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Plan3 EXEMPLO 1 f(x) = x logx -1 ; ξ Є (2,3) K a f(a) b f(b) x f(x) b-a 0 2 -0.3979 3 0.4314 2.4798 -0.021925577281061 1.00000000000000000 1 2.4798 -0.0219 3 0.4314 2.5049 -0.001069945195166 0.52020000000000000 2 2.5049 -0.0011 3 0.4314 2.5062 0.000013211620934 0.49510000000000000 3 2.5049 -0.0011 2.5062 0 2.5062 0.000013211620934 0.00130000000000008 EXEMPLO 2 f(x) = x3 - 9x +3 ; I [0,1]. Є < 5x10-4 com arredondamento K a f(a) b f(b) x f(x) b-a 0 0 3 1 -5 0.375 -3.222656250000E-01 1.00000000000000000 1 0 3 0.375 -0.3223 0.3386 -8.579523544000E-03 0.37500000000000000 2 0 3 0.3386 -0.0086 0.3376 7.754137599969E-05 0.33860000000000000 sem arredondamento K a f(a) b f(b) x f(x) b-a 0 0 3 1 -5 0.375 -3.222656250000E-01 1.00000000000000000 1 0 3 0.375 -0.322265625 0.3386243386 -8.790199294384E-03 0.37500000000000000 2 0 3 0.3386243386 -0.0087901993 0.3376350455 -2.258841765377E-04 0.33862433862433900 Exercício 1 f(x) = x3 - 9x +3 ; I [2,3]. Є < 5x10-4 com arredondamento K a f(a) b f(b) x f(x) b-a 0 2 -7 3 3 2.7 -1.617000000000E+00 1.00000000000000000 1 2 -7 2.7 -1.617 2.9102731 1.456651665465E+00 0.70000000000000000 2 2.9102731 1.4566517 2.7 -1.617 2.8106214 -9.282843499705E-02 -0.21027310000000000 3 2.9102731 1.4566517 2.8106214 -0.0928284 2.8165915 -4.774518600286E-03 -0.09965169999999990 4 2.9102731 1.4566517 2.8165915 -0.0047745 2.8168976 -2.435806067211E-04 -0.09368160000000000 sem arredondamento K a f(a) b f(b) x f(x) b-a 0 2 -7 3 3 2.7 -1.617000000000E+00 1.00000000000000000 1 2 -7 2.7 -1.617 2.9102730819 1.456651368864E+00 0.70000000000000000 2 2.9102730819 1.4566513689 2.7 -1.617 2.8106213857 -9.282864571774E-02 -0.21027308192457700 3 2.9102730819 1.4566513689 2.8106213857 -0.0928286457 2.8165914736 -4.774908684915E-03 -0.09965169626050980 4 2.9102730819 1.4566513689 2.8165914736 -0.0047749087 2.816897559 -2.441882100079E-04 -0.09368160828242590 Exercício 2 f(x) = x3 - 9x +3 ; I [-4,-3]. Є < 5x10-4 com arredondamento K a f(a) b f(b) x f(x) b-a 0 -4 -25 -3 3 -3.1071429 9.668814330721E-01 1.00000000000000000 1 -3.1071429 0.9668814 -3 3 -3.1580964 -7.463698123120E-02 0.10714290000000000 2 -3.1071429 0.9668814 -3.1580964 -0.074637 -3.154445 1.626661339330E-03 -0.05095349999999990 3 -3.154445 0.0016267 -3.1580964 -0.074637 -3.1545229 2.266626061953E-06 -0.00365139999999986 sem arredondamento K a f(a) b f(b) x f(x) b-a 0 -4 -25 -3 3 -3.1071428571 9.668822886297E-01 1.00000000000000000 1 -3.1071428571 0.9668822886 -3 3 -3.1580963904 -7.463678041930E-02 0.10714285714285700 2 -3.1071428571 0.9668822886 -3.1580963904 -0.0746367804 -3.1544449857 1.626960481513E-03 -0.05095353325843320 3 -3.1544449857 0.0016269605 -3.1580963904 -0.0746367804 -3.1545228823 2.635293370190E-06 -0.00365140474755732 4 -3.1545228823 0.0000026353 -3.1580963904 -0.0746367804 -3.1545230085 4.268287057130E-09 -0.00357350808059476
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