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metodos numericos
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1) localizacion de raices por metodo general.
x F(x)=8x-cos(3x)-2sen(5x) signo-1.5 -9.91320424701974 -
-1 -8.92785605272583 --0.5 -2.87379291345979 -
0 -1 -0.5 2.73231851012438 +
1 10.9078410459267 +1.5 10.3347958458813 +
2 16.1278719351284 +2.5 19.7860084768674 +
3 23.6105545815704 +
2)Localizacion por el metodo de opciones:
Sea la ecuacion:8x-cos(3x)-2sen(5x)=0
Ahora seran las opciones de igualdad de funciones y ademas las graficaremos
1) 8x-cos(3x)=2sen(5x)
Entonces:
x Y1=8x-cos(3x) Y2=2sen(5x)-1.5 -11.7892042006 -1.875999954
-1 -7.0100075034 1.917848549-0.5 -4.07073720167 -1.196944288
0 -1 00.5 3.92926279833 1.196944288
1 8.9899924966 -1.9178485491.5 12.2107957994 1.875999954
2 15.0398297133 -1.088042222
-2 -1 0 1 2 3 4
-15
-10
-5
0
5
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Column CColumn D
F(x)=8x-cos(3x)-2sen(5x)
-2 -1 0 1 2 3 4
-15
-10
-5
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Column CColumn D
2.5 19.6533646822 -0.1326437953 24.9111302619 1.30057568
2) 8x=2sen(5x)+cos(3x)
x Y1=8x Y2=2sen(5x)+cos(3x)-1.5 -12 -2.086795753
-1 -8 0.927856053-0.5 -4 -1.126207087
0 0 10.5 4 1.26768149
1 8 -2.9078410461.5 12 1.665204154
2 16 -0.1278719352.5 20 0.213991523
3 24 0.389445418
3) 8x-2sen(5x)=cos(3x)
x Y1=8x-2sen(5x) Y2=cos(3x)-1.5 -10.1240000465 -0.210795799
-1 -9.91784854933 -0.989992497-0.5 -2.80305571179 0.070737202
0 0 10.5 2.80305571179 0.070737202
1 9.91784854933 -0.9899924971.5 10.1240000465 -0.210795799
2 17.0880422218 0.9601702872.5 20.1326437947 0.346635318
3 22.6994243197 -0.911130262
4) x=(2sen(5x)+cos(3x))/8
x Y1=x Y2=(2sen(5x)+cos(3x))/8
-2 -1 0 1 2 3 4
-15
-10
-5
0
5
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Column CColumn D
-2 -1 0 1 2 3 4
-15
-10
-5
0
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25
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Column CColumn D
-2 -1 0 1 2 3 4
-15
-10
-5
0
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Column CColumn D
-2 -1 0 1 2 3 4
-2
-1
0
1
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Column CColumn D
-1.5 -1.5 -0.260849469-1 -1 0.115982007
-0.5 -0.5 -0.1407758860 0 0.125
0.5 0.5 0.1584601861 1 -0.363480131
1.5 1.5 0.2081505192 2 -0.015983992
2.5 2.5 0.026748943 3 0.048680677
5) (8x-cos(3x))/2=sen(5x)
x Y1=(8x-cos(3x))/2Y2=seno(5x)-1.5 -5.89460210028 -0.937999977
-1 -3.5050037517 0.958924275-0.5 -2.03536860083 -0.598472144
0 -0.5 00.5 1.96463139917 0.598472144
1 4.4949962483 -0.9589242751.5 6.10539789972 0.937999977
2 7.51991485667 -0.5440211112.5 9.82668234108 -0.066321897
3 12.4555651309 0.65028784
6) 24x-3cos(3x)=6sen(5x)
x Y1=24x-3cos(3x) Y2=6sen(5x)-1.5 -35.3676126017 -5.627999861
-1 -21.0300225102 5.753545648-0.5 -12.212211605 -3.590832865
0 -3 00.5 11.787788395 3.590832865
1 26.9699774898 -5.7535456481.5 36.6323873983 5.627999861
2 45.11948914 -3.264126665
-2 -1 0 1 2 3 4
-2
-1
0
1
2
3
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Column CColumn D
-2 -1 0 1 2 3 4
-10
-5
0
5
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Column CColumn D
-2 -1 0 1 2 3 4
-60
-40
-20
0
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Column CColumn D
2.5 58.9600940465 -0.3979313843 74.7333907857 3.901727041
-2 -1 0 1 2 3 4
-60
-40
-20
0
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Column CColumn D
-2 -1 0 1 2 3 4
-15
-10
-5
0
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Column CColumn D
F(x)=8x-cos(3x)-2sen(5x)
-2 -1 0 1 2 3 4
-15
-10
-5
0
5
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25
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Column CColumn D
-2 -1 0 1 2 3 4
-15
-10
-5
0
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30
Column CColumn D
-2 -1 0 1 2 3 4
-15
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-5
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Column CColumn D
-2 -1 0 1 2 3 4
-15
-10
-5
0
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Column CColumn D
-2 -1 0 1 2 3 4
-2
-1
0
1
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Column CColumn D
-2 -1 0 1 2 3 4
-2
-1
0
1
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Column CColumn D
-2 -1 0 1 2 3 4
-10
-5
0
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Column CColumn D
-2 -1 0 1 2 3 4
-60
-40
-20
0
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Column CColumn D
-2 -1 0 1 2 3 4
-60
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Column CColumn D
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