equacao solucao metodo newton 2013 exemplos

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

Plan1
	x2-3 = 0	x2-2 = 0	|f(xn+1)|	x/2 - tan(x) = 0	|f(xn+1)|
	n	xn	xn+1	|f(xn+1)|	n	xn	xn+1	erro	n	xn	xn+1	erro
	0	1	2	1	0	1	1.5	0.25	0	7.5	7.6334592085	-0.6442097024
	1	2	1.75	0.0625	1	1.5	1.4166666667	0.0069444444	1	7.6334592085	7.6018802698	-0.0813262813
	2	1.75	1.7321428571	0.0003188776	2	1.4166666667	1.4142156863	0.0000060073	2	7.6018802698	7.5966576703	-0.0016673245
	3	1.7321428571	1.73205081	0.0000000085	3	1.4142156863	1.4142135624	0	3	7.5966576703	7.5965460687	-0.0000007304
	4	1.73205081	1.7320508076	0	4	1.4142135624	1.4142135624	0	4	7.5965460687	7.5965460198	-0
	5	1.7320508076	1.7320508076	0	5	1.4142135624	1.4142135624	0	5	7.5965460198	7.5965460198	0
	6	1.4142135624	1.4142135624	0	6	7.5965460198	7.5965460198	0
	raiz de três =	1.7320508075688772	7	7.5965460198	7.5965460198	0
	raiz de dois =	1.4142135623746899	raiz da equação =	7.5965460687
	com erro menor que 10^(-5)
	4senx - e(2x)=0	4senx - e(2x)=0	4senx - e(2x)=0	4cosx - e(2x)=0	4cosx - e(2x)=0	4cosx - e(2x)=0
	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro
	0	-3	-3.1531930968	0.003685218	0	0	0.3333333333	0.0868336379	0	-9	-9.4523156598	0.110136869	0	1	0.7118690483	1.1240453632	0	-1	-1.654518347	0.3710483586	0	0	1.5	19.8025881165
	1	-3.1531930968	-3.1522814661	0.0000000365	1	0.3333333333	0.3697535491	0.0018352708	1	-9.4523156598	-9.4247709994	0.0000278518	1	0.7118690483	0.6089177933	0.0987943921	1	-1.654518347	-1.5596910782	0.0002356222	1	1.5	1.0515825277	6.2072664218
	2	-3.1522814661	-3.1522814752	0	2	0.3697535491	0.3705576855	0.0000009358	2	-9.4247709994	-9.4247779624	0	2	0.6089177933	0.5979984494	0.0009962401	2	-1.5596910782	-1.5597513183	0.0000000004	2	1.0515825277	0.7389833836	1.4274081974
	3	-3.1522814752	-3.1522814752	0	3	0.3705576855	0.370558096	0	3	-9.4247779624	-9.4247779624	0	3	0.5979984494	0.5978860788	0.0000001044	3	-1.5597513183	-1.5597513182	0	3	0.7389833836	0.6144515255	0.1491195957
	4	-3.1522814752	-3.1522814752	0	4	0.370558096	0.370558096	0	4	-9.4247779624	-9.4247779624	0	4	0.5978860788	0.597886067	0	4	-1.5597513182	-1.5597513182	0	4	0.6144515255	0.5981382547	0.0022358678
	5	-3.1522814752	-3.1522814752	0	5	0.370558096	0.370558096	0	5	-9.4247779624	-9.4247779624	0	5	0.597886067	0.597886067	0	5	-1.5597513182	-1.5597513182	0	5	0.5981382547	0.5978861263	0.0000005255
	6	-3.1522814752	-3.1522814752	0	6	0.370558096	0.370558096	0	6	-9.4247779624	-9.4247779624	0	6	0.597886067	0.597886067	0	6	-1.5597513182	-1.5597513182	0	6	0.5978861263	0.597886067	0
	7	-3.1522814752	-3.1522814752	0	7	0.370558096	0.370558096	0	7	-9.4247779624	-9.4247779624	0	7	0.597886067	0.597886067	0	7	-1.5597513182	-1.5597513182	0	7	0.597886067	0.597886067	0
	8	-3.1522814752	-3.1522814752	0	8	0.370558096	0.370558096	0	8	-9.4247779624	-9.4247779624	0	8	0.597886067	0.597886067	0	8	-1.5597513182	-1.5597513182	0	8	0.597886067	0.597886067	0
	e^(-x^2)-cosx=0	e^(-x^2)-cosx=0	e^(-x^2)-cosx=0	e^(-x^2)-cosx=0	xlog(x) -1 = 0	x^3-x-1=0
	n	xn	xn+1	|f(xn+1)|	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro	n	xn	xn+1	erro
	0	1.5	1.4491234998	0.001088623	0	0.5	0.1700402567	0.0140776433	0	-4	-4.8636902757	0.1507246887	0	-2	-1.4803297202	0.0214195906	0	2	2.5411760669	0.0292646293	0	1	1.5	0.875
	1	1.4491234998	1.447416347	0.0000013204	1	0.1700402567	0.0826917024	0.0033975812	1	-4.8636902757	-4.7112237759	0.0011652045	1	-1.4803297202	-1.4481207277	0.0004496273	1	2.5411760669	2.5063093805	0.0001043605	1	1.5	1.347826087	0.1006821731
	2	1.447416347	1.4474142713	0	2	0.0826917024	0.0410847047	0.0008426714	2	-4.7112237759	-4.7123889811	0.0000000005	2	-1.4481207277	-1.4474146269	0.0000002262	2	2.5063093805	2.5061841472	0.0000000014	2	1.347826087	1.325200399	0.0020583619
	3	1.4474142713	1.4474142713	0	3	0.0410847047	0.0205105076	0.0002102594	3	-4.7123889811	-4.7123889806	0	3	-1.4474146269	-1.4474142713	0	3	2.5061841472	2.5061841456	0	3	1.325200399	1.324718174	0.0000009244
	4	1.4474142713	1.4474142713	0	4	0.0205105076	0.0102512973	0.0000525395	4	-4.7123889806	-4.7123889806	0	4	-1.4474142713	-1.4474142713	0	4	2.5061841456	2.5061841456	0	4	1.324718174	1.3247179572	0
	5	1.4474142713	1.4474142713	0	5	0.0102512973	0.0051251548	0.0000131333	5	-4.7123889806	-4.7123889806	0	5	-1.4474142713	-1.4474142713	0	5	2.5061841456	2.5061841456	0	5	1.3247179572	1.3247179572	0
	6	1.4474142713	1.4474142713	0	6	0.0051251548	0.0025625157	0.0000032832	6	-4.7123889806	-4.7123889806	0	6	-1.4474142713	-1.4474142713	0	6	2.5061841456	2.5061841456	0
	7	1.4474142713	1.4474142713	0	7	0.0025625157	0.0012812501	0.0000008208	7	-4.7123889806	-4.7123889806	0	7	-1.4474142713	-1.4474142713	0	7	2.5061841456	2.5061841456	0
	8	1.4474142713	1.4474142713	0	8	0.0012812501	0.0006406241	0.0000002052	8	-4.7123889806	-4.7123889806	0	8	-1.4474142713	-1.4474142713	0	8	2.5061841456	2.5061841456	0
	9	0.0006406241	0.0003203119	0.0000000513	9	-1.4474142713	-1.4474142713	0
	10	0.0003203119	0.000160156	0.0000000128	10	-1.4474142713	-1.4474142713	0
	11	0.000160156	0.000080078	0.0000000032	11	-1.4474142713	-1.4474142713	0
	12	0.000080078	0.000040039	0.0000000008	12	-1.4474142713	-1.4474142713	0
	13	0.000040039	0.0000200195	0.0000000002
	14	0.0000200195	0.0000100097	0.0000000001
	15	0.0000100097	0.0000050049	0
	16	0.0000050049	0.0000025024	0
	17	0.0000025024	0.0000012512	0
	18	0.0000012512	0.0000006256	0
	19	0.0000006256	0.0000003127	0
	20	0.0000003127	0.0000001565	0
	21	0.0000001565	0.0000000784	0
	22	0.0000000784	0.0000000388	0
	23	0.0000000388	0.0000000188	0
	24	0.0000000188	0.000000007	0
	25	0.000000007	0.000000007	0
	26	0.000000007	0.000000007	0
	27	0.000000007	0.000000007	0
	28	0.000000007	0.000000007	0
	29	0.000000007	0.000000007	0
	30	0.000000007	0.000000007	0
	31	0.000000007	0.000000007	0
Plan2
Plan3