Advanced Math Archive: Questions from July 31, 2023
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1) Sea u(x,t) la solución de
u t =3u xx , 0⩽x⩽10, t⩾0, u(0,t)=0,
u(10,t)=0, u(x,0)=2 sen(πx/5)
obtenido al separar las variables. ¿Qué es u(3,1/3)?
2) Sea u(x,y) la solución al problema del
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También se puede determinar el ángulo entre dos planos.
Encuentra el ángulo entre los planos dado por las ecuaciones.
[x,y,z] = [1, -3, -2] + s [2,3,5] + t [-2,1,7] y [x,y,z] = [6,-2
,1] +8 [5,-3,4
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Encuentra una base para el subespacio de ℝ4 generado por los
siguientes vectores.
[1,2,-1,2],[-3,-6,3,-6],[-2,-1,-2,0],[-5,-10,5,-10]
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