Métodos Numéricos
| | fX1-f(X0)X1-X0 = fX-f(X0)X-X0 fX1-f(X0)X1-X0 = fX-f(X0)X-X0 | | | | … (1) | | | | | | | | De donde se despeja f(X) | | | | | fX=fX0+ fX1-f(X0)X1-X0 (X-X0) fX=fX0+ fX1-f(X0)X1-X0 (X-X0) | | | | | | … (1) | | | | | | | Número | Logaritmo 10 | | | | | x | f(x) | | | | | 8 | 0.90308999 | | | | | 9 | 0.95424251 | | | …ver más…
| | | | | | | | f1x=(x-x1)(x0-x1)f(x0) + (x-x0)(x1-x0)f(x1) f1x=(x-x1)(x0-x1)f(x0) + (x-x0)(x1-x0)f(x1) | Polinomio de Lagrange de Primer Orden | | | | | | | | | | | | | | | | | | | | | | | | | f1(x)= | 32 | | | | | | | | | | | | | | | f2x=(x-x1)(x-x2)(x0-x1)(x0-x2)f(x0) + (x-x0)(x-x2)(x1-x0)(x1-x2)f(x1) + (x-x0)(x-x1)(x2-x0)(x2-x1)f(x2) f2x=(x-x1)(x-x2)(x0-x1)(x0-x2)f(x0) + (x-x0)(x-x2)(x1-x0)(x1-x2)f(x1) + (x-x0)(x-x1)(x2-x0)(x2-x1)f(x2) | | | | Polinomio de Lagrange de Segundo Orden | | | | | | | | | | | | | | | | | | | f2(x)= | 50 | | | | | | | | | | | | | | | f3x=(x-x1)(x-x2)(x-x3)(x0-x1)(x0-x2)(x0-x3)f(x0) + (x-x0)(x-x2)(x-x3)(x1-x0)(x1-x2)(x1-x3)f(x1) +
(x-x0)(x-x1)(x-x3)(x2-x0)(x2-x1)(x2-x3)f(x2) + (x-x0)(x-x1)(x-x2)(x3-x0)(x3-x1)(x3-x2)f(x3) f3x=(x-x1)(x-x2)(x-x3)(x0-x1)(x0-x2)(x0-x3)f(x0) + (x-x0)(x-x2)(x-x3)(x1-x0)(x1-x2)(x1-x3)f(x1) +
(x-x0)(x-x1)(x-x3)(x2-x0)(x2-x1)(x2-x3)f(x2) + (x-x0)(x-x1)(x-x2)(x3-x0)(x3-x1)(x3-x2)f(x3) | | | | Polinomio de Lagrange de Tercer Orden | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | f(x)= | 48 | | | | |
E-24.7 | Los siguientes datos se obtuvieron al cargar un gran buque petrolero: | | t, min | 0 | 10 | 20 | 30 | 45 | 60 | 75 | | | V, 106 barriles | 0.4 | 0.7 | 0.77 |