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  • Publicado : 8 de septiembre de 2010
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x | Y |
2 | 15 |
2.5 | 2.9 |
3 | 48 |
3.5 | 90 |
4 | 150 |
INTERPOLACION
PARA ENCONTRAR UN POLINOMIO PARA:

x0=2
fx0=15

p4=fx0l0+fx1l1+fx2l2+fx3l3+fx4l4
l0=1=01≠01=4x-x1x0-x1=x-x1x0-x1 x-x2x0-x2 x-x3x0-x3 x-x4x0-x4
l1= 1=11≠11=4x-x1x1-x1=x-x0x1-x0 x-x2x1-x2 x-x3x1-x3 x-x4x1-x4
l2= 1=21≠21=4x-x1x2-x1=x-x0x2-x0 x-x1x2-x1 x-x3x2-x3 x-x4x2-x4
l3=1=31≠31=4x-x1x3-x1=x-x0x3-x0 x-x1x3-x1 x-x2x3-x2 x-x4x3-x4
l4= 1=41≠41=4x-x1x4-x1=x-x0x4-x0 x-x1x4-x1 x-x2x4-x2 x-x3x4-x3
p4=15x-2.52-2.5x-32-3x-3.52-3.5x-42-4+29x-22.5-2x-32.5-3x-3.52.5-3.5x-42.5-4+48x-23-2x-2.53-2.5x-3.53-3.5x-43-4+90x-23.5-2x-2.53.5-2.5x-53.5-3x-43.5-4+150x-24-2x-2.54-2.5x-2.54-3.5x-34-3

Resultado=
185322246.7x4-1686806675x3+3756758213x2-1.16622781010+8545531786

ENCONTRAR UN POLINOMIODE 2°,3°,4°,5° Y 6° GRADO PARA:
X | Y |
2 | 15 |
2.5 | 29 |
3 | 48 |
3.5 | 90 |
4 | 150 |

Y=1+X3 EN 2,4
P2=Fx0l0+fx1l1+fx2l2
l0= 1=01≠01=2x-x1x0-x1=x-x1x0-x1 x-x2x0-x2
L1=1=11≠11=4x-x1x2-x1=x-x0x1-x0 x-x2x1-x2
l2= 1=21≠21=2x-x1x2-x1=x-x0x2-x0 x-x1x2-x1
p2= 1+23 x-22-3 x-42-4+1+33 x-23-2 x-43-4+1+43 x-24-2 x-34-3
Resultado=
45x2-502.0004996x + 904.9999999p3=fx0l0+fx1l1+fx2l2+fx3l3
l0= 1=01≠01=3x-xx0-x1=x-x1x0-x1 x-x2x0-x2 x-x3x0-x3
l1= 1=11≠11=3x-x1x1-x1=x-x0x1-x0 x-x2x1-x2 x-x3x1-x3
l2= 1=21≠21=3x-x1x2-x1=x-x0x2-x0 x-x1x2-x1 x-x3x2-x3
l3=1=31≠31=3x-x1x3-x1=x-x0x3-x0 x-x1x3-x1x-x2x3-x2
p3=1+23 x-2.52-2.5x-32-3x-42-4+1+2.53 x-22.5-2x-32.5-3x-42.5-4+1+33 x-23-2x-2.53-2.5x-43-4+1+43 x-24-2x-2.54-2.5x-34-3
Resultado 0,1,2,315.18737417x3-190.0419524x2+684.037041x-2620.2337699
p4=fx0l0+ fx1l1+fx2l2+fx3l3+fx4l4
l0= 1=01≠01=4x-x1x0-x1=x-2.52-2.5 x-32-3 x-3.52-3.5 x-42-4
l1= 1=11≠11=4x-x1x1-x1=x-22.5-2 x-32.5-3 x-3.52.5-3.5 x-42.5-4
l2=1=21≠21=4x-x1x2-x1=x-23-2 x-2.53-2.5 x-3.53-3.5 x-43-4
l3= 1=31≠31=4x-x1x3-x1=x-23.5-2 x-2.53.5-2.5 x-33.5-3 x-43.5-4
l4= 1=41≠41=4x-x1x4-x1=x-24-2 x-2.54-2.5 x-34-3 x-3.54-3.5
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