000:0.000000:0.000000
,   =   –      =          y :@0.572843:0.787986:0.722600:0.787989:0.722600:0.771491:0.572843:0.771489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.585814:0.781636:0.590767:0.781636:0.590767:0.772018:0.585814:0.772018:0.000000
b:@0.607825:0.788105:0.617091:0.788105:0.617091:0.771636:0.607825:0.771636:0.000000
2:@0.616596:0.781636:0.621549:0.781636:0.621549:0.772018:0.616596:0.772018:0.000000
b:@0.669663:0.788105:0.678929:0.788105:0.678929:0.771636:0.669663:0.771636:0.000000
2:@0.678396:0.781636:0.683349:0.781636:0.683349:0.772018:0.678396:0.772018:0.000000
obtenemos:@0.721965:0.788452:0.804362:0.788452:0.804362:0.771506:0.721965:0.771506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   =          ( ).:@0.803823:0.787989:0.891769:0.787989:0.891769:0.771491:0.803823:0.771491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y b:@0.807329:0.788105:0.841140:0.788105:0.841140:0.771636:0.807329:0.771636:0.000000:0.000000:0.000000
d:@0.874102:0.788206:0.884024:0.788206:0.884024:0.771491:0.874102:0.771491:0.000000
 :@0.404242:0.819596:0.408384:0.819596:0.408384:0.803098:0.404242:0.803098:0.000000
Resultados:@0.427977:0.820059:0.511796:0.820059:0.511796:0.803113:0.427977:0.803113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404242:0.836947:0.408384:0.836947:0.408384:0.820449:0.404242:0.820449:0.000000
Ancho de la viga::@0.427977:0.837308:0.554415:0.837308:0.554415:0.820536:0.427977:0.820536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2  = 2         .  :@0.554415:0.836947:0.650433:0.836947:0.650433:0.820449:0.554415:0.820449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.567053:0.837063:0.574528:0.837063:0.574528:0.820594:0.567053:0.820594:0.000000
Espesor de la viga::@0.650433:0.837164:0.783380:0.837164:0.783380:0.820449:0.650433:0.820449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2  = 2        . 3:@0.783380:0.836947:0.862248:0.838856:0.862248:0.822358:0.783380:0.820449:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.796018:0.837063:0.803705:0.837063:0.803705:0.820594:0.796018:0.820594:0.000000
b:@0.831293:0.837063:0.840560:0.837063:0.840560:0.820594:0.831293:0.820594:0.000000
Recomendación:@0.404235:0.873046:0.533373:0.873046:0.533373:0.855363:0.404235:0.855363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consulta más información sobre el uso de derivadas en el cálculo de :@0.404235:0.889754:0.895874:0.889754:0.895874:0.873256:0.404235:0.873256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resistencia de vigas de acero y de madera en estructuras.:@0.404235:0.907104:0.801692:0.907104:0.801692:0.890607:0.404235:0.890607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adaptado de: :@0.465890:0.932388:0.534508:0.932388:0.534508:0.920932:0.465890:0.920932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
http://es.slideshare.net/michaelpradomacias/proyecto-clculo-i-definitivo:@0.534508:0.932308:0.891771:0.932308:0.891771:0.920831:0.534508:0.920831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recursos:@0.153344:0.317103:0.224749:0.317103:0.224749:0.299420:0.153344:0.299420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153344:0.334519:0.161108:0.334519:0.161108:0.317327:0.153344:0.317327:0.000000
  Diseños de la sección :@0.161108:0.333810:0.327729:0.333810:0.327729:0.317313:0.161108:0.317313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transversal de un tronco :@0.172339:0.351161:0.348904:0.351161:0.348904:0.334663:0.172339:0.334663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de madera:@0.172339:0.368512:0.248379:0.368512:0.248379:0.352014:0.172339:0.352014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.456614:0.523565:0.464089:0.523565:0.464089:0.507096:0.456614:0.507096:0.000000
2:@0.464089:0.517097:0.469042:0.517097:0.469042:0.507479:0.464089:0.507479:0.000000
a:@0.455862:0.539910:0.464840:0.539910:0.464840:0.523441:0.455862:0.523441:0.000000
2:@0.464840:0.533442:0.469793:0.533442:0.469793:0.523824:0.464840:0.523824:0.000000
y:@0.495381:0.523565:0.503068:0.523565:0.503068:0.507096:0.495381:0.507096:0.000000
2:@0.503069:0.517097:0.508022:0.517097:0.508022:0.507479:0.503069:0.507479:0.000000
b:@0.494592:0.539910:0.503858:0.539910:0.503858:0.523441:0.494592:0.523441:0.000000
2:@0.503858:0.533442:0.508811:0.533442:0.508811:0.523824:0.503858:0.523824:0.000000
b x:@0.520128:0.606904:0.541822:0.606904:0.541822:0.590435:0.520128:0.590435:0.000000:0.000000:0.000000
2 2:@0.529395:0.600435:0.546775:0.600435:0.546775:0.590817:0.529395:0.590817:0.000000:0.000000:0.000000
a:@0.526487:0.623249:0.535464:0.623249:0.535464:0.606780:0.526487:0.606780:0.000000
2:@0.535464:0.616780:0.540418:0.616780:0.540418:0.607162:0.535464:0.607162:0.000000
b x:@0.589327:0.638467:0.611021:0.638467:0.611021:0.621998:0.589327:0.621998:0.000000:0.000000:0.000000
2 2:@0.598594:0.631998:0.615974:0.631998:0.615974:0.622380:0.598594:0.622380:0.000000:0.000000:0.000000
a:@0.595686:0.654812:0.604664:0.654812:0.604664:0.638343:0.595686:0.638343:0.000000
2:@0.604664:0.648343:0.609617:0.648343:0.609617:0.638725:0.604664:0.638725:0.000000
b x:@0.540745:0.673127:0.562439:0.673127:0.562439:0.656658:0.540745:0.656658:0.000000:0.000000:0.000000
2 3:@0.550012:0.666658:0.567392:0.666658:0.567392:0.657040:0.550012:0.657040:0.000000:0.000000:0.000000
a:@0.547104:0.689472:0.556082:0.689472:0.556082:0.673003:0.547104:0.673003:0.000000
2:@0.556082:0.683003:0.561035:0.683003:0.561035:0.673385:0.556082:0.673385:0.000000
3:@0.544109:0.715512:0.552605:0.715512:0.552605:0.699014:0.544109:0.699014:0.000000
b x:@0.552605:0.715627:0.574298:0.715627:0.574298:0.699159:0.552605:0.699159:0.000000:0.000000:0.000000
2 2:@0.561871:0.709159:0.579251:0.709159:0.579251:0.699541:0.561871:0.699541:0.000000:0.000000:0.000000
a:@0.554715:0.731972:0.563692:0.731972:0.563692:0.715504:0.554715:0.715504:0.000000
2:@0.563692:0.725504:0.568645:0.725504:0.568645:0.715886:0.563692:0.715886:0.000000
dR:@0.452637:0.715627:0.471382:0.715627:0.471382:0.699159:0.452637:0.699159:0.000000:0.000000
dx:@0.453774:0.731966:0.470265:0.731966:0.470265:0.715497:0.453774:0.715497:0.000000:0.000000
b:@0.636064:0.773608:0.645331:0.773608:0.645331:0.757139:0.636064:0.757139:0.000000
2:@0.645330:0.767139:0.650283:0.767139:0.650283:0.757521:0.645330:0.757521:0.000000
3:@0.638926:0.789837:0.647422:0.789837:0.647422:0.773339:0.638926:0.773339:0.000000
a:@0.704876:0.740147:0.713854:0.740147:0.713854:0.723679:0.704876:0.723679:0.000000
3:@0.708672:0.756370:0.717168:0.756370:0.717168:0.739873:0.708672:0.739873:0.000000
a:@0.618094:0.822594:0.627072:0.822594:0.627072:0.806125:0.618094:0.806125:0.000000
3:@0.621889:0.838817:0.630385:0.838817:0.630385:0.822319:0.621889:0.822319:0.000000
2:@0.853752:0.822517:0.862248:0.822517:0.862248:0.806019:0.853752:0.806019:0.000000
2:@0.692258:0.773492:0.700754:0.773492:0.700754:0.756995:0.692258:0.756995:0.000000
3:@0.692258:0.789831:0.700754:0.789831:0.700754:0.773333:0.692258:0.773333:0.000000
2:@0.850994:0.773047:0.859490:0.773047:0.859490:0.756549:0.850994:0.756549:0.000000
3:@0.850994:0.789386:0.859490:0.789386:0.859490:0.772888:0.850994:0.772888:0.000000
2:@0.307747:0.863772:0.313658:0.863772:0.313658:0.852295:0.307747:0.852295:0.000000
y:@0.313658:0.863853:0.319005:0.863853:0.319005:0.852396:0.313658:0.852396:0.000000
2:@0.234345:0.678084:0.240255:0.678084:0.240255:0.666607:0.234345:0.666607:0.000000
y:@0.240255:0.678164:0.245603:0.678164:0.245603:0.666708:0.240255:0.666708:0.000000
b:@0.276025:0.669082:0.282471:0.669082:0.282471:0.657625:0.276025:0.657625:0.000000
2:@0.186259:0.710512:0.192169:0.710512:0.192169:0.699035:0.186259:0.699035:0.000000
x:@0.192169:0.710593:0.197369:0.710593:0.197369:0.699136:0.192169:0.699136:0.000000
barra:@0.180550:0.651912:0.206094:0.651912:0.206094:0.640435:0.180550:0.640435:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.169641:0.832842:0.175551:0.832842:0.175551:0.821366:0.169641:0.821366:0.000000
x:@0.175551:0.832923:0.180751:0.832923:0.180751:0.821466:0.175551:0.821466:0.000000
k:@0.305925:0.787218:0.311661:0.787218:0.311661:0.775761:0.305925:0.775761:0.000000
I:@0.256421:0.531855:0.259209:0.531855:0.259209:0.520398:0.256421:0.520398:0.000000
F:@0.262305:0.579984:0.267558:0.579984:0.267558:0.568528:0.262305:0.568528:0.000000
x:@0.360849:0.547194:0.366049:0.547194:0.366049:0.535737:0.360849:0.535737:0.000000
x:@0.360849:0.586210:0.366049:0.586210:0.366049:0.574754:0.360849:0.574754:0.000000
x:@0.302248:0.711597:0.307480:0.711597:0.307480:0.700069:0.302248:0.700069:0.000000
2:@0.307479:0.707069:0.310947:0.707069:0.310947:0.700337:0.307479:0.700337:0.000000
a:@0.301722:0.723039:0.308006:0.723039:0.308006:0.711511:0.301722:0.711511:0.000000
2:@0.308005:0.718511:0.311473:0.718511:0.311473:0.711778:0.308005:0.711778:0.000000
y:@0.329385:0.711597:0.334766:0.711597:0.334766:0.700069:0.329385:0.700069:0.000000
2:@0.334764:0.707069:0.338231:0.707069:0.338231:0.700337:0.334764:0.700337:0.000000
b:@0.328832:0.723039:0.335318:0.723039:0.335318:0.711511:0.328832:0.711511:0.000000
2:@0.335318:0.718511:0.338786:0.718511:0.338786:0.711778:0.335318:0.711778:0.000000
      +       = 1:@0.298951:0.716778:0.360621:0.716778:0.360621:0.705230:0.298951:0.705230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000