(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 31261, 780] NotebookOptionsPosition[ 12566, 408] NotebookOutlinePosition[ 29514, 718] CellTagsIndexPosition[ 29429, 713] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "Tarea N\.ba 7 : \nProfundizando en las capacidades gr\[AAcute]ficas de ", StyleBox["Mathematica", FontSlant->"Italic"], " " }], "Title", CellChangeTimes->{ 3.4278162014102983`*^9, {3.427975564049397*^9, 3.427975565904118*^9}}, TextAlignment->Center, TextJustification->0], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 1\nRepresentar la circunferencia : ", Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["x", "2"], "-", RowBox[{"4", "x"}], "+", SuperscriptBox["y", "2"], "-", RowBox[{"2", "y"}], "+", "5"}], "=", " ", "9"}]]], ".\nRealizar distintas gr\[AAcute]ficas, desde la m\[AAcute]s sencilla ir \ incorporando opciones vayan mejorando la representaci\[OAcute]n." }], "Subsection", CellChangeTimes->{{3.427817659911343*^9, 3.427817717659975*^9}, { 3.427975613401802*^9, 3.427975689283372*^9}, {3.42797585821089*^9, 3.427975861786942*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.47221703059375*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 2\nRepresentar la curva ", Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["y", "2"], "-", SuperscriptBox["x", "4"], "+", RowBox[{"2", " ", SuperscriptBox["x", "6"]}], "-", SuperscriptBox["x", "8"]}], "=", "0"}]]], " para -1.5 \[LessEqual] x \[LessEqual] 1.5, e -5 \[LessEqual] y \ \[LessEqual] 5." }], "Subsection", CellChangeTimes->{{3.4279758714180813`*^9, 3.427975877481653*^9}, { 3.4280476568463492`*^9, 3.4280476865494742`*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217035390625*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 3\nRepresentar las curvas :\n", Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["x", "2"], "+", SuperscriptBox["y", "2"]}], "=", "1"}], ",", " ", RowBox[{ RowBox[{ RowBox[{"y", " ", "4", " ", SuperscriptBox["x", "2"]}], "-", SuperscriptBox["y", "2"]}], "==", "1"}]}]]], " para -1.5 \[LessEqual] x \[LessEqual] 1.5 e -2 \[LessEqual] y \ \[LessEqual] 2" }], "Subsection", CellChangeTimes->{{3.427975882724257*^9, 3.427975888397995*^9}, { 3.4280477410025992`*^9, 3.4280477562369742`*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.4722170394375*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 4\nRepresentar las distintas c\[OAcute]nicas que se obtienen en \n\ ", Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"a", " ", SuperscriptBox["x", "2"]}], "+", RowBox[{"b", " ", "x", " ", "y"}], "+", RowBox[{"c", " ", SuperscriptBox["y", "2"]}]}], "=", "1"}]]], " cuando se sustituyen los par\[AAcute]metros a, b y c por todas las \ posibles permutaciones de -1, 1 y 2.\nEn este ejercicio se utilizan los \ comandos Permutations y Map.\n\n" }], "Subsection", CellChangeTimes->{{3.427975894883959*^9, 3.4279759001149*^9}}], Cell["\<\ En este ejercicio se utiliza el comando Permutations. La ecuaci\[OAcute]n que se define como \"conica\" es una lista. El comando Map se utiliza para asignar en cada una de las representaciones \ los valores correspondientes de los par\[AAcute]metros.\ \>", "Text", TextAlignment->Left, TextJustification->1], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"?", "Permutations"}]], "Input"], Cell[BoxData[ RowBox[{ StyleBox["\<\"\\!\\(\\*RowBox[{\\\"Permutations\\\", \\\"[\\\", StyleBox[\\\ \"list\\\", \\\"TI\\\"], \\\"]\\\"}]\\) generates a list of all possible \ permutations of the elements in \\!\\(\\*StyleBox[\\\"list\\\", \ \\\"TI\\\"]\\). \\n\\!\\(\\*RowBox[{\\\"Permutations\\\", \\\"[\\\", \ RowBox[{StyleBox[\\\"list\\\", \\\"TI\\\"], \\\",\\\", StyleBox[\\\"n\\\", \\\ \"TI\\\"]}], \\\"]\\\"}]\\) gives all permutations containing at most \ \\!\\(\\*StyleBox[\\\"n\\\", \\\"TI\\\"]\\) \ elements.\\n\\!\\(\\*RowBox[{\\\"Permutations\\\", \\\"[\\\", \ RowBox[{StyleBox[\\\"list\\\", \\\"TI\\\"], \\\",\\\", RowBox[{\\\"{\\\", \ StyleBox[\\\"n\\\", \\\"TI\\\"], \\\"}\\\"}]}], \\\"]\\\"}]\\) gives all \ permutations containing exactly \\!\\(\\*StyleBox[\\\"n\\\", \\\"TI\\\"]\\) \ elements.\"\>", "MSG"], "\[NonBreakingSpace]", ButtonBox[ StyleBox["\[RightSkeleton]", "SR"], Active->True, BaseStyle->"Link", ButtonData->"paclet:ref/Permutations"]}]], "Print", "PrintUsage", CellChangeTimes->{3.472216951890625*^9}, CellTags->"Info3472220551-3435488"] }, Open ]], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.47221705671875*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 5\nRepresentar la superficie ", Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"-", SuperscriptBox["x", "2"]}], "-", RowBox[{"2", " ", SuperscriptBox["y", "2"]}], "+", SuperscriptBox["z", "2"], "-", RowBox[{"4", " ", "y", " ", "z"}]}], "=", "10"}]]] }], "Subsection", CellChangeTimes->{{3.4279760051052628`*^9, 3.427976011057661*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217061109375*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 6\nRepresentar las superficies de nivel de f(x,y,z) = ", Cell[BoxData[ RowBox[{ SuperscriptBox["x", "2"], "+", SuperscriptBox["z", "2"], "-", SuperscriptBox["y", "2"]}]]], ", para \nC = 0 , 1, -1." }], "Subsection", CellChangeTimes->{{3.427903056222591*^9, 3.427903059570507*^9}, { 3.427976016931653*^9, 3.4279760240239067`*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.4722170808125*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 7 Hallar el \[AAcute]rea comprendida entre los lazos exterior e interior de la \ curva r = 1+2sen\[Theta] \ \>", "Subsection", CellChangeTimes->{{3.427976089808217*^9, 3.427976096228797*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217086*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 8 Hallar el \[AAcute]rea interior a la curva r = 1 y exterior a la curva r=cos3\ \[Theta].\ \>", "Subsection", CellChangeTimes->{{3.427976100621852*^9, 3.4279761054076366`*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217119546875*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 9\nLos datos del consumo energ\[EAcute]tico en Mw de los sectores \ residencial y comercial, industrial y del transporte en los a\[NTilde]os \ 1975, 1980, 1985 y 1990 de un cierto pais vienen dados en la siguiente tabla:\ \n\n", Cell[BoxData[ TagBox[GridBox[{ {"\"\\"", "\"\\"", "\"\\"", "\"\\""}, {"1975", StyleBox["24.1429999999999989`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["31.5280000000000004`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["18.6050000000000004`", StyleBoxAutoDelete->True, PrintPrecision->5]}, {"1980", StyleBox["25.6529999999999969`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["30.6090000000000017`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["19.6950000000000002`", StyleBoxAutoDelete->True, PrintPrecision->5]}, {"1985", StyleBox["26.6819999999999968`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["27.1999999999999975`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["20.0669999999999992`", StyleBoxAutoDelete->True, PrintPrecision->5]}, {"1990", StyleBox["28.8569999999999993`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["29.9040000000000016`", StyleBoxAutoDelete->True, PrintPrecision->5], StyleBox["25.5279999999999995`", StyleBoxAutoDelete->True, PrintPrecision->5]} }, GridBoxAlignment->{ "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxSpacings->{"Columns" -> { Offset[0.27999999999999997`], { Offset[2.0999999999999996`]}, Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}], TableForm[#, TableHeadings -> { None, {"a\[NTilde]o", "residencial y com.", "industrial", "transporte"}}]& ]]], "\n\nCrear un diagrama de barras que represente estos datos\n" }], "Subsection", CellChangeTimes->{{3.4279761176377783`*^9, 3.427976123651401*^9}}, TextAlignment->Left, TextJustification->1], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217128015625*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 10 De acuerdo a las encuestas realizadas en un colectivo los programas de \ televisi\[OAcute]n preferidos son: 1.- Tertulias : 12% 2.- Teatro: 2% 3.- Informativos: 31% 4.- Cine: 27% 5.- Deportes : 14% 6.- Musicales: 14% Representar mediante un diagrama de tarta estos datos. \ \>", "Subsection", CellChangeTimes->{{3.427976131607286*^9, 3.427976157954753*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.47221713328125*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 11 Las listas : res={24.143,25.653,26.682,28.857}, ind={31.528,30.609,27.200,29.904} y tra={18.605,19.695,20.067,25.528} corresponden al consumo en Mw. de los sectores: residencial y comercial, \ industrial y del transporte. Crear dos gr\[AAcute]ficos, uno bidimensional y \ otro tridimensional que representen estos datos.\ \>", "Subsection", CellChangeTimes->{{3.427976167486207*^9, 3.4279761717156563`*^9}, { 3.472217147296875*^9, 3.47221714896875*^9}}, TextAlignment->Left, TextJustification->1], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217144375*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 12 Representar las funciones cosx, cos(2x) , cos(x/2) y cos(x/4) en el \ intervalo [0, 4\[Pi]] guardando los gr\[AAcute]ficos correspondientes en las \ variable p1, p2, p3 y p4 sin mostrarlos en pantalla. Crear una lista lisgraf, \ con los gr\[AAcute]ficos anteriores y representar todas las gr\[AAcute]ficas \ en una misma l\[IAcute]nea. A continuaci\[OAcute]n utilizar el comando \ Partition para crear una matriz de gr\[AAcute]ficos y representar los gr\ \[AAcute]ficos anteriores en dos l\[IAcute]neas.\ \>", "Subsection", CellChangeTimes->{{3.427371650922056*^9, 3.427371656056604*^9}, 3.47221628059375*^9, {3.472216922078125*^9, 3.472216922265625*^9}}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.4722171529375*^9}] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ejercicio 13\nRepresentar varias curvas de nivel de \nf(x,y) =", Cell[BoxData[ RowBox[{ SuperscriptBox["x", "2"], "-", RowBox[{"4", "x"}], "+", SuperscriptBox["y", "2"], "-", RowBox[{"2", "y"}], "+", "5"}]]], "\n en el rect\[AAcute]ngulo [-2,6]x[-3,5]. Representar la circunferencia \ ", Cell[BoxData[ RowBox[{ SuperscriptBox["x", "2"], "-", RowBox[{"4", "x"}], "+", SuperscriptBox["y", "2"], "-", RowBox[{"2", "y"}], "+", "5"}]]], "= 9" }], "Subsection", CellChangeTimes->{{3.427371857282187*^9, 3.427371858421144*^9}, 3.472216283390625*^9, {3.472216927265625*^9, 3.4722169275*^9}}, TextAlignment->Left, TextJustification->1], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.472217156734375*^9}] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Ejercicio 14 Representar las curvas de nivel de g(x,y) = xseny+ysenx en la regi\[OAcute]n \ [0,5\[Pi]] x [0,5\[Pi]]\ \>", "Subsection", CellChangeTimes->{{3.427371750875325*^9, 3.427371756294222*^9}, { 3.427371877105481*^9, 3.427371877929739*^9}, 3.472216285140625*^9, 3.472216931984375*^9}], Cell[BoxData["\[IndentingNewLine]"], "Input", CellChangeTimes->{3.47221715959375*^9}] }, Open ]] }, Open ]] }, WindowToolbars->{"RulerBar", "EditBar"}, WindowSize->{937, 750}, WindowMargins->{{0, 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