Exercicio 1 - Bisseção

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1 a)
	Método Bisseção
	f(X) =(x^3) + (3x^2) + 1	|f(x)| < 0,01
	Intervalo:	[-4 ; 2]
	k	a	b	x	f(a)	f(b)	f(x)
	0	-4.000	2.000	-1.000	-15.000	21.000	3.000
	1	-4.000	-1.000	-2.500	-15.000	3.000	4.125
	2	-4.000	-2.500	-3.250	-15.000	4.125	-1.641
	3	-3.250	-2.500	-2.875	-1.641	4.125	2.033
	4	-3.250	-2.875	-3.063	-1.641	2.033	0.414
	5	-3.250	-3.063	-3.156	-1.641	0.414	-0.557
	6	-3.156	-3.063	-3.109	-0.557	0.414	-0.057
	7	-3.109	-3.063	-3.086	-0.057	0.414	0.182
	8	-3.109	-3.086	-3.098	-0.057	0.182	0.063
	9	-3.109	-3.098	-3.104	-0.057	0.063	0.003
	10	-3.109	-3.104	-3.106	-0.057	0.003	-0.027
	11	-3.106	-3.104	-3.105	-0.027	0.003	-0.012
	12	-3.105	-3.104	-3.104	-0.012	0.003	-0.005
	13	-3.104	-3.104	-3.104	-0.005	0.003	-0.001
	14	-3.104	-3.104	-3.104	-0.001	0.003	0.001
	15	-3.104	-3.104	-3.104	-0.001	0.001	0.000
	16	-3.104	-3.104	-3.104	-0.001	0.000	-0.000
1 b)
	Método Bisseção
	f(X) = (e^-x) - 3x	|f(x)| < 0,01
	Intervalo:	[-2 ; 2]
	k	a	b	x	f(a)	f(b)	f(x)
	0	-2.000	2.000	0.000	13.389	-5.865	1.000
	1	0.000	2.000	1.000	1.000	-5.865	-2.632
	2	0.000	1.000	0.500	1.000	-2.632	-0.893
	3	0.000	0.500	0.250	1.000	-0.893	0.029
	4	0.250	0.500	0.375	0.029	-0.893	-0.438
	5	0.250	0.375	0.313	0.029	-0.438	-0.206
	6	0.250	0.313	0.281	0.029	-0.206	-0.089
	7	0.250	0.281	0.266	0.029	-0.089	-0.030
	8	0.250	0.266	0.258	0.029	-0.030	-0.001
	9	0.250	0.258	0.254	0.029	-0.001	0.014
	10	0.254	0.258	0.256	0.014	-0.001	0.007
	11	0.256	0.258	0.257	0.007	-0.001	0.003
	12	0.257	0.258	0.257	0.003	-0.001	0.001
	13	0.257	0.258	0.258	0.001	-0.001	0.000
	14	0.258	0.258	0.258	0.000	-0.001	-0.000
	15	0.258	0.258	0.258	0.000	-0.000	-0.000
	16	0.258	0.258	0.258	0.000	-0.000	0.000
1 c)
	Método Bisseção
	f(X) = (5 - x).(e^x) - 5	(x>0)	|f(x)| < 0,01
	Intervalo:	[4 ; 5]
	k	a	b	x	f(a)	f(b)	f(x)
	0	-1.000	2.000	0.500	-2.793	17.167	2.419
	1	-1.000	0.500	-0.250	-2.793	2.419	-0.911
	2	-0.250	0.500	0.125	-0.911	2.419	0.524
	3	-0.250	0.125	-0.063	-0.911	0.524	-0.244
	4	-0.063	0.125	0.031	-0.244	0.524	0.126
	5	-0.063	0.031	-0.016	-0.244	0.126	-0.062
	6	-0.016	0.031	0.008	-0.062	0.126	0.031
	7	-0.016	0.008	-0.004	-0.062	0.031	-0.016
	8	-0.004	0.008	0.002	-0.016	0.031	0.008
	9	-0.004	0.002	-0.001	-0.016	0.008	-0.004
	10	-0.001	0.002	0.000	-0.004	0.008	0.002
	11	-0.001	0.000	-0.000	-0.004	0.002	-0.001
	12	-0.000	0.000	0.000	-0.001	0.002	0.000
	13	-0.000	0.000	-0.000	-0.001	0.000	-0.000
	14	-0.000	0.000	0.000	-0.000	0.000	0.000
	15	-0.000	0.000	-0.000	-0.000	0.000	-0.000
	16	-0.000	0.000	0.000	-0.000	0.000	0.000
1 d)
	Método Bisseção
	f(X) = x - cos(x)	|f(x)| < 0,01
	Intervalo:	[0 ; 1]
	k	a	b	x	f(a)	f(b)	f(x)
	0	0.000	1.000	0.500	-1.000	0.460	-0.378
	1	0.500	1.000	0.750	-0.378	0.460	0.018
	2	0.500	0.750	0.625	-0.378	0.018	-0.186
	3	0.625	0.750	0.688	-0.186	0.018	-0.085
	4	0.688	0.750	0.719	-0.085	0.018	-0.034
	5	0.719	0.750	0.734	-0.034	0.018	-0.008
	6	0.734	0.750	0.742	-0.008	0.018	0.005
	7	0.734	0.742	0.738	-0.008	0.005	-0.001
	8	0.738	0.742	0.740	-0.001	0.005	0.002
	9	0.738	0.740	0.739	-0.001	0.002	0.000
	10	0.738	0.739	0.739	-0.001	0.000	-0.001
	11	0.739	0.739	0.739	-0.001	0.000	-0.000
	12	0.739	0.739	0.739	-0.000	0.000	0.000
	13	0.739	0.739	0.739	-0.000	0.000	-0.000
	14	0.739	0.739	0.739	-0.000	0.000	0.000
	15	0.739	0.739	0.739	-0.000	0.000	0.000
	16	0.739	0.739	0.739	-0.000	0.000	-0.000
1 e)
	Método Bisseção
	f(X) = 1 - x - sen(x)	(x>0)	|f(x)| < 0,01
	Intervalo:	[-1 ; 1]
	k	a	b	x	f(a)	f(b)	f(x)
	0	-1.000	1.000	0.000	2.841	-0.841	1.000
	1	0.000	1.000	0.500	1.000	-0.841	0.021
	2	0.500	1.000	0.750	0.021	-0.841	-0.432
	3	0.500	0.750	0.625	0.021	-0.432	-0.210
	4	0.500	0.625	0.563	0.021	-0.210	-0.096
	5	0.500	0.563	0.531	0.021	-0.096	-0.038
	6	0.500	0.531	0.516	0.021	-0.038	-0.009
	7	0.500	0.516	0.508	0.021	-0.009	0.006
	8	0.508	0.516	0.512	0.006	-0.009	-0.001
	9	0.508	0.512	0.510	0.006	-0.001	0.002
	10	0.510	0.512	0.511	0.002	-0.001	0.000
	11	0.511	0.512	0.511	0.000	-0.001	-0.000
	12	0.511	0.511	0.511	0.000	-0.000	-0.000
	13	0.511	0.511	0.511	0.000	-0.000	0.000
	14	0.511	0.511	0.511	0.000	-0.000	0.000
	15	0.511	0.511	0.511	0.000	-0.000	0.000
	16	0.511	0.511	0.511	0.000	-0.000	0.000
1 f)
	Método Bisseção
	f(X) = x - tg(x)	(1º raiz positiva)	|f(x)| < 0,01
	Intervalo:	[1,6 ; 4,6]
	k	a	b	x	f(a)	f(b)	f(x)
	0	1.600	4.600	3.100	35.833	-4.260	3.142
	1	3.100	4.600	3.850	3.142	-4.260	2.993
	2	3.850	4.600	4.225	2.993	-4.260	2.338
	3	4.225	4.600	4.413	2.338	-4.260	1.179
	4	4.413	4.600	4.506	1.179	-4.260	-0.276
	5	4.413	4.506	4.459	1.179	-0.276	0.592
	6	4.459	4.506	4.483	0.592	-0.276	0.204
	7	4.483	4.506	4.495	0.204	-0.276	-0.023
	8	4.483	4.495	4.489	0.204	-0.023	0.094
	9	4.489	4.495	4.492	0.094	-0.023	0.036
	10	4.492	4.495	4.493	0.036	-0.023	0.007
	11	4.493	4.495	4.494	0.007	-0.023	-0.008
	12	4.493	4.494	4.493	0.007	-0.008	-0.000
	13	4.493	4.493	4.493	0.007	-0.000	0.003
	14	4.493	4.493	4.493	0.003	-0.000	0.001
	15	4.493	4.493	4.493	0.001	-0.000	0.000
	16	4.493	4.493	4.493	0.000	-0.000	-0.000