InterpolacionEjerciciosT12O (7)
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Encontrar los valores solicitados con la siguiente tabla X Y P1 Y( 1.5 ) 0 0 P2 Y( 5.5 ) 1 1 2 8 3 27 4 64 5 125 6 216 NCS Tolerancia MaxiTer 3 0.0005 6 Espaciamiento de la tabla X H H-Hpromedio Checar H 0 1 0* 1 1 0* 2 1 0* 3 1 0* 4 1 0* 5 1 0* 6 1 Hpromedio Se usara el método de Newton porque es equispaciada Diferencias hacia adelante X Y 0 0 1 6 6 0 0 1 1 7 12 6 0 0 2 8 19 18 6 0 3 27 37 24 6 4 64 61 30 5 125 91 6 216 Diferencias hacia atrás Criterio de Convergenci a ΔY Δ2Y Δ3Y Δ4Y Δ5Y
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Transcript of InterpolacionEjerciciosT12O (7)
Newton1Encontrar los valores solicitados con la siguiente tabla
X Y P1Y(1.5)00P2Y(5.5)112832746451256216
Criterio de ConvergenciaNCSToleranciaMaxiTer30.00056Espaciamiento de la tabla
X HH-HpromedioChecar H010*110*210*310*410*510*61HpromedioSe usara el mtodo de Newton porque es equispaciadaDiferencias hacia adelante
X Y Y 2Y 3Y 4Y 5Y 6Y 0016600011712600281918603273724646461305125916216Diferencias hacia atrs
X Y Y 2Y 3Y 4Y 5Y 6Y 0011128763271912646437186051256124600621691306000
Primer PuntoXoP1iSSYDFNHAInterpolaCCChecar CCn1.5100.510100001-0.50.573.510002-1.5-0.2512-1.54.50.777777777813-2.50.37560.37530.524-3.5-0.9375003.3750.111111111135-4.53.28125003.3750#46-5.5-14.765625003.3750#5Y(1.5)=3.375
Segundo PuntoXoP2kSSY DFNHAInterpolaCCChecar CCn5.560-0.51 216000010.5-0.591-45.521600021.5-0.2530-3.75170.50.2668621701132.5-0.3756-0.375166.750.0224887556243.5-0.937500166.3750.0022539444354.5-3.2812500166.3750#465.5-14.76562500166.3750#5-81.210937500Y(5.5)=166.375
Newton2Encontrar los valores solicitados con la siguiente tabla
XYP1Y(1.015)11P2Y(1.055)1.011.0051.021.011.031.01491.041.01981.051.02471.061.0296
Criterio de ConvergenciaNCSToleranciaMaxiTer50.0000056Espaciamiento de la tabla
XHH-HpromedioChecar H10.010*1.010.010*1.020.010*1.030.010*1.040.010*1.050.010*1.060.01HpromedioSe usara el mtodo de Newton porque es equispaciadaDiferencias hacia adelante
XYY 2Y 3Y 4Y 5Y 6Y 110.0050-0.00010.0002-0.00030.00041.011.0050.005-0.00010.0001-0.00010.00011.021.010.00490-001.031.01490.0049-001.041.01980.004901.051.02470.00491.061.0296Diferencias hacia atrs
XYY 2Y 3Y 4Y 5Y 6Y 111.011.0050.0051.021.010.00501.031.01490.0049-0.0001-0.00011.041.01980.004900.00010.00021.051.02470.0049-0-0-0.0001-0.00031.061.02960.00490000.00010.0004
P1XoP1iSSY DSDFNHAInterpolaCCChecar CCn1.0151.0100.511.0050 1-0.50.50.0050.00251.005 02-1.5-0.25-0.00010.00001251.00750.002481389613-2.50.3750.00010.000006251.00751250.000012406824-3.5-0.9375-0.00010.00000390631.007518750.000006203435-4.53.281250.00010.00000273441.00752265620.0000038771#46-5.5-14.765625 1.00752539060.000002714#581.2109375Y(1.015)=1.0075
P2XoP2iSSY DSDFNHAInterpolaCCChecar CCn1.0551.060-0.511.02960 10.5-0.50.0049-0.002451.0296 021.5-0.250-01.027150.0023852407132.5-0.3750-01.027150#243.5-0.93750-01.027150#354.5-3.281250.0001-0.00000273441.027150#465.5-14.7656250.00041.02714726560.0000026621#5-81.2109375Y(1.055)=1.0272
Newton3Encontrar los valores solicitados con la siguiente tablaXYAoPoblacinP1Y(1938)1930123203000P2Y(2000)19401316690001950150697000196017932300019702032120001980226505000
Criterio de ConvergenciaNCSToleranciaMaxiTer60.00000055Espaciamiento de la tabla
XHH-HpromedioChecar H1930100*1940100*1950100*1960100*1970100*198010HpromedioSe usara el mtodo de Newton porque es equispaciadaDiferencias hacia adelante
XYY 2Y 3Y 4Y 5Y 1930123203000846600010562000-964000-13371000318470001940131669000190280009598000-1433500018476000195015069700028626000-47370004141000196017932300023889000-5960001970203212000232930001980226505000Diferencias hacia atrs
XYY 2Y 3Y 4Y 5Y 193012320300019401316690008466000195015069700019028000105620001960179323000286260009598000-964000197020321200023889000-4737000-14335000-13371000198022650500023293000-59600041410001847600031847000
P1XoP1iSSY DSDFNHAInterpolaCCChecar CCChecar Oscilacinn1938193000.811232030000 1-0.20.884660006772800123203000 02-1.2-0.1610562000-8449601299758000.052108161713-2.20.192-964000-308481291308400.006543440724-3.2-0.4224-13371000235329.61290999920.0002389466%35-4.21.3516831847000358724.608129335321.60.00181953084Y(1938)=129100000
P2XoP2iSSY DSDFNHAInterpolaCCChecar CCChecar Oscilacinn200019800212265050000 1322329300046586000226505000 0246-596000-17880002730910000.170587826135244141000165640002713030000.0065904174%24612018476000923800002878670000.0575404614%357720318470001910820003802470000.24294734744Y(1938)=270000000
LagrangeEncontrar los valores solicitados con la siguiente tabla
XYP1X(0.9856455)010.0050.997138540.010.994325850.0150.991561290.020.98884420.0250.986173960.030.98354995
Criterio de ConvergenciaNCSToleranciaMaxiTer20.0055La tabla no esta igualmente espaciada en Y. Se usara el mtodo de Interpolacin de LagrangePara el primer punto es una interpolacin inversa. Se invierten las variablesn1NXYiX-XjX0-XjX1-XjX2-XjX3-XjX4-XjX5-XjX6-XjL0L1LL0L1L2L100-0.01435450-0.00286146-0.00567415-0.00843871-0.0111558-0.01382604-0.016450050.021.19790730420.021.19790730420.60418378430.997138540.0051-0.011493040.002861460-0.00281269-0.00557725-0.00829434-0.01096458-0.01358859-0.19790730420.025-0.19790730420.0250.20139404960.994325850.012-0.008680350.005674150.002812690-0.00276456-0.00548165-0.00815189-0.0107759-0.00395814610.02994768260.02598953650.39581621570.79860595040.030.991561290.0153-0.005915790.008438710.005577250.002764560-0.00271709-0.00538733-0.00801134-0.00156669840.02391639750.00365037060.02600006970.98884420.024-0.00319870.01115580.008294340.005481650.002717090-0.00267024-0.005294250.986173960.0255-0.000528460.013826040.010964580.008151890.005387330.002670240-0.002624010.983549950.0360.002095550.016450050.013588590.01077590.008011340.005294250.002624010ccChecar CCPunto 1XoP10.000405121#0.98564550.9888442X(0.9856455)=0.0260
