Taller 1 Fabio Garzon D7302069

8/17/2019 Taller 1 Fabio Garzon D7302069

1/14

X= 8.3

e^-8.3 0.00024852

n (x^n)/n!

0 1

1 8.3

2 34.4453 95.2978333333

4 197.743004167

5 328.253386917

6 454.083851901

7 538.413710112

8 558.604224241

9 515.157229022

10 427.580500088

11 322.628922794

12 223.15167159913 142.473759559

14 84.4665860245

15 46.7381776002

16 24.2454296301

17 11.8374744665

18 5.458391004

19 2.3844550175

20 0.9895488323

21 0.3911073956

22 0.1475541538

23 0.0532478033

24 0.0184148653

25 0.0061137353

Σ 4023.86959426

0.000248517ϵ 0.00120714%

1/Σ


2/14


3/14

F(x) 5x^5+6x^2-18x+5

F'(x) 25x^4+12x-18

Resumen

Método Iteración Raiz Inicio Error

Secante 7 -1.573069307 3.5 -2 -7.68679-07

"e#t$n 4 -1.573070072 -1%7 -4.865633-007&eccn 32 -1.573069305 -5%0 1.478713-007

"e#t$n *. 6 -1.57064243 -2 3.2122-08

Bisección

1 0 5 X2 -5 -15380 3.5

3 -2.5 -400.78125 & -2

4 -1.25 21.61621094 1 -1.8090692124

5 -1.875 -56.02767944 2 -1.6721003805

6 -1.5625 1.207308769 3 -1.6016207162

7 -1.71875 -21.33310661 4 -1.5771505204

8 -1.640625 -8.750339192 5 -1.5732526402

9 -1.6015625 -3.46716084 6 -1.573070516

10 -1.58203125 -1.05668679 7 -1.5730693068

11 -1.572265625 0.093272233

12 -1.5771484375 -0.477173733

13 -1.5747070313 -0.190822789

14 -1.5734863281 -0.048493964

15 -1.5728759766 0.022459379

16 -1.5731811523 -0.012999721

17 -1.5730285645 0.00473422

18 -1.5731048584 -0.004131652

19 -1.5730667114 0.000301559

20 -1.5730857849 -0.001914978

21 -1.5730762482 -0.000806693

22 -1.5730714798 -0.000252563

23 -1.5730690956 2.44989-005

24 -1.5730702877 -0.000114032

25 -1.5730696917 -4.4766-005

26 -1.5730693936 -1.0134-005

27 -1.5730692446 7.18262-006

28 -1.5730693191 -1.4755-006

29 -1.5730692819 2.85354-006


4/14

30 -1.5730693005 0.000000689

31 -1.5730693098 -3.9326-007

32 -1.5730693052 1.47871-007


5/14

ecante Neton

F(X) ,,$, X F(X) F'(X) Xn+12641.594 1 -1.7 -18.05285 170.4025 -1.594058

-95 2 -1.594058 -2.523248 124.2908 -1.573756

-39.683 -1.0554-01 3 -1.573756 -0.07994 116.4672 -1.57307

-13.48211 -8.1914-02 4 -1.57307 -8.9-005 116.208 -1.573069

-3.47457 -4.4005-02

-0.477419 -1.5515-02

-0.021311 -2.4776-03

-0.000141 -1.1578-04

-4.2-008 -7.6868-07


6/14


7/14

,,$,

-0.0128998085 0.105942

-0.0004363254 0.020301

-4.86563-007 0.000686


8/14


9/14

0(x)= 288X^5-720X^4+694X^3-321X^2+71x-6

1(x)= 1440x^4-2880x^3+2082x^2-642x+71

2(x)= 52x^3-78x^2+37x-113(x)= 294x^2/13 -294x/13 +67/13


10/14

e= 2.7182818285

65/24= 2.7083333333

!" 0.00#$$00.003660


11/14

an^-1= (-1^.x^1+2)/(1+2)

an^-1= x-x^3/3+x^5/5-x^7/7+x^9/9-x^11/11


12/14

22/7 3.1428571429

3.1415926536

Error re&ati'o a(so&uto 0.0004024))4#47707010


13/14

. e,c$ 3.1415926536

.,$xa$ 3.1416

,,$, c$et$ -0.0000073464


14/14

Secante

X F(X) +1

1.3 81.45984

-2 -27720 1.2903

1.290331 76.3649680617 1.28131.281291 71.8320959585 1.1380

1.138043 24.0193683644 1.0661

1.06608 12.3076397093 0.9905

0.990455 5.3509587007 0.9323

0.932286 2.4634044665 0.8827

0.882661 1.0974822411 0.8428

0.842789 0.4872356374 0.8110

0.810954 0.2110251482 0.7866

0.786632 0.0882477829 0.7692

0.769151 0.0344216039 0.75800.757971 0.0116640721 0.7522

0.752242 0.0029317759 0.7503

0.750318 0.0003998086 0.7500

0.750014 1.75240545203792-005 0.7500

0.75 0.000000113 0.7500

0.75 3.23652216138726-011 0.7500

0.75 -3.5527136788005-014 0.7500

0.75 0 0.7500

0.75 0 /0!

Documents

Taller 1 Fabio Garzon D7302069