(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.2' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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oooo0P00001n0?ooo`@00000=`3oool4000008P0oooo000F0?ooo`030000003oool0oooo0840oooo 0`00000a0?ooo`<00000S03oool001H0oooo00<000000?ooo`3oool0Q03oool3000002/0oooo0`00 002?0?ooo`005P3oool00`000000oooo0?ooo`270?ooo`D000007`3oool700000980oooo000=0?oo o`030000003oool0oooo00H0oooo00<000000?ooo`3oool0S03oool700000180oooo1P00002I0?oo o`003@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo09<0oooo4P00002O0?ooo`00 3@3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0ooooA@3oool000h0oooo00<0 00000?ooo`3oool01@3oool00`000000oooo0?ooo`3o0?ooodD0oooo000>0?ooo`030000003oool0 oooo00D0oooo0`00003o0?ooodD0oooo000>0?ooo`030000003oool0oooo0?l0ooooC@3oool000l0 oooo00<000000?ooo`3oool0o`3ooom<0?ooo`002P3oool00`000000oooo0?ooo`020?ooo`030000 003oool0oooo0?l0ooooC03oool000X0oooo1P00003o0?ooodh0oooo003o0?oooeh0oooo003o0?oo oeh0oooo0000\ \>"], ImageRangeCache->{{{0, 348.875}, {332, 0}} -> {0, -1, 0, 0}}], "\nCalcular, mediante el comando de Mathematica correspondiente dos \ polinomios interpoladores de grados dos y tres que se ajusten a dicha funci\ \[OAcute]n.\nUtilizar nodos igualmente espaciados para dicho c\[AAcute]lculo \ ", Cell[BoxData[ \(TraditionalForm\`x\_0\)]], " y ", Cell[BoxData[ \(TraditionalForm\`x\_\(\(n\)\(\ \)\)\)]], "ser\[AAcute]n los puntos de corte de la par\[AAcute]bola con el eje de las \ x\nDibujar simultaneamente en un gr\[AAcute]fico las tres curvas h(x), ", Cell[BoxData[ \(TraditionalForm\`\(p\_2\)(x)\)]], " y ", Cell[BoxData[ \(TraditionalForm\`\(p\_3\)(x)\)]], ".\nCalcular la integral ", Cell[BoxData[ \(TraditionalForm\`\[Integral]\_a\%b\( h(x)\) \[DifferentialD]x\)]], " utilizando la regla de Simpson de tres puntos y la regla de Simpson de \ cuatro puntos.\nComparar los resultados con el valor exacto de la integral" }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["2\.ba Ejercicio", "Section"], Cell[TextData[{ "Se dispone de un conjunto de puntos que se ajustan a un deteminado fen\ \[OAcute]meno f\[IAcute]sico.\n\n", Cell[BoxData[ TagBox[GridBox[{ {"x", "1", "2", "3", "4", "5"}, {"y", "5", "15.3`", "29.3`", "46.4`", "66.3`"} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], Function[ BoxForm`e$, TableForm[ BoxForm`e$]]]]], "\n\n- Determinar si dicho conjunto de puntos se ajusta mejor a una funci\ \[OAcute]n del tipo A*", Cell[BoxData[ \(TraditionalForm\`\[ExponentialE]\^\(B*x\)\)]], " o a un polinomio de segundo grado.\n(Calcular el polinomio de segundo \ grado mediante el comando correspondiente de Mathematica y el ajuste \ exponencial mediante las ecuaciones normales del ajuste \ minimo-cuadr\[AAcute]tico)\n- Dibujar simultaneamente el listado de puntos y \ ambas funciones.\n" }], "Text", TextAlignment->Left, TextJustification->0], Cell[BoxData[ \({{1, 5}, {2, 15.3}, {3, 29.3}, {4, 46.4}, {5, 66.3}}\)], "Input"] }, Open ]] }, Open ]] }, FrontEndVersion->"5.2 for Microsoft Windows", ScreenRectangle->{{0, 1280}, {0, 941}}, WindowToolbars->{"RulerBar", "EditBar"}, WindowSize->{1085, 907}, 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