(* Content-type: application/vnd.wolfram.mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 8.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 157, 7] NotebookDataLength[ 3060, 112] NotebookOptionsPosition[ 2244, 80] NotebookOutlinePosition[ 2834, 102] CellTagsIndexPosition[ 2791, 99] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell["\<\ C\[AAcute]lculo Num\[EAcute]rico Enero 2006\ \>", "Title", TextAlignment->Center, TextJustification->0, FontColor->GrayLevel[0], Background->GrayLevel[0.900008]], Cell[CellGroupData[{ Cell["\<\ Ingenier\[IAcute]a Quimica 2\.ba Curso \t\t\t\t\t\t\t30 Enero 2006\ \>", "Subsubsection"], Cell["\<\ Nombre y Apellidos:...........................................................\ ........................................................................\ \>", "Text"] }, Open ]], Cell[CellGroupData[{ Cell["1er Ejercicio", "Section"], Cell[TextData[{ "Dado el siguiente sistema de ecuaciones lineales:\n5x+4y=5\n4y+2z=2\n\ 4x+2y+10z=6\nCalcular la matriz T del m\[EAcute]todo de Gauss-Seidel. \n\ Demostrar que se puede resolver dicho sistema mediante este m\[EAcute]todo \ calculando el radio espectral de T.\nResolver el sistema con un error \ absoluto menor que ", Cell[BoxData[ FormBox[ SuperscriptBox["10", RowBox[{"-", "3"}]], TraditionalForm]]], "\nNota: Los valores propios de una matriz cuadrada se calculan con el \ comando Eigenvalues[]" }], "Text"] }, Open ]], Cell[CellGroupData[{ Cell["2\.ba Ejercicio", "Section"], Cell[TextData[{ "1.-Dada la funci\[OAcute]n f(x)=", Cell[BoxData[ FormBox[ RowBox[{ SqrtBox[ RowBox[{"4", "-", SuperscriptBox[ RowBox[{"(", RowBox[{"x", "-", "1"}], ")"}], "2"]}]], "-", "1"}], TraditionalForm]]], ", realizar un ajuste m\[IAcute]nimo-caudr\[AAcute]tico continuo de dicha \ funci\[OAcute]n en el intervalo [0,2] mediante una par\[AAcute]bola.\nDibujar \ ambas funciones asi como la funci\[OAcute]n diferencia." }], "Text"] }, Open ]] }, ScreenStyleEnvironment->"Presentation", WindowToolbars->{"RulerBar", "EditBar"}, WindowSize->{1140, 899}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, DockedCells->FEPrivate`FrontEndResource[ "FEExpressions", "CompatibilityToolbar"], PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, Magnification->1, FrontEndVersion->"8.0 for Microsoft Windows (32-bit) (November 7, 2010)", StyleDefinitions->"Classroom.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[557, 20, 203, 6, 101, "Title"], Cell[CellGroupData[{ Cell[785, 30, 99, 2, 66, "Subsubsection"], Cell[887, 34, 176, 3, 38, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[1100, 42, 32, 0, 91, "Section"], Cell[1135, 44, 538, 12, 297, "Text"] }, Open ]], Cell[CellGroupData[{ Cell[1710, 61, 34, 0, 91, "Section"], Cell[1747, 63, 481, 14, 113, "Text"] }, Open ]] } ] *) (* End of internal cache information *)