Soluciones

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);


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);


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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