176:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Aplicaciones de la derivada:@0.073089:0.043661:0.316384:0.043661:0.316384:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En los ejercicios 11 al 15, determina los puntos críticos y :@0.073089:0.136836:0.490125:0.136836:0.490125:0.120402:0.073089:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los valores extremos de las funciones dadas.:@0.073089:0.153478:0.391323:0.153478:0.391323:0.137044:0.073089:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11.    = :@0.073089:0.180841:0.133255:0.180841:0.133255:0.164172:0.073089:0.164172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.107116:0.180841:0.118511:0.180841:0.118511:0.164158:0.107116:0.164158:0.000000:0.000000
–:@0.133181:0.181424:0.142385:0.181424:0.142385:0.163770:0.133181:0.163770:0.000000
x:@0.142293:0.180841:0.150410:0.180841:0.150410:0.164158:0.142293:0.164158:0.000000
2 :@0.150325:0.174777:0.158062:0.174777:0.158062:0.165059:0.150325:0.165059:0.000000:0.000000
+ 3 .  :@0.158014:0.180841:0.201749:0.180841:0.201749:0.164172:0.158014:0.164172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.182090:0.180841:0.190208:0.180841:0.190208:0.164158:0.182090:0.164158:0.000000
12.     = 3:@0.073089:0.222500:0.143158:0.222500:0.143158:0.205830:0.073089:0.205830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.107116:0.222500:0.115234:0.222500:0.115234:0.205817:0.107116:0.205817:0.000000
x:@0.143066:0.222500:0.151183:0.222500:0.151183:0.205817:0.143066:0.205817:0.000000
4 :@0.151119:0.216435:0.158857:0.216435:0.158857:0.206717:0.151119:0.206717:0.000000:0.000000
–:@0.158809:0.223083:0.168012:0.223083:0.168012:0.205428:0.158809:0.205428:0.000000
 4   en el intervalo [ 1,3]. :@0.167920:0.222500:0.363561:0.222500:0.363561:0.205830:0.167920:0.205830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.181118:0.222500:0.189236:0.222500:0.189236:0.205817:0.181118:0.205817:0.000000
3:@0.189160:0.216435:0.194666:0.216435:0.194666:0.206717:0.189160:0.206717:0.000000
–:@0.319107:0.223083:0.328311:0.223083:0.328311:0.205428:0.319107:0.205428:0.000000
Formen grupos de cuatro o cinco estudiantes e imaginen que tienen un :@0.090471:0.307193:0.628975:0.307193:0.628975:0.290759:0.090471:0.290759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño huerto en una de sus casas y quieren plantar vegetales en una :@0.090471:0.323835:0.628719:0.323835:0.628719:0.307401:0.090471:0.307401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parcela rectangular para aprovechar al máximo el espacio. El objetivo es :@0.090471:0.340477:0.628957:0.340477:0.628957:0.324043:0.090471:0.324043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sembrar la mayor cantidad de vegetales posible (máximo rendimiento), :@0.090471:0.357119:0.629258:0.357119:0.629258:0.340685:0.090471:0.340685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero también necesitan dejar espacio para que puedan moverse y regar las :@0.090471:0.373760:0.628546:0.373760:0.628546:0.357327:0.090471:0.357327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plantas (mínimo espacio libre).:@0.090471:0.390402:0.312234:0.390402:0.312234:0.373968:0.090471:0.373968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Definir la variable y la función::@0.090482:0.417758:0.348091:0.417758:0.348091:0.401088:0.090482:0.401088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Definan una variable   que represente el ancho (en metros) del :@0.122026:0.442620:0.628949:0.442620:0.628949:0.426186:0.122026:0.426186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.311247:0.442620:0.319365:0.442620:0.319365:0.425936:0.311247:0.425936:0.000000
espacio que dejan para caminar en uno de los lados de la parcela.:@0.152135:0.459262:0.625176:0.459262:0.625176:0.442828:0.152135:0.442828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Expresen el área disponible para plantar en función de   sabiendo que cada metro cuadrado puede :@0.122026:0.497346:0.912128:0.497346:0.912128:0.480912:0.122026:0.480912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x,:@0.568121:0.497346:0.580214:0.497346:0.580214:0.480663:0.568121:0.480663:0.000000:0.000000
usarse para una planta. La función que representará esta área será :@0.152135:0.513988:0.631366:0.513988:0.631366:0.497554:0.152135:0.497554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(x):@0.630853:0.513988:0.657727:0.513988:0.657727:0.497582:0.630853:0.497582:0.000000:0.000000:0.000000:0.000000
.:@0.657690:0.513988:0.660893:0.513988:0.660893:0.497554:0.657690:0.497554:0.000000
2.  Escribir la función de área::@0.090482:0.552073:0.318124:0.552073:0.318124:0.535403:0.090482:0.535403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Piensen en cómo expresar :@0.122026:0.576933:0.347789:0.576933:0.347789:0.560499:0.122026:0.560499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(x):@0.347786:0.576933:0.376593:0.576933:0.376593:0.560250:0.347786:0.560250:0.000000:0.000000:0.000000:0.000000
, la función que calcula el área disponible para plantar, en términos de   y :@0.376538:0.576933:0.911950:0.576933:0.911950:0.560499:0.376538:0.560499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.887615:0.576933:0.895733:0.576933:0.895733:0.560250:0.887615:0.560250:0.000000
del área total de la parcela.:@0.152135:0.593575:0.344782:0.593575:0.344782:0.577141:0.152135:0.577141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  Explorar el dominio de la función::@0.090482:0.631660:0.374660:0.631660:0.374660:0.614990:0.090482:0.614990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Consideren los valores posibles de   ¿Hasta cuánto puede crecer   sin dejar el área de plantación en cero?:@0.122026:0.656522:0.907738:0.656522:0.907738:0.640088:0.122026:0.640088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x.:@0.401204:0.656522:0.413104:0.656522:0.413104:0.639838:0.401204:0.639838:0.000000:0.000000
x:@0.619900:0.656522:0.628018:0.656522:0.628018:0.639838:0.619900:0.639838:0.000000
b.  Escriban el dominio de :@0.122026:0.694606:0.322176:0.694606:0.322176:0.678172:0.122026:0.678172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(x:@0.321942:0.694606:0.345595:0.694606:0.345595:0.677923:0.321942:0.677923:0.000000:0.000000:0.000000
) en función de esta restricción.:@0.345540:0.694606:0.571198:0.694606:0.571198:0.678172:0.345540:0.678172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.  Cálculo y análisis de máximos y mínimos::@0.090482:0.732690:0.430802:0.732690:0.430802:0.716020:0.090482:0.716020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Utilicen el concepto de máximos y mínimos para analizar en qué valor de   el área :@0.122026:0.757551:0.749738:0.757551:0.749738:0.741118:0.122026:0.741118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.686498:0.757551:0.694615:0.757551:0.694615:0.740868:0.686498:0.740868:0.000000
A(x):@0.749616:0.757551:0.778424:0.757551:0.778424:0.740868:0.749616:0.740868:0.000000:0.000000:0.000000:0.000000
 es máxima.:@0.778368:0.757551:0.863299:0.757551:0.863299:0.741118:0.778368:0.741118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Pueden hacer una tabla de valores de   (por ejemplo, :@0.122026:0.795636:0.524998:0.795636:0.524998:0.779202:0.122026:0.779202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.416666:0.795636:0.424783:0.795636:0.424783:0.778953:0.416666:0.778953:0.000000
x=0, x = 0.5, x = 1, x = 1.5x,:@0.524330:0.795636:0.704850:0.795636:0.704850:0.778953:0.524330:0.778953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 etc.) y ver cómo cambia :@0.704500:0.795636:0.876845:0.795636:0.876845:0.779202:0.704500:0.779202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A(x).:@0.876221:0.795636:0.907946:0.795636:0.907946:0.778953:0.876221:0.778953:0.000000:0.000000:0.000000:0.000000:0.000000
5.  Reflexión y conclusión::@0.090481:0.833721:0.293679:0.833721:0.293679:0.817051:0.090481:0.817051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  Discutan en grupo cuál sería la mejor decisión: ¿cuánto espacio deberían dejar para caminar si quieren :@0.122025:0.858582:0.911305:0.858582:0.911305:0.842149:0.122025:0.842149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
maximizar el área de plantación?:@0.152154:0.875224:0.388994:0.875224:0.388994:0.858791:0.152154:0.858791:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  Piensen en cómo aplicarían este tipo de análisis a otros problemas de la vida real.:@0.122025:0.913308:0.737841:0.913308:0.737841:0.896874:0.122025:0.896874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13.     = :@0.514231:0.146269:0.574930:0.146269:0.574930:0.129600:0.514231:0.129600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.548258:0.146269:0.556375:0.146269:0.556375:0.129586:0.548258:0.129586:0.000000
x:@0.591453:0.136836:0.599570:0.136836:0.599570:0.120153:0.591453:0.120153:0.000000
x:@0.574849:0.153478:0.582967:0.153478:0.582967:0.136795:0.574849:0.136795:0.000000
2 :@0.582897:0.147414:0.590634:0.147414:0.590634:0.137696:0.582897:0.137696:0.000000:0.000000
+ 1:@0.590586:0.153478:0.614755:0.153478:0.614755:0.136808:0.590586:0.136808:0.000000:0.000000:0.000000
 :@0.616098:0.146267:0.619448:0.146267:0.619448:0.129583:0.616098:0.129583:0.000000
en el intervalo [0,2]. :@0.619375:0.146267:0.771621:0.146267:0.771621:0.129597:0.619375:0.129597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
14.     = :@0.514231:0.187928:0.574930:0.187928:0.574930:0.171258:0.514231:0.171258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.548258:0.187928:0.556375:0.187928:0.556375:0.171244:0.548258:0.171244:0.000000
x:@0.574838:0.187928:0.582955:0.187928:0.582955:0.171244:0.574838:0.171244:0.000000
3 :@0.582897:0.181864:0.590634:0.181864:0.590634:0.172146:0.582897:0.172146:0.000000:0.000000
– :@0.590586:0.188510:0.604299:0.188510:0.604299:0.170856:0.590586:0.170856:0.000000:0.000000
3 .:@0.604299:0.187928:0.630893:0.187928:0.630893:0.171258:0.604299:0.171258:0.000000:0.000000:0.000000
x:@0.613577:0.187928:0.621694:0.187928:0.621694:0.171244:0.613577:0.171244:0.000000
2:@0.621622:0.181864:0.627127:0.181864:0.627127:0.172146:0.621622:0.172146:0.000000
15.     = (:@0.514231:0.229585:0.580084:0.229585:0.580084:0.212916:0.514231:0.212916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.548258:0.229585:0.556375:0.229585:0.556375:0.212902:0.548258:0.212902:0.000000
x:@0.579992:0.229585:0.588109:0.229585:0.588109:0.212902:0.579992:0.212902:0.000000
2 :@0.588046:0.223522:0.595783:0.223522:0.595783:0.213803:0.588046:0.213803:0.000000:0.000000
–:@0.595735:0.230168:0.604938:0.230168:0.604938:0.212514:0.595735:0.212514:0.000000
 1) .:@0.604846:0.229585:0.632456:0.229585:0.632456:0.212916:0.604846:0.212916:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.623185:0.223522:0.628690:0.223522:0.628690:0.213803:0.623185:0.213803:0.000000
Trabajo colaborativo:@0.081835:0.283519:0.223162:0.283519:0.223162:0.268365:0.081835:0.268365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@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