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a\[NTilde]o \ indicado. Representar gr\[AAcute]ficamente los datos de la tabla.\n\ A\[NTilde]o % Trab.\n", Cell[BoxData[GridBox[{ {"1930", StyleBox["11.5999999999999992`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1935", StyleBox["13.1999999999999984`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1940", StyleBox["26.8999999999999994`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1945", StyleBox["35.4999999999999982`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1950", StyleBox["31.4999999999999991`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1955", StyleBox["33.2000000000000028`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1960", StyleBox["31.3999999999999968`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1965", StyleBox["28.3999999999999985`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1970", StyleBox["27.2999999999999998`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1975", StyleBox["25.4999999999999982`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1980", StyleBox["21.8999999999999994`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1985", StyleBox["18.`", StyleBoxAutoDelete->True, PrintPrecision->3]}, {"1990", StyleBox["16.1000000000000014`", StyleBoxAutoDelete->True, PrintPrecision->3]} }, 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" -> {}}]]] }], "Subsection", TextAlignment->Left, TextJustification->1], Cell[BoxData[ RowBox[{ RowBox[{"porcentaje", "=", RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"30", ",", "11.6"}], "}"}], ",", RowBox[{"{", RowBox[{"35", ",", "13.2"}], "}"}], ",", RowBox[{"{", RowBox[{"40", ",", "26.9"}], "}"}], ",", RowBox[{"{", RowBox[{"45", ",", "35.5"}], "}"}], ",", RowBox[{"{", RowBox[{"50", ",", "31.5"}], "}"}], ",", RowBox[{"{", RowBox[{"55", ",", "33.2"}], "}"}], ",", RowBox[{"{", RowBox[{"60", ",", "31.4"}], "}"}], ",", RowBox[{"{", RowBox[{"65", ",", "28.4"}], "}"}], ",", RowBox[{"{", RowBox[{"70", ",", "27.3"}], "}"}], ",", RowBox[{"{", RowBox[{"75", ",", "25.5"}], "}"}], ",", RowBox[{"{", RowBox[{"80", ",", "21.9"}], "}"}], ",", RowBox[{"{", RowBox[{"85", ",", "18.0"}], "}"}], ",", RowBox[{"{", RowBox[{"90", ",", "16.1"}], "}"}]}], "}"}]}], ";"}]], "Input"], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"TableForm", "[", "porcentaje", "]"}]], "Input"], Cell[BoxData[ TagBox[GridBox[{ {"30", "11.6`"}, {"35", "13.2`"}, {"40", "26.9`"}, {"45", "35.5`"}, {"50", "31.5`"}, {"55", "33.2`"}, {"60", "31.4`"}, {"65", "28.4`"}, {"70", "27.3`"}, {"75", "25.5`"}, {"80", "21.9`"}, {"85", "18.`"}, {"90", "16.1`"} }, GridBoxAlignment->{ "Columns" -> {{Left}}, "ColumnsIndexed" -> {}, "Rows" -> {{Baseline}}, "RowsIndexed" -> {}}, GridBoxSpacings->{"Columns" -> { Offset[0.27999999999999997`], { Offset[0.7]}, Offset[0.27999999999999997`]}, "ColumnsIndexed" -> {}, "Rows" -> { Offset[0.2], { Offset[0.4]}, Offset[0.2]}, "RowsIndexed" -> {}}], Function[BoxForm`e$, TableForm[BoxForm`e$]]]], "Output", CellChangeTimes->{3.47221781453125*^9}] }, Open ]], Cell["\<\ Otra forma de hacer esto es utilizar los comandos Show, Graphics y Point. El \ punto(a,b) se puede representar mediante Point[{a,b}]. A continuaci\[OAcute]n \ este objeto se declara como un objeto gr\[AAcute]fico con \ Graphics[Point[{a,b}]]. Previamente para pasar de la lista al conjunto de \ objetos Point se utiliza el comando Map.\ \>", "Text", TextAlignment->Left, TextJustification->1], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"puntos", "=", RowBox[{"Map", "[", RowBox[{"Point", ",", "porcentaje"}], "]"}]}]], "Input"], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"Point", "[", RowBox[{"{", RowBox[{"30", ",", "11.6`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"35", ",", "13.2`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"40", ",", "26.9`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"45", ",", "35.5`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"50", ",", "31.5`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"55", ",", "33.2`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"60", ",", "31.4`"}], "}"}], "]"}], ",", RowBox[{"Point", "[", RowBox[{"{", RowBox[{"65", ",", "28.4`"}], "}"}], "]"}], ",", 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Realizar el ejercicio siguiendo los \ pasos,\n1\.ba.- Almacenar en una variable graff la representaci\[OAcute]n gr\ \[AAcute]fica de f en el intervalo [0 , 4].\n2\.ba.- Definir una funci\ \[OAcute]n que de la tangente que pasa por los puntos (a,f(a)) .\n3\.ba.- \ Obtener la tangente correspondiente a a=1 .\n4\.ba.- Crear una lista, tans, \ que contenga las gr\[AAcute]ficas de las tangentes que pasan por los punto \ (1+h, f(1+h)), con h variando de 0 a 3 y de 0.5 en 0.5.\n5\.ba.- Crear otra \ lista, punto, con la representaci\[OAcute]n gr\[AAcute]fica de los puntos de \ la curva en los que se traza la tangente. 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