Title | Regla Falsa - tarea |
---|---|
Author | MANUEL GOMEZ JIMENEZ |
Course | Análisis numérico |
Institution | Universidad de Guadalajara |
Pages | 4 |
File Size | 247.8 KB |
File Type | |
Total Downloads | 23 |
Total Views | 155 |
tarea...
Universidad de Guadalajara Lic. En ingeniería en alimentos y biotecnología Análisis numérico y programación ACTIVIDAD # 6
REGLA FALSA Profesora: Norma Elva Espino Rojas
Manuel Gómez Jiménez Código: 218698595
𝑓(𝑥) = 𝑥 3 + 3𝑥 2 − cos 𝑥 + Al graficar nuestra función nos da como resultado:
TOMANDO VALOR INICIAL -4= Xi -3=Xd ITERACION xI xD 0 -4.000000 -3.000000 1 -4.000000 -3.060601 2 -4.000000 -3.086150 3 -4.000000 -3.096625 4 -4.000000 -3.100869 5 -4.000000 -3.102581
f(xI) f(Xd) Xm f(xm) tolerancia -15.346356 0.989992 -3.060601 0.429059 -15.346356 0.429059 -3.086150 0.177940 3% -15.346356 0.177940 -3.096625 0.072445 1% -15.346356 0.072445 -3.100869 0.029272 0% -15.346356 0.029272 -3.102581 0.011792 0% -15.346356 0.011792 -3.103270 0.004744 0%
6 7 8 9 10 11 12 13 14 15 16
-4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000 -4.000000
-3.103270 -3.103547 -3.103659 -3.103704 -3.103722 -3.103729 -3.103732 -3.103733 -3.103733 -3.103734 -3.103734
-15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356 -15.346356
0.004744 0.001908 0.000767 0.000308 0.000124 0.000050 0.000020 0.000008 0.000003 0.000001 0.000001
-3.103547 -3.103659 -3.103704 -3.103722 -3.103729 -3.103732 -3.103733 -3.103733 -3.103734 -3.103734 -3.103734
0.001908 0.000767 0.000308 0.000124 0.000050 0.000020 0.000008 0.000003 0.000001 0.000001 0.000000
0% 0% 0% 0% 0% 0% 0% 0% 0% 0% 0%
TOMANDO VALOR INICIAL: -1= Xi -0.5= Xd ITERACION xI xD f(xI) f(Xd) Xm f(xm) tolerancia 0 -1.000000 -0.500000 1.459698 -0.252583 -0.573756 -0.041158 1 -1.000000 -0.573756 1.459698 -0.041158 -0.585445 -0.005887 1% 2 -1.000000 -0.585445 1.459698 -0.005887 -0.587110 -0.000825 0% 3 -1.000000 -0.587110 1.459698 -0.000825 -0.587344 -0.000115 0% 4 -1.000000 -0.587344 1.459698 -0.000115 -0.587376 -0.000016 0% 5 -1.000000 -0.587376 1.459698 -0.000016 -0.587381 -0.000002 0% 6 -1.000000 -0.587381 1.459698 -0.000002 -0.587381 0.000000 0%
TOMANDO VALOR INICIAL: 0= XI 1= XD ITERACION xI xD f(xI) f(Xd) Xm f(xm) tolerancia 0 0.000000 1.000000 -1.000000 3.459698 0.224230 -0.812853 1 0.224230 1.000000 -0.812853 3.459698 0.371821 -0.465511 15% 2 0.371821 1.000000 -0.465511 3.459698 0.446320 -0.215530 7% 3 0.446320 1.000000 -0.215530 3.459698 0.478790 -0.090076 3% 4 0.478790 1.000000 -0.090076 3.459698 0.492016 -0.036037 1% 5 0.492016 1.000000 -0.036037 3.459698 0.497252 -0.014166 1% 6 0.497252 1.000000 -0.014166 3.459698 0.499303 -0.005530 0% 7 0.499303 1.000000 -0.005530 3.459698 0.500102 -0.002153 0%
8 9 10 11 12 13 14 15 16
0.500102 0.500412 0.500533 0.500580 0.500599 0.500606 0.500608 0.500610 0.500610
1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000
-0.002153 -0.000837 -0.000325 -0.000126 -0.000049 -0.000019 -0.000007 -0.000003 -0.000001
3.459698 3.459698 3.459698 3.459698 3.459698 3.459698 3.459698 3.459698 3.459698
0.500412 0.500533 0.500580 0.500599 0.500606 0.500608 0.500610 0.500610 0.500610
-0.000837 -0.000325 -0.000126 -0.000049 -0.000019 -0.000007 -0.000003 -0.000001 0.000000
0% 0% 0% 0% 0% 0% 0% 0% 0%...