deber matlab 22-10-15

UNIVERSIDAD TÉCNICA DE MANABÍ INSTITUTO DE CIENCIAS BÁSICAS

DEPARTAMENTO DE MATEMÁTICAS Y ESTADÍSTICA

TAREA AUTÓNOMA Nº 3

DE MÉTODOS NUMÉRICOS

TEMA: MATLAB

ESTUDIANTE:

MOREIRA VÁSQUEZ JONATHAN RICARDO

PROFESOR GUÍA:

Lcdo. Felipe Rumbaut León.

FECHA: 22 de OCTUBRE de 2015

QUINTO SEMESTRE PARALELO "D"

PERÍODO ACADÉMICO:

OCTUBRE 2015 - FEBRERO 2016

PORTOVIEJO – MANABÍ - ECUADOR

log ( x )+4 x−x2−2

>> syms x

>> f=' log(x)+4*x-x^2-2';

>> ezplot(f,[0,5]); grid on

>> format long

>> x=fzero(f,0.5)

x = 0.711653712812500

>> x=fzero(f,4)

x = 3.828223409141338

x5−x4+3 x3−8 x2+x−9

f='x^5-x^4+3*x^3-8*x^2+x-9';

>> ezplot(f,[-1,3]); grid on

>> x=fzero(f,2)

x = 1.980671598631637

>> x=solve(f)

x =

1.980671598631636696920395928458

- 1.1414428150989190799739696161064*i - 0.11667240689306184182356912632324

1.1414428150989190799739696161064*i - 0.11667240689306184182356912632324

1.8198557833078860773703059379684*i - 0.37366339242275650663662883790576

- 1.8198557833078860773703059379684*i - 0.37366339242275650663662883790576

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5-7

-6

-5

-4

-3

-2

-1

0

1

2

3

X: 0.6236Y: -0.3669

x

log(x)+4 x-x2-2

-1 -0.5 0 0.5 1 1.5 2 2.5 3

-20

0

20

40

60

80

100

x

x5-x4+3 x3-8 x2+x-9

x2−tan (x )=0

>> syms x

>> y='x^2-tan(x)';

>> ezplot(y,[-5,5]); grid on

>> ezplot(y,[-5,-4]); grid on

>> ezplot(y,[-4.8,-4.7]); grid on

>> ezplot(y,[-1,1]); grid on

>> ezplot(y,[-0.2,0.2]); grid on

>> ezplot(y,[4,5]); grid on

>> ezplot(y,[4.6,4.7]); grid on

>> x=fzero(y,-4.76)

x = -1.853927459696150

>> x=fzero(y,-4.75)

x = -4.712388980384692

>> x=fzero(y,-1)

x = -1.570796326794896

>> x=fzero(y,4.6)

x = 1.570796326794896

4.6 4.61 4.62 4.63 4.64 4.65 4.66 4.67 4.68 4.69 4.7

-40

-30

-20

-10

0

10

X: 4.667Y: -0.006123

x

x2-tan(x)

x4−3x3+8 x2−x−9

>>syms x

>> f='x^4-3*x^3-8*x^2-x-9';

>> ezplot (f,[-5,5]); grid on

>> x=fzero(f,-2)

x = -1.972272833367676

>> x=fzero(f,5)

x = 4.793964895850145

>> x=solve(f)

x = 4.7939648958501457630762715993474

-1.9722728333676757676021949867876

0.08915396875876500226296169372014 - 0.9715596770591439974297126823469*i

0.9715596770591439974297126823469*i + 0.08915396875876500226296169372014

x2+10 cos ( x )=0

>>syms x

>> f='x^2+10*cos(x)';

>> ezplot (f,[-5,5]);grid on

ezplot (f,[0,5]);grid on


>> x=fzero(f,-3);

>> x=fzero(f,-3)

x = -3.161950024710256

>> x=fzero(f,-2)

x = -1.968872937819828

>> x=fzero(f,2)

x = 1.968872937819828

>> x=fzero(f,3)

x = 3.161950024710256

-5 -4 -3 -2 -1 0 1 2 3 4 5

-100

0

100

200

300

400

500

X: -1.905Y: -2.208

x

x4-3 x3-8 x2-x-9

-5 -4 -3 -2 -1 0 1 2 3 4 5

0

5

10

15

20

25

X: 3.176Y: 0.08968

x

x2+10 cos(x)

sen ( x )−log ( x )=0

>>syms x

f='sin(x)-log(x)';


>> x=fzero(f,2)

x = 2.219107148913746

x3−9 x2−9 x+19=0

>> syms x

>> f='x^3-9*x^2-9*x+19';


>> x=fzero(f,-2)

x = -1.806263130685724

>> x=fzero(f,1)

x = 1.081687820602189



>> ezplot (f,[8,10]);grid on

>> x=fzero(f,9.6)

x = 9.724575310083536

-5 -4 -3 -2 -1 0 1 2 3 4 5-3

-2

-1

0

1

2

3

4

x

sin(x)-log(x)

-5 0 5 10-300

-250

-200

-150

-100

-50

0

x

x3-9 x2-9 x+19

1(x+1)

−x2+100 x−100

>> syms x

>> f='(1/(x+1))-x^2+100*x-100';


>> x=fzero(f,1)

x = 1.005115323826751

5ex−2 x−10=0

>> syms x

>> f='5*exp(x)-2*x-10';





>> x=fzero(f,-5)

x = -4.982863991332290

-5 -4 -3 -2 -1 0 1 2 3 4 5

-600

-400

-200

0

200

400

X: 1.005Y: -0.04852

x

(1/(x+1))-x2+100 x-100

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5

0

50

100

150

200

250

300

X: -5.594Y: 1.206

x

5 exp(x)-2 x-10

5ex−2 x−10=0

>> syms x

>> f='5*exp(x)-2*x-10';

>> ezplot(f,[-5,5]);




>> x=fzero(f,-5)

x = -4.982863991332290

>> x=fzero(f,1)

x = 0.850182048243230

(x2+1 ) cos(x )=1

>> syms x

>> f='(x^2+1)*cos(x)-1';

>> ezplot(f,[-5,5]);grid on

>> x=fzero(f,-5)

x = -4.754760631452614

>> x=fzero(f,-1)

x = -1.102505824406416

>> x=fzero(f,1)

x = 1.102505824406416

>> x=fzero(f,5)

x = 4.754760631452614

>> x=fzero(f,0)

x = 0

>> x=solve(f)

x = 0

-6 -5 -4 -3 -2 -1 0 1 2

-6

-4

-2

0

2

4

6

8

X: 0.8545Y: 0.04203

x

5 exp(x)-2 x-10

-5 -4 -3 -2 -1 0 1 2 3 4 5

-14

-12

-10

-8

-6

-4

-2

0

2

4

6

X: 1.097Y: 0.005347

x

(x2+1) cos(x)-1

x3−4 x2−4 x+16−log (x )=0

>> syms x

>> f='x^3-4*x^2-4*x+16-log(x)';




>> x=fzero(f,2)

x = 1.919995784680161

>> x=fzero(f,4)

x = 4.109652550449433

-5 -4 -3 -2 -1 0 1 2 3 4 5

-5

0

5

10

15

20

X: 4.099Y: -0.1393

x

x3-4 x2-4 x+16-log(x)

deber matlab 22-10-15

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