(* 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[ 455799, 8872] NotebookOptionsPosition[ 445758, 8538] NotebookOutlinePosition[ 446168, 8556] CellTagsIndexPosition[ 446125, 8553] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ "Mit ", StyleBox["Mathematica", FontSlant->"Italic"], " durchs Abitur" }], "Title", CellChangeTimes->{{3.36386182531826*^9, 3.36386182729626*^9}, 3.382549020869715*^9}], Cell[CellGroupData[{ Cell["Fl\[ADoubleDot]chenst\[UDoubleDot]ck unter einer Kurve", "Section", CellChangeTimes->{{3.3638622013478*^9, 3.36386220573919*^9}, { 3.36386547274861*^9, 3.36386547931836*^9}, 3.3892697548078*^9}], Cell[TextData[{ StyleBox["Aufgabe:", FontWeight->"Bold", Background->None], StyleBox["\nGegeben ist f\[UDoubleDot]r ", Background->None], StyleBox["x>0", "InlineFormula", Background->None], StyleBox[" die Funktion ", Background->None], Cell[BoxData[ FormBox[ RowBox[{ RowBox[{"f", "[", "x", "]"}], "=", RowBox[{ FractionBox["x", "8"], "+", FractionBox["2", "x"]}]}], TraditionalForm]], Background->None], StyleBox[". Zeichnen Sie den Graphen der Kurve.\n\nIn die \ Fl\[ADoubleDot]che zwischen Kurve und ", Background->None], StyleBox["x", FontSlant->"Italic", Background->None], StyleBox["-Achse ist ein Streifen mit der Breite 3 parallel zur ", Background->None], StyleBox["y", FontSlant->"Italic", Background->None], StyleBox["-Achse so einzuf\[UDoubleDot]gen, dass seine Fl\[ADoubleDot]che m\ \[ODoubleDot]glichst klein wird. 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