(* 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[ 7990, 242] NotebookOptionsPosition[ 7411, 218] NotebookOutlinePosition[ 7745, 233] CellTagsIndexPosition[ 7702, 230] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell["Example 1", "Title", CellChangeTimes->{{3.454668774931506*^9, 3.4546687771674*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"f1", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{"Sqrt", "[", RowBox[{"x", "*", "y"}], "]"}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}]}], "]"}]}], ";", RowBox[{"Show", "[", "f1", "]"}]}]], "Input", CellChangeTimes->{{3.411302655928485*^9, 3.411302700299361*^9}, { 3.411303088920348*^9, 3.4113030893102016`*^9}, {3.411303122773354*^9, 3.411303165606852*^9}, {3.411304891727116*^9, 3.411304946292255*^9}, { 3.411306930414281*^9, 3.411306965891601*^9}, {3.411307095967731*^9, 3.4113071037083397`*^9}, {3.411307177103366*^9, 3.41130721227699*^9}, { 3.454758156631497*^9, 3.4547581599485073`*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"t1", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{"1", "+", RowBox[{ RowBox[{"(", RowBox[{"x", "-", "1"}], ")"}], "/", "2"}], "+", RowBox[{ RowBox[{"(", RowBox[{"y", "-", "1"}], ")"}], "/", "2"}]}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}], ",", RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}]}], ";", RowBox[{"Show", "[", RowBox[{"f1", ",", "t1"}], "]"}]}]], "Input", CellChangeTimes->{ 3.411309198223164*^9, {3.4113109505437193`*^9, 3.4113109626458683`*^9}, { 3.4113110044400578`*^9, 3.411311063790934*^9}, {3.4113110952970247`*^9, 3.4113110996635103`*^9}, {3.4113115687880173`*^9, 3.4113115838753967`*^9}, {3.454758244419252*^9, 3.454758253890502*^9}}] }, Open ]], Cell[CellGroupData[{ Cell["Example 2", "Title", CellChangeTimes->{{3.4547585058570147`*^9, 3.45475850753824*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"f2", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"x", "*", "y"}], ")"}], "/", RowBox[{"(", RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"y", "^", "2"}]}], ")"}]}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}]}], "]"}]}], ";", RowBox[{"Show", "[", "f2", "]"}]}]], "Input", CellChangeTimes->{{3.411302655928485*^9, 3.411302700299361*^9}, { 3.411303088920348*^9, 3.4113030893102016`*^9}, {3.411303122773354*^9, 3.411303165606852*^9}, {3.411304891727116*^9, 3.411304946292255*^9}, { 3.411306930414281*^9, 3.411306965891601*^9}, {3.411307095967731*^9, 3.4113071037083397`*^9}, {3.411307177103366*^9, 3.41130721227699*^9}, { 3.454758156631497*^9, 3.4547581599485073`*^9}, {3.454759546351206*^9, 3.454759552575427*^9}, {3.45475986948508*^9, 3.4547598724347763`*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"t2", "=", RowBox[{"Plot3D", "[", RowBox[{"0", ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}], ",", RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}]}], ";", RowBox[{"Show", "[", RowBox[{"f2", ",", "t2"}], "]"}]}]], "Input", CellChangeTimes->{ 3.411309198223164*^9, {3.4113109505437193`*^9, 3.4113109626458683`*^9}, { 3.4113110044400578`*^9, 3.411311063790934*^9}, {3.4113110952970247`*^9, 3.4113110996635103`*^9}, {3.4113115687880173`*^9, 3.4113115838753967`*^9}, {3.454758244419252*^9, 3.454758253890502*^9}, 3.454759567520228*^9, {3.454759876794922*^9, 3.454759881618106*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"px", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"y", "^", "3"}], "-", RowBox[{ RowBox[{"x", "^", "2"}], "*", "y"}]}], ")"}], "/", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"y", "^", "2"}]}], ")"}], "^", "2"}]}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}]}], "]"}]}], ";", RowBox[{"Show", "[", "px", "]"}]}]], "Input", CellChangeTimes->{{3.4547598925237713`*^9, 3.454759911378358*^9}, { 3.45476140527951*^9, 3.454761409261015*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"py", "=", RowBox[{"Plot3D", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", "^", "3"}], "-", RowBox[{ RowBox[{"y", "^", "2"}], "*", "x"}]}], ")"}], "/", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", "^", "2"}], "+", RowBox[{"y", "^", "2"}]}], ")"}], "^", "2"}]}], ",", RowBox[{"{", RowBox[{"x", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"{", RowBox[{"y", ",", RowBox[{"-", "2"}], ",", "2"}], "}"}], ",", RowBox[{"AxesLabel", "\[Rule]", RowBox[{"{", RowBox[{"x", ",", "y", ",", "z"}], "}"}]}], ",", RowBox[{"ViewPoint", "\[Rule]", RowBox[{"{", RowBox[{"1", ",", "1", ",", "1"}], "}"}]}]}], "]"}]}], ";", RowBox[{"Show", "[", "py", "]"}]}]], "Input", CellChangeTimes->{{3.454761234791836*^9, 3.454761254235257*^9}, { 3.454761358570422*^9, 3.454761358654923*^9}, {3.454761411957704*^9, 3.4547614154048653`*^9}}] }, Open ]] }, WindowSize->{640, 750}, WindowMargins->{{5, Automatic}, {Automatic, 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[CellGroupData[{ Cell[590, 23, 90, 1, 76, "Title"], Cell[683, 26, 1045, 25, 58, "Input"], Cell[1731, 53, 1160, 31, 58, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[2928, 89, 93, 1, 76, "Title"], Cell[3024, 92, 1274, 31, 58, "Input"], Cell[4301, 125, 1028, 25, 58, "Input"], Cell[5332, 152, 1005, 30, 58, "Input"], Cell[6340, 184, 1055, 31, 58, "Input"] }, Open ]] } ] *) (* End of internal cache information *)