taller 1 fabio garzon d7302069
TRANSCRIPT
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8/17/2019 Taller 1 Fabio Garzon D7302069
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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
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8/17/2019 Taller 1 Fabio Garzon D7302069
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8/17/2019 Taller 1 Fabio Garzon D7302069
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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
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30 -1.5730693005 0.000000689
31 -1.5730693098 -3.9326-007
32 -1.5730693052 1.47871-007
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8/17/2019 Taller 1 Fabio Garzon D7302069
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ecante Neton
F(X) ,,$, X F(X) F'(X) Xn+12641.594 1 -1.7 -18.05285 170.4025 -1.594058
-95 2 -1.594058 -2.523248 124.2908 -1.573756
-39.683 -1.0554-01 3 -1.573756 -0.07994 116.4672 -1.57307
-13.48211 -8.1914-02 4 -1.57307 -8.9-005 116.208 -1.573069
-3.47457 -4.4005-02
-0.477419 -1.5515-02
-0.021311 -2.4776-03
-0.000141 -1.1578-04
-4.2-008 -7.6868-07
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8/17/2019 Taller 1 Fabio Garzon D7302069
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8/17/2019 Taller 1 Fabio Garzon D7302069
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,,$,
-0.0128998085 0.105942
-0.0004363254 0.020301
-4.86563-007 0.000686
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8/17/2019 Taller 1 Fabio Garzon D7302069
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8/17/2019 Taller 1 Fabio Garzon D7302069
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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
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8/17/2019 Taller 1 Fabio Garzon D7302069
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e= 2.7182818285
65/24= 2.7083333333
!" 0.00#$$00.003660
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8/17/2019 Taller 1 Fabio Garzon D7302069
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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
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8/17/2019 Taller 1 Fabio Garzon D7302069
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22/7 3.1428571429
3.1415926536
Error re&ati'o a(so&uto 0.0004024))4#47707010
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8/17/2019 Taller 1 Fabio Garzon D7302069
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. e,c$ 3.1415926536
.,$xa$ 3.1416
,,$, c$et$ -0.0000073464
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8/17/2019 Taller 1 Fabio Garzon D7302069
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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!