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See the sample file for where to enter the function and lower and \ upper bounds for x and y." }], "Text", CellChangeTimes->{{3.472147729647377*^9, 3.472147838266721*^9}, { 3.4721482231166973`*^9, 3.472148258026847*^9}, {3.472149254345359*^9, 3.472149264724798*^9}, {3.472149308848914*^9, 3.47214931788256*^9}, { 3.472149349082573*^9, 3.472149400186668*^9}, {3.472149430402697*^9, 3.472149468770603*^9}, {3.4721496948323317`*^9, 3.472149695931417*^9}, { 3.472149750603384*^9, 3.472149780875999*^9}}], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Plot3D", "[", RowBox[{",", RowBox[{"{", RowBox[{"x", ",", ","}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", ","}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}]}], "]"}]], "Input", CellChangeTimes->{{3.4721476873337307`*^9, 3.472147705180216*^9}, { 3.472148719862215*^9, 3.4721487212522593`*^9}, {3.4721494057162952`*^9, 3.472149428213685*^9}}], Cell[BoxData[ FormBox[ 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"\n\nGraph the level curves of f(x,y) = 9 x*y - x^3 - y^3 - 6 on the region \ -5 \[LessEqual] x \[LessEqual] 5, -5 \[LessEqual] y \[LessEqual] 5 by filling \ in the blank spots in the following command. See the sample file for where to \ enter the function and lower and upper bounds for x and y. 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Graph \ it in three dimensions and make a contour plot.\n", StyleBox["A prize will be awarded for the most \"interesting\" (e.g., \ beautiful or wild-looking) function.", FontSlant->"Italic"] }], "Text", CellChangeTimes->{{3.472149842168283*^9, 3.4721500595306664`*^9}}] }, ScreenStyleEnvironment->"Presentation", WindowSize->{889, 793}, WindowMargins->{{Automatic, 206}, {Automatic, 17}}, Magnification->1.5, FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (June 19, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[568, 14, 722, 12, 192, "Text"], Cell[CellGroupData[{ Cell[1315, 30, 464, 12, 51, "Input"], Cell[1782, 44, 56332, 905, 465, "Output"] }, Open ]], Cell[58129, 952, 626, 10, 192, "Text"], Cell[58758, 964, 928, 17, 82, "Input"], Cell[59689, 983, 509, 9, 161, "Text"], Cell[60201, 994, 388, 8, 224, "Text"] } ] *)