Planilha Cálculo numérico

Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original

Localização dos Intervalos
	LOCALIZAÇÃO DOS INTERVAOS TABELA DE SINAIS
	Início	Intervalo
	X0=	-5	P=	1
	X	-5	-4	-3	-2	-1	0	1	2	3	4	5	6	7	8	9	10	11	12
	f(x)	502	178	38	-2	-2	2	-2	-2	38	178	502	1118	2158	3778	6158	9502	14038	20018
	Sinais	+	+	+	-	-	+	-	-	+	+	+	+	+	+	+	+	+	+
	Conclusão:
Método da Bisseção
	LOCALIZAÇÃO DOS INTERVAOS TABELA DE SINAIS
	Método da Bisseção
	[−4,−3], 𝐼_2=[0 , 1] ,𝐼_3= [2 , 3]
	A0=	-4	ɛ=	0.1
	B0=	-3
	Conclusão
	A	B	Xm	f(a)	f(Xm)	Erro	Critério de parada	Para ɛ=0,1
	-4	-3	-3.5	-25	-8.375	1	CONTINUA	[-4,-3]
	-3.5	-3	-3.25	-8.375	-2.078125	0.5	CONTINUA	A0	B0
	-3.25	-3	-3.125	-2.078125	0.607421875	0.25	CONTINUA	-3.1875	-3.125
	-3.25	-3.125	-3.1875	-2.078125	-0.6979980469	0.125	CONTINUA	[0,1]
	-3.1875	-3.125	-3.15625	-0.6979980469	-0.0360412598	0.0625	PARA	A0	B0
	-3.15625	-3.125	-3.140625	-0.0360412598	0.2879905701	0.03125	PARA	0.3125	0.375
	-3.15625	-3.140625	-3.1484375	-0.0360412598	0.1265511513	0.015625	PARA	[2,3]
	-3.15625	-3.1484375	-3.15234375	-0.0360412598	0.0453992486	0.0078125	PARA	A0	B0
	-3.15625	-3.15234375	-3.154296875	-0.0360412598	0.0047150925	0.00390625	PARA	2.8125	2.875
	-3.15625	-3.154296875	-3.1552734375	-0.0360412598	-0.0156540563	0.001953125	PARA
	-3.1552734375	-3.154296875	-3.1547851562	-0.0156540563	-0.0054672254	0.0009765625	PARA
	-3.1547851562	-3.154296875	-3.1545410156	-0.0054672254	-0.0003755024	0.0004882812	PARA
	-3.1545410156	-3.154296875	-3.1544189453	-0.0003755024	0.002169936	0.0002441406	PARA
	-3.1545410156	-3.1544189453	-3.1544799805	-0.0003755024	0.0008972521	0.0001220703	PARA
	-3.1545410156	-3.1544799805	-3.154510498	-0.0003755024	0.0002608836	0.0000610352	PARA
	-3.1545410156	-3.154510498	-3.1545257568	-0.0003755024	-0.0000573072	0.0000305176	PARA
	-3.1545257568	-3.154510498	-3.1545181274	-0.0000573072	0.0001017888	0.0000152588	PARA
Método de Newton
	X0=	1	Ꜫ=	0.1
	n	Xn	f(Xn)	f`(Xn)	Erro	Critério de parada	Conclusão
	0	1	-5	-6	5	Continua
	1	0.1666666667	1.5046296296	-8.9166666667	1.5046296296	Continua	X0=-4
	2	0.3354101765	0.0190420516	-8.6625000404	0.0190420516	Para	X0=0
	3	0.3376083932	0.0000048729	-8.6580617186	0.0000048729	Para	X0=-4
	4	0.337608956	0	-8.6580605786	0	Para
	5	0.337608956	0	-8.6580605786	0	Para
	6	0.337608956	0	-8.6580605786	0	Para
	7	0.337608956	0	-8.6580605786	0	Para
	8	0.337608956	0	-8.6580605786	0	Para
	9	0.337608956	0	-8.6580605786	0	Para
	10	0.337608956	0	-8.6580605786	0	Para
	11	0.337608956	0	-8.6580605786	0	Para
Método de Euler 15.04.16
	Método de Euler
	PVI
	Solução Exata	Conclusão
	Tabela Comparativa
	x	y	Erro	h=0,5	h=0,1
	h=	0.5	2	1	0	X	y(método)	y(Exata)	X	y(método)	y(Exata)
	n	Xn	yn	y´n	2.5	1.8027756377	-0.1972243623	2	1	1	2	1	2
	0	2	1	2	3	2.4494897428	-0.1755102572	2.5	2	2	2.1	1.2	1.75
	1	2.5	2	1.25	3.5	3.0413812651	-0.1550473063	3	2.625	2.625	2.2	1.375	1.6
	2	3	2.625	1.1428571429	4	3.6055512755	-0.1383633295	3.5	3.1964285714	3.1964285714	2.3	1.535	1.4983713355
	3	3.5	3.1964285714	1.094972067	4.5	4.1533119315	-0.124802892	4	3.7439146049	3.7439146049	2.4	1.6848371336	1.4244700287
	4	4	3.7439146049	1.068400437	5	4.6904157598	-0.1136316514	2.5	1.8272841364	1.3681506615
	5	4.5	4.2781148234	1.0518651756	5.5	5.2201532545	-0.1042886879	2.6	1.9640992026	1.3237620567
	6	5	4.8040474112	1.0407890622	6	5.7445626465	-0.0963653482	2.7	2.0964754082	1.2878758269
	7	5.5	5.3244419424	1.0329721048	6.5	6.2649820431	-0.0895629664	2.8	2.2252629909	1.2582782401
	8	6	5.8409279947	1.0272340295	7	6.7823299831	-0.0836599835	2.9	2.3510908149	1.2334700053
	9	6.5	6.3545450095	1.0228899143	7.5	7.2972597597	-0.0784891808	3	2.4744378155	1.2123966023
	10	7	6.8659899666	1.0195179477	8	7.8102496759	-0.0739222099	3.1	2.5956774757	1.1942932159
	11	7.5	7.3757489405	1.0168458906	-8.3915174965	3.2	2.7151067973	1.1785908397
	12	8	7.8841718858	1.0146912213	-8.8979813156	3.3	2.8329658813	1.1648569514
	13	8.5	8.3915174965	1.0129276384	-9.4037140027	3.4	2.9494515764	1.1527566776
	14	9	8.8979813156	1.0114653741	-9.9088335755	3.5	3.0647272442	1.1420265887
	15	9.5	9.4037140027	1.0102391457	-10.4134338357	3.6	3.178929903	1.1324565529
	16	10	9.9088335755	1.0092005203	-10.9175903015	3.7	3.2921755583	1.1238768815
	17	10.5	10.4134338357	1.0083129317	-11.4213644722	3.8	3.4045632465	1.1161490402
	18	11	10.9175903015	1.0075483414	-11.9248069474	3.9	3.5161781505	1.1091588176
	19	11.5	11.4213644722	1.0068849504	0	4	3.6270940323	1.1028112214
	20	12	11.9248069474	1.0063055992	0
Método de Euler 22.04.16 Ex1
	Método de Euler
	PVI
	Solução Exata	Conclusão
	Tabela Comparativa
	x	y	Erro	h=0,25	h=0,1
	h=	0.5	0	1	0	X	y(método)	y(Exata)	X	y(método)	y(Exata)
	n	Xn	yn	y´n	0.5	0.6323366622	0.1323366622	0	1	1	0	1	1
	0	0	1	-1	1	0.513417119	0.200917119	0.25	0.75	0.7828676187	0.1	0.9	0.9051390808
	1	0.5	0.5	-0.375	1.5	0.6872892788	0.3747892788	0.5	0.57421875	0.6323366622	0.2	0.8109	0.8209169487
	2	1	0.3125	0	2	1.9477340411	1.4399215411	0.75	0.4665527344	0.5436905695	0.3	0.7330536	0.747515678
	3	1.5	0.3125	0.390625	2.5	15.0042475848	13.7347163348	1	0.4155235291	0.513417119	0.4	0.6663457224	0.6847738326
	4	2	0.5078125	1.5234375	3	403.4287934927	398.8267427115	1.25	0.4155235291	0.5493836127	0.5	0.6103726817	0.6323366622
	5	2.5	1.26953125	6.6650390625	3.5	48613.991853143	48590.9815992368	1.5	0.4739565253	0.6872892788	0.6	0.5645947306	0.5897833576
	6	3	4.6020507812	36.81640625	4	33710952.190257095	33710799.747324966	1.75	0.6220679395	1.0371310893	0.7	0.5284606678	0.5567345817
	7	3.5	23.0102539062	258.8653564453	4.5	172730774065.04282	172730772769.2779	2	0.9428217208	1.9477340411	0.8	0.5015091738	0.5329469806
	8	4	152.4429321289	2286.6439819336	5	8397132443185061	8397132443171293	0.9	0.4834548435	0.5184042167
	9	4.5	1295.7649230957	24943.4747695923	5.5	4973114881236194000000	4973114881236194000000	1	0.4742692015	0.513417119
	10	5	13767.5023078918	330420.0553894043	6	46071866343312920000000000000	46071866343312920000000000000	1.1	0.4742692015	0.5187499347
	11	5.5	178977.530002594	5235092.752575874	6.5	8572876456968108000000000000000000000	8572876456968108000000000000000000000	1.2	0.4842288547	0.5357969577
	12	6	2796523.906290531	97878336.72016859	7	41140957107580850000000000000000000000000000000	41140957107580850000000000000000000000000000000	1.3	0.5055349243	0.5668465387
	13	6.5	51735692.26637483	2134097305.9879615	7.5	6538120241708053000000000000000000000000000000000000000000	6538120241708053000000000000000000000000000000000000000000	1.4	0.5404168341	0.6154919986
	14	7	1118784345.2603555	53701648572.49706	8	44181018452877570000000000000000000000000000000000000000000000000000000	44181018452877570000000000000000000000000000000000000000000000000000000	1.5	0.5922968502	0.6872892788
	15	7.5	27969608631.50889	1545320876890.8662	8.5	16300332751935248000000000000000000000000000000000000000000000000000000000000000000000	16300332751935248000000000000000000000000000000000000000000000000000000000000000000000	1.6	0.6663339565	0.7908344172
	16	8	800630047076.942	50439692965847.34	9	421607924620832900000000000000000000000000000000000000000000000000000000000000000000000000000000000000	421607924620832900000000000000000000000000000000000000000000000000000000000000000000000000000000000000	1.7	0.7702820537	0.9395696447
	17	8.5	26020476530000.613	1853958952762543.8	9.5	981626398491018000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000	981626398491018000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000	1.8	0.9158653618	1.1548841085
	18	9	952999952911272.5	76239996232901792	10	264169383125403300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000	264169383125403300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000	1.9	1.1210192028	1.4715751141
	19	9.5	39072998069362168	3487265077690573300	10.5	10550939783553633000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10550939783553633000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000	2	1.4136052148	1.9477340411
	20	10	1782705536914648830	176487848154550240000
Método de Euler 22.04.16 Ex2
	Método de Euler
	PVI
	Conclusão
	Tabela Comparativa
	h=0,5	h=0,25	h=0,125
	h=	0.125	39.70625	49.0879142992	55.2985085482
	n	Xn	yn	y´n
	0	0	3	7
	1	0.125	3.875	8.3127170139
	2	0.25	4.9140896267	9.8156684028
	3	0.375	6.1410481771	11.5320430871
	4	0.5	7.582553563	13.4850714173
	5	0.625	9.2681874901	15.6980156129
	6	0.75	11.2304394417	18.1941629334
	7	0.875	13.5047098084	20.9968206706
	8	1	16.1293123923	24.1293123923
	9	1.125	19.1454764413	27.6149750697
	10	1.25	22.597348325	31.4771568444
	11	1.375	26.5319929306	35.7392152639
	12	1.5	30.9993948385	40.4245158708
	13	1.625	36.0524593224	45.5564310611
	14	1.75	41.747013205	51.1583391491
	15	1.875	48.1418055987	57.2536235958
	16	2	55.2985085482	63.8656723654
	17	2.125	63.2817175938	71.0178773851
	18	2.25	72.158952267	78.7336340874
	19	2.375	82.0006565279	87.0363410212
	20	2.5	92.8801991555	95.9493995174
Método de Euler 22.04.16 Ex3
	Método de Euler
	PVI
	Conclusão
	Tabela Comparativa
	h=0,1	h=0,05	h=0,025
	h=	0.1	2	2.0012195122	2.0018072289
	n	Xn	yn	y´n
	0	2	2	0
	1	2.1	2	0.0476190476
	2	2.2	2.0047619048	0.0887445887
	3	2.3	2.0136363636	0.1245059289
	4	2.4	2.0260869565	0.1557971014
	5	2.5	2.0416666667	0.1833333333
	6	2.6	2.06	0.2076923077
	7	2.7	2.0807692308	0.2293447293
	8	2.8	2.1037037037	0.2486772487
	9	2.9	2.1285714286	0.2660098522
	10	3	2.1551724138	0.2816091954
	11	3.1	2.1833333333	0.2956989247
	12	3.2	2.2129032258	0.3084677419
	13	3.3	2.24375	0.3200757576
	14	3.4	2.2757575758	0.3306595365
	15	3.5	2.3088235294	0.3403361345
	16	3.6	2.3428571429	0.3492063492
	17	3.7	2.3777777778	0.3573573574
	18	3.8	2.4135135135	0.3648648649
	19	3.9	2.45	0.3717948718
	20	4	2.4871794872	0.3782051282
Método de Euler 22.04.16 Ex4
	Método de Euler
	PVI
	Conclusão
	Tabela Comparativa
	h=0,1	h=0,05	h=0,025
	h=	0.1	2	2.0012195122	2.0018072289
	n	Xn	yn	y´n
	0	2	2	0
	1	2.1	2	0.0476190476
	2	2.2	2.0047619048	0.0887445887
	3	2.3	2.0136363636	0.1245059289
	4	2.4	2.0260869565	0.1557971014
	5	2.5	2.0416666667	0.1833333333
	6	2.6	2.06	0.2076923077
	7	2.7	2.0807692308	0.2293447293
	8	2.8	2.1037037037	0.2486772487
	9	2.9	2.1285714286	0.2660098522
	10	3	2.1551724138	0.2816091954
	11	3.1	2.1833333333	0.2956989247
	12	3.2	2.2129032258	0.3084677419
	13	3.3	2.24375	0.3200757576
	14	3.4	2.2757575758	0.3306595365
	15	3.5	2.3088235294	0.3403361345
	16	3.6	2.3428571429	0.3492063492
	17	3.7	2.3777777778	0.3573573574
	18	3.8	2.4135135135	0.3648648649
	19	3.9	2.45	0.3717948718
	20	4	2.4871794872	0.3782051282
Método de Euler Aperfeiçoado
	Método de Euler Aperfeiçoado
	PVI
	h=	0.5
	n	xn	yn	k1	k2
	0	0	1	-0.5	-0.1875
	1	0.5	0.65625	-0.24609375	0
	2	1	0.533203125	0	0.3332519531
	3	1.5	0.6998291016	0.4373931885	1.7058334351
	4	2	1.7714424133	2.65716362	11.6250908375
	5	2.5	8.9125696421	23.3954953104	129.23225981
	6	3	85.2264472023	340.9057888091	2396.9938275637
	7	3.5	1454.1762553887	8179.7414365612	72254.3826896236
	8	4	41671.238318481	312534.2873886077	3409228.1849307297
	9	4.5	1902552.4744781498	18312067.566852193	242575440.49596414
	10	5	132346306.50588632	1588155678.0706358	25162341524.431637
Método de Euler RK3
	Método de Euler Aperfeiçoado RK3
	PVI
	h=	0.5
	n	xn	yn	k1	k2	K3
	0	0	1	-0.5	-0.3515625	-0.3163909912109375
	1	0.5	0.6310831706	-0.236656189	-0.1121651729	-6.4096791902557015E-2
	2	1	0.5126170523	0	0.144173546	0.27642649275501674
	3	1.5	0.68353112	0.42720695	0.9251700511	1.7325218280018038
	4	2	1.8568657161	2.7852985742	6.6005773503	15.795060331695932
	5	2.5	11.696040219	30.7021055749	88.7482739273	284.29390026558434
	6	3	174.454332885	697.81733154	2502.3293373193	10656.63194028551
	7	3.5	5899.9154924606	33187.0246450907	146910.2004167575	813484.85568055266
	8	4	423793.7014105344	3178452.7605790077	17173577.572003454	120671227.79812217
	9	4.5	60486299.19359465	582180629.7383485	3790435370.364227	33047865538.207619
	10	5	16141278468.460243	193695341621.52292	1500634482614.6633	15920207778645.174
	11	5.5	7635044083542.652	111662519721811.28	1017444185109436.8	1.2915550799640666E+16
Método de Euler RK4
	Método de Euler Aperfeiçoado RK4
	PVI
	h=	0.5
	n	xn	yn	k1	k2	K3	K4
	0	0	1	-0.5	-0.3515625	-0.3863525390625	-0.2301177978515625
	1	0.5	0.6323420207	-0.2371282578	-0.1123889138	-0.12603227957151833	0
	2	1	0.5133469132	0	0.1443788194	0.16468209082120211	0.42376812754124027
	3	1.5	0.6869952379	0.4293720237	0.9298587888	1.1879222770447875	2.8123762724053134
	4	2	1.9332136425	2.8998204638	6.8719703699	10.906185118279609	33.703421747092428
	5	2.5	13.9598058404	36.644490331	105.9254798631	219.58960331411399	934.19763661799311
	6	3	284.2718547243	1137.0874188971	4077.5244162014	11107.006612881916	64075.941380284858
	7	3.5	16214.620330949	91207.2393615884	403750.380076698	1424399.0739744778	10804602.707290702
	8	4	2441566.096123389	18311745.720925417	98940651.09837514	442873325.5990591	4286155832.5661316
	9	4.5	900457488.043111	8666903322.414944	56428083015.35785	313890692297.62817	3777493797428.0552
	10	5	755366832717.4501	9064401992609.4	70225510229200.44	476373494612812.87	6978009598640881
	11	5.5	1347467368552303.5	19706710265077440	179563185720615488	1.4609127467939128E+18	2.5589553747843138E+19
Tabela Comparativa
	Comparativo de valores dos métodos
	Para h=0,5
Método de Gauss
	MÉTODO DE GAUSS	Converge para ponto exatos
	Sistema	Equações e iteração
	k	x1	x2	x3	Distância
	0	0	0	0
	1	1.4	2.8	-0.9	3.2572994949804661
	2	0.93	2.7	-2.02	1.2187288459702592
	3	1.062	3.018	-1.896	0.36595628154193455
	4	0.986	2.9668	-2.0178	0.15242270172123262
	5	1.00842	3.00636	-1.98724	5.4786527540992877E-2
	6	0.997452	2.995764	-2.003592	2.235978854998379E-2
	7	1.0012064	3.001228	-1.9982196	8.5330825098550844E-3
	8	0.99957636	2.99940264	-2.00060968	3.4207385076323502E-3
	9	1.00018044	3.000206664	-1.999736064	1.3321306821893794E-3
	10	0.9999322736	2.9999111248	-2.0000980872	5.2914154832457239E-4
	11	1.0000275838	3.0000331627	-1.9999597922	2.0761213501556004E-4
	12	0.9999893467	2.9999864417	-2.0000154656	8.2124654250340077E-5
	13	1.0000042582	3.0000052238	-1.9999938018	3.2317777122675397E-5
	14	0.9999983354	2.9999979087	-2.0000024188	1.2760923197146789E-5
	15	1.0000006601	3.0000008167	-1.9999990397	5.0277784385939042E-6
	16	0.9999997406	2.9999996759	-2.000000377	1.9837431420856704E-6
	17	1.0000001025	3.0000001273	-1.9999998509	7.8198360794705878E-7
	18	0.9999999596	2.9999999497	-2.0000000587	3.0843762414892897E-7
	19	1.0000000159	3.0000000198	-1.9999999768	1.2161036213665681E-7
	20	0.9999999937	2.9999999922	-2.0000000091	4.796027270666832E-8
	21	1.0000000025	3.0000000031	-1.9999999964	1.8911367855017064E-8
	22	0.999999999	2.9999999988	-2.0000000014	7.4577775600208918E-9
	23	1.0000000004	3.0000000005	-1.9999999994	2.940807891548374E-9
	24	0.9999999998	2.9999999998	-2.0000000002	1.1596920992738589E-9
	25	1.0000000001	3.0000000001	-1.9999999999	4.5730559333471468E-10
	26	1	3	-2	1.8033429353127482E-10
	27	1	3	-2	7.1112430867979094E-11
	28	1	3	-2	2.8042785775817824E-11
	29	1	3	-2	1.105845792844253E-11
	30	1	3	-2	4.3607807135417519E-12
	31	1	3	-2	1.7199612506206365E-12
	32	1	3	-2	6.7842853948664674E-13
	33	1	3	-2	2.6759313828696927E-13
	34	1	3	-2	1.0588064915400617E-13
	35	1	3	-2	4.2165826149858321E-14
	36	1	3	-2	1.6612216328933032E-14
	37	1	3	-2	6.2774252210694122E-15
	38	1	3	-2	2.6944360297401985E-15
	39	1	3	-2	1.047382306668854E-15
	40	1	3	-2	0
	41	1	3	-2	0
	42	1	3	-2	0
	43	1	3	-2	0
	44	1	3	-2	0
	45	1	3	-2	0
	46	1	3	-2	0
Método de Gauss 2
	MÉTODO DE GAUSS	Não converge para pontos exatos
	Critério de Convergência
	Sistema	Critério de Linhas
	EQUAÇÕES DE ITERAÇÃO
	10	2	1	0.3
	1	5	1	0.4
	2	3	10	0.5
	k	x1
x2	x3	Distância	Para garantia de convergência do método para solução exata: alfa<1
	0	0	0	0
	1	14	7	-0.9	15.678328992593567
	2	-20.1	-62.55	-5.8	77.614576594863934
	3	332.55	110.4	21.885	393.75142441012196
	4	-559.885	-1666.6925	-100.53	1992.3562470116258
	5	8447.9925	2856.69	611.08475	10104.911768478243
	6	-14880.53475	-42538.504875	-2547.5055	51136.294290460813	Matriz positiva
	7	215254.029875	75683.4265	15736.7584125	259369.7306934552	1	5	1
	8	-394139.8909125	-1084131.5285812502	-65756.733925	1312696.7928719285	10	2	1
	9	5486428.376831251	2003584.821525	404066.5367568751	6658514.0471416311	2	3	10
	10	-10421976.644381875	-27634168.152534693	-1698362.0218237503	33703025.940029167
	11	139869216.78449723	52959071.23282125	10374644.874636782	170963360.26302251
	12	-275169987.038743	-704533399.3598046	-43861565.62674582	865444365.77072918
	13	3566528576.425769	1397780725.007088	266394016.31568998	4390288265.7251863
	14	-7255297627.35113	-17965839883.28669	-1132639933.6872802	22226538674.295479
	15	90961839364.12073	36842808110.59929	6840811489.556233	112757127585.43504
	16	-191054852028.5527	-458229602558.3818	-29245210306.90393	570904814306.86963
	17	2320393223112.8125	969896865303.2156	175679851172.32507	2896361669950.8325
	18	-5025164177674.403	-11689806041143.225	-755047704214.4271	14665999624645.584
	19	59204077909944.555	25503344740486.23	4511974647876.947	74407442696765.328
	20	-132028698350294.11	-298276376873654.25	-19491819004135.68	376801625466792.87
	21	1510873703372421	669889401253545.4	115888652732154.2	1911753422293380.2
	22	-3465335658999867	-7612312843228175	-503141561050548.7	9681979758408686
	23	38564705777191440	17578249075524618	2976760984768425	4.9124316938140456E+16
	24	-90868006362391504	-194311909378341408	-12986415878095676	2.488073335674969E+17
	25	984545962769802620	460833239751005310	76467174085980720	1.2624311134433574E+18
	26	-2380633372841007100	-4960963400892003300	-335159164479262080	6.3945091301764874E+18
Método de Gauss Seidel
	MÉTODO DE GAUSS Seidel	Converge para ponto exatos
	Sistema	Equações e iteração	Critério de convergência
	Critério de Sassenfeld
	10	2	1
	1	5	1
	k	x1	x2	x3	Distância	2	3	10
	0	0	0	0
	1	1.4	2.52	-1.936	3.4725345210667093	β1	0.3
	2	1.0896	2.96928	-2.008704	0.55089613360051803	β2	0.26
	3	1.0070144	3.00033792	-2.001504256	8.8525770461216347E-2	β3	0.138
	4	1.0000828416	3.0002842829	-2.0001018532	7.0722070424713577E-3
	5	0.9999533287	3.0000297049	-1.9999995772	3.0338738927548729E-4
	6	0.9999940167	3.0000011121	-1.999999137	4.9731832301441758E-5
	7	0.9999996913	2.9999998891	-1.999999905	5.8554095808940343E-6
	8	1.0000000127	2.9999999785	-1.9999999961	3.4578516856783932E-7
	9	1.0000000039	2.9999999984	-2.0000000003	2.2211023503464952E-8
	10	1.0000000003	3	-2.0000000001	3.9038630607481681E-9
	11	1	3	-2	3.4298817361121386E-10
	12	1	3	-2	1.5205570415539176E-11
	13	1	3	-2	2.0629736598354826E-12
	14	1	3	-2	2.6892409154790402E-13
	15	1	3	-2	1.7564345809042703E-14
	16	1	3	-2	9.9301366129890925E-16
	17	1	3	-2	2.2204460492503131E-16
	18	1	3	-2	0
	19	1	3	-2	0
	20	1	3	-2	0
	21	1	3	-2	0
	22	1	3	-2	0
	23	1	3	-2	0