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Biseccion de una parabaola, Ejercicios de Métodos Matemáticos

Espero les ayude, es el problema de una biseccion de una parábola

Tipo: Ejercicios

2022/2023

Subido el 09/04/2025

carlos-bernal-29
carlos-bernal-29 🇲🇽

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bg1
x f(x) g(x) h(x)
-2 -1 2.340747554
-3.340747554
-1.9 -0.61 2.331075363
-2.941075363
-1.8 -0.24 2.321308707
-2.561308707
-1.7 0.11 2.311445721
-2.201445721
-1.6 0.44 2.301484488
-1.861484488
-1.5 0.75 2.291423028
-1.541423028
-1.4 1.04 2.281259306
-1.241259306
-1.3 1.31 2.270991221
-0.960991221
-1.2 1.56 2.260616608
-0.700616608
-1.1 1.79 2.250133233
-0.460133233
-1 2 2.239538791
-0.239538791
-0.9 2.19 2.228830904
-0.038830904
-0.8 2.36 2.218007117 0.141992883
-0.7 2.51 2.207064891 0.302935109
-0.6 2.64 2.196001608 0.443998392
-0.5 2.75 2.184814557 0.565185443
-0.4 2.84 2.17350094 0.66649906
-0.3 2.91 2.162057858 0.747942142
-0.2 2.96 2.150482315 0.809517685
-0.1 2.99 2.138771208 0.851228792
0 3 2.126921324 0.873078676
0.1 2.99 2.114929335 0.875070665
0.2 2.96 2.10279179 0.85720821
0.3 2.91 2.090505114 0.819494886
0.4 2.84 2.078065595 0.761934405
0.5 2.75 2.065469384 0.684530616
0.6 2.64 2.052712482 0.587287518
0.7 2.51 2.039790736 0.470209264
0.8 2.36 2.02669983 0.33330017
0.9 2.19 2.013435277 0.176564723
1 2 1.999992408
7.592193E-06
1.1 1.79 1.986366362
-0.196366362
1.2 1.56 1.97255208 -0.41255208
1.3 1.31 1.958544287
-0.648544287
1.4 1.04 1.944337484
-0.904337484
1.5 0.75 1.929925937
-1.179925937
1.6 0.44 1.915303655
-1.475303655
1.7 0.11 1.900464386
-1.790464386
1.8 -0.24 1.885401592
-2.125401592
1.9 -0.61 1.870108436
-2.480108436
2 -1 1.854577762
-2.854577762
-2
-1.8
-1.6
-1.4
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
-1.5
-1
-0.5
0
0.5
1
1.5
2
2.5
3
3.5
f(x) y g(x) juntas
f(x) g(x)
-2
-1.8
-1.6
-1.4
-1.2
-1
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
-4
-3
-2
-1
0
1
2
h(x)=f(X)-g(x)
pf3
pf4
pf5

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x f(x) g(x) h(x)

f(x) y g(x) juntas

0 1 2

ELABORADFO POR : BERNAL BRAVO CARLOS EDUARDO

8 -0.6 -0.4 -0. (^0) 0.2 0.4 0.6 0.8 (^1) 1.2 1.4 1.6 1.8 2

f(x) y g(x) juntas

f(x) g(x) -0.6 -0.4 -0. (^0) 0.2 0.4 0.6 0.8 (^1) 1.2 1.4 1.6 1.8 2

h(x)=f(X)-g(x)

εak

 - -2 -1 2.340747554 -3. 
  • -1.9 -0.61 2.331075363 -2.
  • -1.8 -0.24 2.321308707 -2.
  • -1.7 0.11 2.311445721 -2.
  • -1.6 0.44 2.301484488 -1.
  • -1.5 0.75 2.291423028 -1.
  • -1.4 1.04 2.281259306 -1.
  • -1.3 1.31 2.270991221 -0.
  • -1.2 1.56 2.260616608 -0.
  • -1.1 1.79 2.250133233 -0. - -1 2 2.239538791 -0.
  • -0.9 2.19 2.228830904 -0.
  • -0.8 2.36 2.218007117 0.
  • -0.7 2.51 2.207064891 0.
  • -0.6 2.64 2.196001608 0.
  • -0.5 2.75 2.184814557 0.
  • -0.4 2.84 2.17350094 0.
  • -0.3 2.91 2.162057858 0.
  • -0.2 2.96 2.150482315 0.
  • -0.1 2.99 2.138771208 0. - 0 3 2.126921324 0.
    • 0.1 2.99 2.114929335 0.
    • 0.2 2.96 2.10279179 0.
    • 0.3 2.91 2.090505114 0.
    • 0.4 2.84 2.078065595 0.
    • 0.5 2.75 2.065469384 0.
    • 0.6 2.64 2.052712482 0.
    • 0.7 2.51 2.039790736 0.
    • 0.8 2.36 2.02669983 0.
    • 0.9 2.19 2.013435277 0. - 1 2 1.999992408 7.592193E-
    • 1.1 1.79 1.986366362 -0.
    • 1.2 1.56 1.97255208 -0.
    • 1.3 1.31 1.958544287 -0.
    • 1.4 1.04 1.944337484 -0.
    • 1.5 0.75 1.929925937 -1.
    • 1.6 0.44 1.915303655 -1.
    • 1.7 0.11 1.900464386 -1.
    • 1.8 -0.24 1.885401592 -2.
    • 1.9 -0.61 1.870108436 -2. - 2 -1 1.854577762 -2. - -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2^0 0.2 0.4 0.6 0.8 - -1. - - - -0. - 0. - 1. - 2. - 3. - -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2^0 0.2 0.4 0.6 0.8 f(x) g(x) - - - - - - - -
      • 0 -1 0 -0.5 -0.2395387913 0.8730786761 0.
      • 1 -1 -0.5 -0.75 -0.2395387913 0.5651854427 0.
      • 2 -1 -0.75 -0.875 -0.2395387913 0.2249490297 0.
      • 3 -1 -0.875 -0.9375 -0.2395387913 0.0082390792 -0.
      • 4 -0.9375 -0.875 -0.90625 -0.1117660605 0.0082390792 -0.
      • 5 -0.90625 -0.875 -0.890625 -0.0507925795 0.0082390792 -0.
      • 6 -0.890625 -0.875 -0.8828125 -0.0210340271 0.0082390792 -0.
      • 7 -0.8828125 -0.875 -0.87890625 -0.0063367938 0.0082390792 0.
      • 8 -0.8828125 -0.87890625 -0.880859375 -0.0063367938 0.0009663126 -0.
      • 9 -0.880859375 -0.87890625 -0.879882813 -0.0026814481 0.0009663126 -0.
    • 10 -0.879882813 -0.87890625 -0.879394531 -0.0008566196 0.0009663126 5.508355E-
    • 11 -0.879882813 -0.879394531 -0.879638672 -0.0008566196 5.508355E-05 -0.
    • 12 -0.879638672 -0.879394531 -0.879516602 -0.0004007088 5.508355E-05 -0.
    • 13 -0.879516602 -0.879394531 -0.879455566 -0.0001727978 5.508355E-05 -5.88534E-
    • 14 -0.879455566 -0.879394531 -0.879425049 -5.8853415E-05 5.508355E-05 -1.884E-
    • 15 -0.879425049 -0.879394531 -0.87940979 -1.8840046E-06 5.508355E-05 2.660001E-
    • 16 -0.879425049 -0.87940979 -0.879417419 -1.8840046E-06 2.660001E-05 1.235806E-
    • 17 -0.879425049 -0.879417419 -0.879421234 -1.8840046E-06 1.235806E-05 5.237041E-
  • f(x17)= 2.22661829 g(x17)= 2.22661306 [f(x4)+g(x4)/2= 2. - xe1= -0.879421234 ye1= 2. - 0 1 2 1.5 7.5921935E-06 -2.854577762 -1. k - 1 1 1.5 1.25 7.5921935E-06 -1.179925937 -0. - 2 1 1.25 1.125 7.5921935E-06 -0.528072711 -0. - 3 1 1.125 1.0625 7.5921935E-06 -0.248555641 -0. - 4 1 1.0625 1.03125 7.5921935E-06 -0.120404162 -0. - 5 1 1.03125 1.015625 7.5921935E-06 -0.059230742 -0. - 6 1 1.015625 1.0078125 7.5921935E-06 -0.02936968 -0. - 7 1 1.0078125 1.00390625 7.5921935E-06 -0.014620569 -0. - 8 1 1.00390625 1.001953125 7.5921935E-06 -0.007291369 -0. - 9 1 1.001953125 1.000976563 7.5921935E-06 -0.003638109 -0.
    • 10 1 1.000976563 1.000488281 7.5921935E-06 -0.001814313 -0.
    • 11 1 1.000488281 1.000244141 7.5921935E-06 -0.000903124 -0.
    • 12 1 1.000244141 1.00012207 7.5921935E-06 -0.000447707 -0.
    • 13 1 1.00012207 1.000061035 7.5921935E-06 -0.000220043 -0.
    • 14 1 1.000061035 1.000030518 7.5921935E-06 -0.000106222 -4.93137E-
    • 15 1 1.000030518 1.000015259 7.5921935E-06 -4.931375E-05 -2.08605E-
    • 16 1 1.000015259 1.000007629 7.5921935E-06 -2.086055E-05 -6.63412E-
    • 17 1 1.000007629 1.000003815 7.5921935E-06 -6.634119E-06 4.790516E-
  • f(x17)= 1.99999237 g(x17)= 1.99999189 [f(x4)+g(x4)/2= 1.
  • xe1= 1.000003815 ye1= 1. - 0. No hay - 0. - 0. - 0. - 0. - 0. - 0.
  • 6.103516E-
  • 3.051758E-
  • 1.525879E-
  • 7.629395E-
  • 3.814697E- - 0. No hay - 0. - 0. - 0. - 0. - 0. - 0.
  • 6.103516E-
  • 3.051758E-
  • 1.525879E-
  • 7.629395E-
  • 3.814697E-