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ANDRES FELIPE RENTERIA MARTINEZ                  2303517

SOLUCION AL TALLER EN SCILAB



punto 1



-->biseccion(1,0,0.01)

It. Xa Xb Xr f(Xr) Error

1 1.0000000 0.0000000 0.5000000 -6.2581515

2 0.5000000 0.0000000 0.2500000 -1.6394539 1.000000

3 0.2500000 0.0000000 0.1250000 0.8144890 1.000000

4 0.2500000 0.1250000 0.1875000 -0.4199467 0.333333

5 0.1875000 0.1250000 0.1562500 0.1957259 0.200000

6 0.1875000 0.1562500 0.1718750 -0.1125364 0.090909

7 0.1718750 0.1562500 0.1640625 0.0414932 0.047619

8 0.1718750 0.1640625 0.1679688 -0.0355476 0.023256

9 0.1679688 0.1640625 0.1660156 0.0029664 0.011765

10 0.1679688 0.1660156 0.1669922 -0.0162922 0.005848

ans =



0.5

0.25

0.125

0.1875

0.15625

0.171875

0.1640625
0.1679688

0.1660156

0.1669922

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++

punto2



>newtonraphson(1,0.0001);

i X(i) Error aprox (i)

0 1.0000000 100.000000

1 0.7142857 0.400000

2 0.6051687 0.180308

3 0.5900220 0.025671

4 0.5897546 0.000453

5 0.5897545 0.000000

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++

punto3



-->puntofijo(0,0.01);

i X(i) Error aprox (i)

0 0.0000000 100.000

1 300.0000000 1.000

2 -23626.4375000 1.013

3 -1.#INF000 1.#QO

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++
punto4

A

-->newtonraphson(1,0.0001);

i X(i) Error aprox (i)

0 1.0000000 100.000000

1 0.9084390 0.100789

2 0.9047941 0.004028

3 0.9047882 0.000006

////////////////////////////////////////////////////////////////////////////////////////////
////

B

-->secante(%pi/4,%pi/2,0.0001)

i x(i) Error aprox (i)

0 0.7853982

1 1.5707963 100.000

2 0.8770026 0.791

3 0.8985446 0.024

4 0.9048658 0.007

5 0.9047880 0.000

ans =



0.7853982

1.5707963

0.8770026

0.8985446

0.9048658
0.904788

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++

punto5

A)

-->secante(3,2,0.0001)

i x(i) Error aprox (i)

0 3.0000000

1 2.0000000 100.000

2 2.4000000 0.167

3 2.4545455 0.022

4 2.4494382 0.002

5 2.4494897 0.000

ans =



3.

2.

2.4

2.4545455

2.4494382

2.4494897

////////////////////////////////////////////////////////////////////////////////////////////
///////////

B)



-->reglafalsa(3,2,0.0001)
It. Xa Xb Xr f(Xr) Error aprox %

1 3.0000000 2.0000000 2.4000000 -0.2400000

2 3.0000000 2.4000000 2.4444444 -0.0246914 0.018

3 3.0000000 2.4444444 2.4489796 -0.0024990 0.002

4 3.0000000 2.4489796 2.4494382 -0.0002525 0.000

5 3.0000000 2.4494382 2.4494845 -0.0000255 0.000

ans =



2.4

2.4444444

2.4489796

2.4494382

2.4494845

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++

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Soluciones

  • 1. ANDRES FELIPE RENTERIA MARTINEZ 2303517 SOLUCION AL TALLER EN SCILAB punto 1 -->biseccion(1,0,0.01) It. Xa Xb Xr f(Xr) Error 1 1.0000000 0.0000000 0.5000000 -6.2581515 2 0.5000000 0.0000000 0.2500000 -1.6394539 1.000000 3 0.2500000 0.0000000 0.1250000 0.8144890 1.000000 4 0.2500000 0.1250000 0.1875000 -0.4199467 0.333333 5 0.1875000 0.1250000 0.1562500 0.1957259 0.200000 6 0.1875000 0.1562500 0.1718750 -0.1125364 0.090909 7 0.1718750 0.1562500 0.1640625 0.0414932 0.047619 8 0.1718750 0.1640625 0.1679688 -0.0355476 0.023256 9 0.1679688 0.1640625 0.1660156 0.0029664 0.011765 10 0.1679688 0.1660156 0.1669922 -0.0162922 0.005848 ans = 0.5 0.25 0.125 0.1875 0.15625 0.171875 0.1640625
  • 2. 0.1679688 0.1660156 0.1669922 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++ punto2 >newtonraphson(1,0.0001); i X(i) Error aprox (i) 0 1.0000000 100.000000 1 0.7142857 0.400000 2 0.6051687 0.180308 3 0.5900220 0.025671 4 0.5897546 0.000453 5 0.5897545 0.000000 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++ punto3 -->puntofijo(0,0.01); i X(i) Error aprox (i) 0 0.0000000 100.000 1 300.0000000 1.000 2 -23626.4375000 1.013 3 -1.#INF000 1.#QO ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++
  • 3. punto4 A -->newtonraphson(1,0.0001); i X(i) Error aprox (i) 0 1.0000000 100.000000 1 0.9084390 0.100789 2 0.9047941 0.004028 3 0.9047882 0.000006 //////////////////////////////////////////////////////////////////////////////////////////// //// B -->secante(%pi/4,%pi/2,0.0001) i x(i) Error aprox (i) 0 0.7853982 1 1.5707963 100.000 2 0.8770026 0.791 3 0.8985446 0.024 4 0.9048658 0.007 5 0.9047880 0.000 ans = 0.7853982 1.5707963 0.8770026 0.8985446 0.9048658
  • 4. 0.904788 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++ punto5 A) -->secante(3,2,0.0001) i x(i) Error aprox (i) 0 3.0000000 1 2.0000000 100.000 2 2.4000000 0.167 3 2.4545455 0.022 4 2.4494382 0.002 5 2.4494897 0.000 ans = 3. 2. 2.4 2.4545455 2.4494382 2.4494897 //////////////////////////////////////////////////////////////////////////////////////////// /////////// B) -->reglafalsa(3,2,0.0001)
  • 5. It. Xa Xb Xr f(Xr) Error aprox % 1 3.0000000 2.0000000 2.4000000 -0.2400000 2 3.0000000 2.4000000 2.4444444 -0.0246914 0.018 3 3.0000000 2.4444444 2.4489796 -0.0024990 0.002 4 3.0000000 2.4489796 2.4494382 -0.0002525 0.000 5 3.0000000 2.4494382 2.4494845 -0.0000255 0.000 ans = 2.4 2.4444444 2.4489796 2.4494382 2.4494845 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++