Aplicaciones de analisis numerico usando excel

UNIVERSIDAD TECNOLOGICA CENTROAMERICANAFacultad de IngenieriaTrabajo Nuero !A"ignaturaTeaMae"traAlunaCtaSeccionUNIVERSIDAD TECNOLOGICA CENTROAMERICANAFacultad de IngenieriaTrabajo Nuero !Anali"i"NuericoRe"olucion de A#licacione" Ing$ %aela Orti&Eileen Fabiola Vela"'ue&(()*(+),-.!xi 0xi+1 625i xi f(xi) xi+10 0.000 -7886171376.000 625.0001 625.000 13103.671 624.9992 624.999 13103.579 476.5953 476.595 1992.769 449.9784 449.978 341.014 444.4835 444.483 10.033 444.3176 444.317 0.051 444.3167 444.316 0.000 444.316 1) / ( = 1 ) ( ( + 1 ^4 ^4 )+ 1 ) ( Respesta: ti!i"a#$% e! &et%$% $e !a 'e(a#te) se p*$% $ete+&i#a+ ,*e -1.444.316/(xi+1)13103.6709413103.579241992.76871341.0135410.033320.051120.000010.00000a 0.020 0.15i 1i f(xi) 1i+1 f(xi+1)0 0.02 -2.8003274736 0.15 1.73461281 0.02 -2.8003274736 0.085 0.877779292 0.0525 -0.0662560255 0.085 0.877779293 0.0525 -0.0662560255 0.06875 0.489923424 0.0525 -0.0662560255 0.060625 0.239834135 0.0525 -0.0662560255 0.0565625 0.095036246 0.0525 -0.0662560255 0.05453125 0.016643057 0.05351563 -0.0242165909 0.05453125 0.016643058 0.05402344 -0.0036427641 0.05453125 0.016643059 0.05402344 -0.0036427641 0.05427734 0.0065357210 0.05402344 -0.0036427641 0.05415039 0.0014554311 0.05408691 -0.001091425 0.05415039 0.0014554312 0.05408691 -0.001091425 0.05411865 0.0001825613 0.05410278 -0.0004542918 0.05411865 0.0001825614 0.05411072 -0.0001358303 0.05411865 0.000182561/ . 1.14-22!%3( +9.35/ ))/ ( 1i+2f(1i+2) 0.085 0.8778 0.0525-0.0663 0.06875 0.4899 0.060625 0.2398 0.0565625 0.0950 0.05453125 0.0166 0.05351563-0.0242 0.05402344-0.0036 0.05427734 0.0065 0.05415039 0.0015 0.05408691-0.0011 0.05411865 0.0002 0.05410278-0.0005 0.05411072-0.0001 0.05411469 0.0000 Respesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e f.0.0541 &tsRespesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e f.0.0541 &tsa 0.01960 0.1i 1i f(xi) 1i+1 f(xi+1)0 0.0196 -0.014382209 0.1 3.97260111 0.0196 -0.014382209 0.0598 3.044079072 0.0196 -0.014382209 0.0397 2.113029953 0.0196 -0.014382209 0.02965 1.323138954 0.0196 -0.014382209 0.024625 0.757180655 0.0196 -0.014382209 0.0221125 0.404318846 0.0196 -0.014382209 0.02085625 0.204429317 0.0196 -0.014382209 0.02022813 0.097571748 0.0196 -0.014382209 0.01991406 0.042256889 0.0196 -0.014382209 0.01975703 0.0141061510 0.01967852 -9.54033619344-005 0.01975703 0.0141061511 0.01967852 -9.54033619344-005 0.01971777 0.0070159812 0.01967852 -9.54033619344-005 0.01969814 0.0034629413 0.01967852 -9.54033619344-005 0.01968833 0.0016844414 0.01967852 -9.54033619344-005 0.01968342 0.0007946815 0.01967852 -9.54033619344-005 0.01968097 0.0003496816 0.01967852 -9.54033619344-005 0.01967974 0.000127151/ . 1.14-22!%3( +9.35/ ))/ ( 1i+2f(1i+2) 0.0598 3.0441 0.0397 2.1130 0.02965 1.3231 0.024625 0.7572 0.0221125 0.4043 0.02085625 0.2044 0.02022813 0.0976 0.01991406 0.0423 0.01975703 0.0141 0.01967852-0.0001 0.01971777 0.0070 0.01969814 0.0035 0.01968833 0.0017 0.01968342 0.0008 0.01968097 0.0003 0.01967974 0.0001 0.01967913 0.0000 Respesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e f.0.01967a 253b 256S 102.6186867832i 1i f(xi) 1i+1 f(xi+1)0 253 0.0214820114 256 -0.21913067861 253 0.0214820114 254.5 -0.09956020672 253 0.0214820114 253.75 -0.03922477743 253 0.0214820114 253.375 -0.00891801924 253.1875 0.0062703099 253.375 -0.00891801925 253.1875 0.0062703099 253.28125 -0.00132677286 253.234375 0.0024710386 253.28125 -0.00132677287 253.2578125 0.0005719504 253.28125 -0.00132677288 253.2578125 0.0005719504 253.26953125 -0.00037745689 253.263671875 9.723542824-005 253.26953125 -0.000377456810 253.263671875 9.723542824-005 253.2666015625 -0.000140113511 253.263671875 9.723542824-005 253.2651367188 -2.143976264-00512 253.2644042969 3.789765474-005 253.2651367188 -2.143976264-00513 253.2647705078 8.228901474-006 253.2651367188 -2.143976264-00514 253.2647705078 8.228901474-006 253.2649536133 -6.605441734-00615 253.2648620605 8.117270944-007 253.2649536133 -6.605441734-00616 253.2648620605 8.117270944-007 253.2649078369 -2.896858024-00617 253.2648620605 8.117270944-007 253.2648849487 -1.042565614-0065.62((%s7 (/))-1'.62si#7 (/ ) 1i+2f(1i+2) 254.5-0.099560 253.75-0.039225 253.375-0.008918 253.1875 0.006270 253.28125-0.001327 253.234375 0.002471 253.2578125 0.000572 253.26953125-0.000377 253.263671875 0.000097 253.2666015625-0.000140 253.2651367188-0.000021 253.2644042969 0.000038 253.2647705078 0.000008 253.2649536133-0.000007 253.2648620605 0.000001 253.2649078369-0.000003 253.2648849487-0.000001 253.2648735046-0.000000 Respesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e (.253.2648 &ts 5 s.102.6186 &tsRespesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e (.253.2648 &ts 5 s.102.6186 &tsa 00 0.5i 1i f(xi) 1i+1 f(xi+1)0 0 0.3926990817 0.5 -0.392699081 0 0.3926990817 0.25 -0.085606662 0.125 0.1453282246 0.25 -0.085606663 0.1875 0.0266835424 0.25 -0.085606664 0.1875 0.0266835424 0.21875 -0.030413245 0.1875 0.0266835424 0.203125 -0.002082016 0.1953125 0.0122489618 0.203125 -0.002082017 0.19921875 0.0050702177 0.203125 -0.002082018 0.20117188 0.00149075 0.203125 -0.002082019 0.20117188 0.00149075 0.20214844 -0.0002964710 0.20166016 0.0005969279 0.20214844 -0.0002964711 0.2019043 0.0001501743 0.20214844 -0.0002964712 0.2019043 0.0001501743 0.20202637 -7.3164-00513 0.20196533 3.850244-005 0.20202637 -7.3164-00514 0.20196533 3.850244-005 0.20199585 -1.7334-00515 0.20198059 1.058544-005 0.20199585 -1.7334-00516 0.20198059 1.058544-005 0.20198822 -3.3734-00617 0.20198441 3.606274-006 0.20198822 -3.3734-006 80.5 = ^2 ^2si#^(1) / 79( ^2^2) ( )1i+2f(1i+2) 0.25-0.085607 0.125 0.145328 0.1875 0.026684 0.21875-0.030413 0.203125-0.002082 0.1953125 0.012249 0.19921875 0.005070 0.20117188 0.001491 0.20214844-0.000296 0.20166016 0.000597 0.2019043 0.000150 0.20202637-0.000073 0.20196533 0.000039 0.20199585-0.000017 0.20198059 0.000011 0.20198822-0.000003 0.20198441 0.000004 0.20198631 0.000000 Respesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e h te#$+a *#a $ista#(ia $e 0.2019 &tsRespesta: ti!i"a#$% e! &et%$% $e !a 0ise((i%#) se p*$% $ete+&i#a+ ,*e h te#$+a *#a $ista#(ia $e 0.2019 &ts