(* 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[ 17594, 440] NotebookOptionsPosition[ 16265, 395] NotebookOutlinePosition[ 16683, 413] CellTagsIndexPosition[ 16640, 410] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Etudef", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"1", "+", "x"}], ")"}], " ", RowBox[{"Exp", "[", "x", "]"}]}], ",", "x"}], "]"}]], "Input", CellOpen->False, CellChangeTimes->{{3.389234602601288*^9, 3.3892346116871433`*^9}}], Cell[CellGroupData[{ Cell[BoxData[ FormBox[ InterpretationBox[ RowBox[{"\<\"f(x) = \"\>", "\[InvisibleSpace]", RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "1"}], ")"}]}]}], SequenceForm["f(x) = ", E^$CellContext`x (1 + $CellContext`x)], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241611649527*^9}], Cell[BoxData[ FormBox["\<\"1. Domaine de definition\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.38924161165177*^9}], Cell[BoxData[ FormBox[ InterpretationBox[ RowBox[{"\<\"Dom f = \"\>", "\[InvisibleSpace]", "\<\"\[DoubleStruckCapitalR]\"\>"}], SequenceForm["Dom f = ", "\[DoubleStruckCapitalR]"], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416117044697`*^9}], Cell[BoxData[ FormBox["\<\"2. Signe de f\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241611706686*^9}], Cell[BoxData[ FormBox[ TagBox[GridBox[{ {"x", " ", RowBox[{"-", "1"}], " "}, { RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "1"}], ")"}]}], "-", "0", "+"} }, GridBoxDividers->{ "Columns" -> {{True}}, "ColumnsIndexed" -> {}, "Rows" -> {{True}}, "RowsIndexed" -> {}}], DisplayForm], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.38924161180472*^9}], Cell[BoxData[ FormBox["\<\"3. Limites et asymptotes\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241611807461*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\"\\!\\(lim\\+\\(\\!\\(TraditionalForm\\`x\\) -> \ \\!\\(TraditionalForm\\`\[Infinity]\\)\\)\\) \\!\\(TraditionalForm\\`\\(\ \[ExponentialE]\\^x\\\\ \\(\\((x + 1)\\)\\)\\)\\) = \\!\\(TraditionalForm\\`\ \[Infinity]\\)\"\>", StringForm["\!\(lim\+\(`1` -> `2`\)\) `3` = `4`", $CellContext`x, DirectedInfinity[1], E^$CellContext`x (1 + $CellContext`x), DirectedInfinity[1]], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241611972637*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\"\\!\\(lim\\+\\(\\!\\(TraditionalForm\\`x\\) -> \ \\!\\(TraditionalForm\\`\\(-\[Infinity]\\)\\)\\)\\) \ \\!\\(TraditionalForm\\`\\(\[ExponentialE]\\^x\\\\ \\(\\((x + 1)\\)\\)\\)\\) \ = \\!\\(TraditionalForm\\`0\\)\"\>", StringForm["\!\(lim\+\(`1` -> `2`\)\) `3` = `4`", $CellContext`x, DirectedInfinity[-1], E^$CellContext`x (1 + $CellContext`x), 0], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612041697*^9}], Cell[BoxData[ FormBox[ InterpretationBox[ RowBox[{"\<\"AH\"\>", "\[InvisibleSpace]", "\<\" \[Congruent] \"\>", "\[InvisibleSpace]", RowBox[{"x", "\[LongEqual]", "0"}], "\[InvisibleSpace]", "\<\" a gauche\"\>"}], SequenceForm["AH", " \[Congruent] ", $CellContext`x == 0, " a gauche"], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416121187897`*^9}], Cell[BoxData[ FormBox["\<\"4. Intersection avec les axes\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612120821*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\"\\!\\(TraditionalForm\\`\\\"\\\\!\\\\(\ TraditionalForm\\\\`\\\\\\\"Gf \\\\\\\\[Intersection] X = { \ \\\\\\\"\\\\)\\\\!\\\\(TraditionalForm\\\\`\\\\\\\"(\\\\\\\\!\\\\\\\\(\ TraditionalForm\\\\\\\\`\\\\\\\\(-1\\\\\\\\)\\\\\\\\),\\\\\\\\!\\\\\\\\(\ TraditionalForm\\\\\\\\`0\\\\\\\\))\\\\\\\"\\\\)\\\"\\) }\"\>", StringForm["`1` }", StringForm["`1``2`", StringForm["`1`{ ", "Gf \[Intersection] X = "], StringForm["(`1`,`2`)", -1, 0]]], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612142576*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\"Gf \[Intersection] Y = { \ (0,\\!\\(TraditionalForm\\`1\\)) }\"\>", StringForm["`1`{ (0,`2`) }", "Gf \[Intersection] Y = ", 1], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416121646*^9}], Cell[BoxData[ FormBox["\<\"5. Etude de f'\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416121686993`*^9}], Cell[BoxData[ FormBox[ InterpretationBox[ RowBox[{"\<\"f'(x) = \"\>", "\[InvisibleSpace]", RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "2"}], ")"}]}]}], SequenceForm["f'(x) = ", E^$CellContext`x (2 + $CellContext`x)], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612170437*^9}], Cell[BoxData[ FormBox[ TagBox[GridBox[{ {"x", " ", RowBox[{"-", "2"}], " "}, { RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "2"}], ")"}]}], "-", "0", "+"} }, GridBoxDividers->{ "Columns" -> {{True}}, "ColumnsIndexed" -> {}, "Rows" -> {{True}}, "RowsIndexed" -> {}}], DisplayForm], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612251227*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\" Min : \ (\\!\\(TraditionalForm\\`\\(-2\\)\\),\\!\\(TraditionalForm\\`\\(-\\(\\(1\\/\ \[ExponentialE]\\^2\\)\\)\\)\\))\"\>", StringForm[" Min : (`1`,`2`)", -2, (-1) E^(-2)], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612335944*^9}], Cell[BoxData[ FormBox["\<\"6. Etude de f\\\"\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612338485*^9}], Cell[BoxData[ FormBox[ InterpretationBox[ RowBox[{"\<\"f\\\"(x) = \"\>", "\[InvisibleSpace]", RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "3"}], ")"}]}]}], SequenceForm["f\"(x) = ", E^$CellContext`x (3 + $CellContext`x)], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612340386*^9}], Cell[BoxData[ FormBox[ TagBox[GridBox[{ {"x", " ", RowBox[{"-", "3"}], " "}, { RowBox[{ SuperscriptBox["\[ExponentialE]", "x"], " ", RowBox[{"(", RowBox[{"x", "+", "3"}], ")"}]}], "-", "0", "+"} }, GridBoxDividers->{ "Columns" -> {{True}}, "ColumnsIndexed" -> {}, "Rows" -> {{True}}, "RowsIndexed" -> {}}], DisplayForm], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416124208603`*^9}], Cell[BoxData[ FormBox[ InterpretationBox["\<\" I : \ (\\!\\(TraditionalForm\\`\\(-3\\)\\),\\!\\(TraditionalForm\\`\\(-\\(\\(2\\/\ \[ExponentialE]\\^3\\)\\)\\)\\))\"\>", StringForm[" I : (`1`,`2`)", -3, (-2) E^(-3)], Editable->False], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241612466445*^9}], Cell[BoxData[ FormBox["\<\"7.Tableau recapitulatif\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416124881763`*^9}], Cell[BoxData[ FormBox[ TagBox[GridBox[{ {"x", RowBox[{"-", "\[Infinity]"}], " ", RowBox[{"-", "3"}], " ", RowBox[{"-", "2"}], " ", RowBox[{"-", "1"}], " ", "\[Infinity]"}, { RowBox[{"f", RowBox[{"(", "x", ")"}]}], "0", "-", RowBox[{"-", FractionBox["2", SuperscriptBox["\[ExponentialE]", "3"]]}], "-", RowBox[{"-", FractionBox["1", SuperscriptBox["\[ExponentialE]", "2"]]}], "-", "0", "+", "\[Infinity]"}, {" ", RowBox[{"x", "\[LongEqual]", "0"}], " ", "I", " ", "Min", " ", " ", " ", " "}, {"pente", "0", "-", RowBox[{"-", FractionBox["1", SuperscriptBox["\[ExponentialE]", "3"]]}], "-", "0", "+", FractionBox["1", "\[ExponentialE]"], "+", "\[Infinity]"}, {"concavite", "0", "-", "0", "+", FractionBox["1", SuperscriptBox["\[ExponentialE]", "2"]], "+", FractionBox["2", "\[ExponentialE]"], "+", "\[Infinity]"} }, GridBoxDividers->{ "Columns" -> {{True}}, "ColumnsIndexed" -> {}, "Rows" -> {{True}}, "RowsIndexed" -> {}}], DisplayForm], TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.389241614051613*^9}], Cell[BoxData[ FormBox["\<\"8. Graphe de f\"\>", TraditionalForm]], "Print", CellChangeTimes->{3.3892415463465652`*^9, 3.3892416140747538`*^9}] }, Open ]], Cell[BoxData[ FormBox[ GraphicsBox[{{}, {}, {Hue[0.67, 0.6, 0.6], LineBox[CompressedData[" 1:eJwdl3k4Fcobx885lmRXx5JuRCmkCKmbmBPKUgmVq1IJLRSVbNlT9qwJ2Um2 utayO++cFnuWErJvIWSX/Zzfub/5Z57P88y8M/N9v+88MxLm94xukAgEwgEi gfBfb5EbNs1gCOMp6Wo8cj0AyGuie1TXhbEsV7E6n0MAfDr52tRxWRiThjfr nfAPgD29pbWTM8LY7vuEbGdOAIxzD736MSCMLVU52DLXA+C+9SGTwo/C2NWa ntoVGwgeUp34pp8wps65xfYNBEFs3K6IL7zC+HJa0z6D+BDIVniZUswpjEW/ WL/heR8CZZ9581PYhXFUdTe150sIdE6vNDnQhXD6zsqW94wQENVq5hGbEsKn pQfWTlqGQtykW4DtFyFsdf4Cl5tIGMSrtXnxPRPCYYQWfsfJMEjq879nuFkI mzgYiM8WRIAZF0eTF5sQPhAV19aGI0DysN+BPKIQ/l2rzVnVGAHpIT6/eVcF cTiv3zoej4AcNe87DeOC+IDe5dcyu55DRZzrLe0GQby/4fO3uhfPofMf22tq oYI4+etJ44fekSDUfO6sjKAg7qx6kRXtEgU1Bue06qXI+IL7Y3aBjljQkZGy 3yW5FQtNzPMnHEqGozmm6U3yW/D2W86bciivYDXw5lZFGQEcrGF5aZ2cAYtL aS+u7uXHxrYnjx248wY+SUYoU2148Ypt1FklRi6osnkW7rPkxjNn4maCPhZA JOXw4ePunPih0+RZ18j3YBFv8nM8iQN70z5qyXiWQFOG2GZiLDu+7cJi2veu HMx+Y6J9BDsesbkxlYfLYU7RYnUkkB2zVwSTvRrKgUzNmGhwZccboe59QsPl YNKq0BhzhR3HEv6i7d5aAYMEzecKEuz4xSbP4cL7FfDn4q0dZplsOP19quM+ mUoQ4847CEWsOGROu9M1iAq2w9LdoTms2G6gdIQnmgrUihRfs3RWnNBgFRGd SoUrNs+7iFGsWCP+j2F4KRXiGx19tBxYsalPgvz2USpsC1f7UavEiu9JW2TY UADIQvVerXksmMsk/57cBIDllOa+15ks+JlRhKfDIsC7qorvDsks2OxciGgB A+CcU46scBgLnt4smkfixBDREd568R4L3l6dwM8hhoEvzkS6bz8LxsdJBXVa GDh3jjT9yibhU08v3E97hqE7nqO+P5WEveyir9SEYfh3276q9lgSNiy41jMU icFg6/2Kz4EkrKdHQ8QEDFHsq5kp1iT88Cdd5dtbDJK/ebwvypKw/2hDEa7D sGCl4G4gScLczyZfnGvE8HnEyFlblISTZ9+ldbdguN0fbXuIk4TXCxLmmzsw 5HyTuCwwTsRG64cAjWBQLTukXJtFxHEdSq07GRi4D5vI4xQiXmuOvclFokFv oYts8Usizl/oSx5npYH3v7DzdQARn0sueu3LSYOaZF2ex1ZELPUolKwoSIPY HXc5nK8T8a3IFU4QpsGd2BCWexeJeKDUow2J0oA38tuKqS4Rz6VZev0lToPz fldGjsgQsehDSXEkTYM9rF4D8hJEbHGJG27J0mDJK7V7zzYi1tRsMX4ix4zv MvqVvJmIb64Krkco0ODu0uZGLiIRv/U81uyrSAM1e7la0goBv18PlLFRpkG/ zQOYGSNgQ3WWJf4jNCgYf1422k/AxmK2Co1/0+DJraL3vR0EXFXg/chdlbn+ 9bU3DTUEfDJL5WO+OjP+eZ+YzEwC5vocPmKjRYMUepmSbAoBP+W//ST1BA3a Mmca37wk4KRnLw/UnaQBZeMyW24gAfdid705HRo4ZIQnKzwh4Ll0Hv85XRpk G1arFrgS8E5qgc1PPRqQ0xXt3t8l4G4xy9rU0zTQNbjNc/gGc/6nvVw2Z2jg sZqQWXKFgJuWbJ/J6NOgMO2b5lFjAmaVKFHsYPKY/ua+cn0C9mM3HXI+S4Md K+ouatoEXB8X/ITLgAZGr+wFARHwvq8Xl0OZ7H8mO49yhID3WmXsYTekQeVS 36kPCgTsSFWZt2HyXIrgqKYMAXcmpGhUM3nv6VPenyWYevJfXhEwooHpH68d 2qIE/HB/7toZJocnF5XUbCHgtyMf9rsyuUpv8pweFwGLdj5/+JLJawsS0/Us BKwrvpyXyWQz9Vxy3DIDhIUSa//j+gjRU4m/GLCszJ3y33iVUZ/HKZ0M+NOW LPpfvGTV2eK0egb4bY7Y9t96nGGmUxkVDNh+6bcXH5Pth6t3v/mXAfdeRSt9 YO6394jS5ZxEBhR2nibfYLJOcGJ4figDrnUnsS0zz18wsLnmnRcD+o6s/nJh 8l8qDvTiBwyYJ8S/+s3UzzewX7ncnAE/w+PIBkye6T11h3qOAXev/xRLZep9 Sak4habFgBu1qmlDzPx88pPs+HSIASe/qfiSmXygO5i3Zg8DzrFopSsz8xmj sKJVL8yA6F3pPzVP0cDmR1N+ywod2FwSTsoz/dCxX3WsdZwO/rhfhovpFw3v dLGOLjqovG3N/c70k9A+96DeSjrEP9aTUmH6z8tzjDaQQweyxl/f6zVoMP7t 3PJwEh3sR9Uyzx6nAdVN9sbEYzq0kvcelmD6V7rlRdyUHR2IV3/k2x6jQYQU 8eusBR3eJOZ9yTpKg5uN7erLJ+jw2DXPckyFBs2Smg5rKnRgr/4nYYJZP0ed ct7Q99Jh9M/OuS5mffHt9BFh46TDtchtVk8O0MDFfkafY20DTL3Pax9l1udw zWUfrskNSBioLu2RoUHJA8U5gcYNIB253fJrNzP/H/vqxSI2wNAuZG0L8z7Q Vlu+0fN4A2LdnnwcF2LqV8xPiH+wAfsnNyyzt9JgPfu48jbDDbC4leHWz83U M+JV/Fb+Dfgkg8ck6Rg8uStUvjLWwTHm39vKqxhu+rY2h02vQ6Sc+Sm5PxiU XdjYeJvWARs9c278jaH5+i0bjpB1yCyWEmvvwlDc5bmp2n0daH6u5kLtGBIv xKT42KzD9q7tj49+xXBXt/Y76cw6eKeHPlGowcBxcJ/6Btc6zD9X3NxYgOE4 YZp3LmAN8on33FO8MUi7bMrKe7QGxked9gq5YeBfENe8Z7UG1QP+5ncdMPSO GjhN6qzBLebToOIWBpemgr6RTWvw4YqT94gehuu69Y9eL62CXcbSy+uaGHQ+ Dm21HF0FzXlJrwpVDELFZJ2BqlVwJEm18MthKEh0zOvyWQV50zXx/VwYXoqE 6sU6rMJmO6SbTMLgFZExbHJjFUwulH0bnAfQ9+0QadNaBQd5afWLzQDjNkcf N7OsgveK0VmCL4CkGt3w8+MV2P10eKV2iArNAmpyL+1WAJ2Qd89oooLHiCu7 jcUKDPKq92iUU6EzdKWMfGIF5JZ3+OSHU+H54MIuS44VMFk0DTFXpQKr/8Qi KXQZqipDHAseV0KBqWxzm+cyXGV7J3HUqhLMDlplZ99fhoxfd946G1RCRefI VSOjZZgv930mIlYJDvsHq1MEl6Ht8wf/tvcVMPK14yUlfgkyK2mzA23lEJkh bE8OXoJCnT32SaXloOFmrD/mvgRyNsFq3PHlkCjVSgq7tgSXh35kzl4rh3+c m+70SS6BC+/r1p6hMqjZUaXmkfUHCh9sH63pKoWs24UD5UWLYD+2t1fBvxha zZPET6Uvws30UPJ902IgXAm60vliEUom71COKRSDsaHFj2X7RcjbaeXu3FYE pKNbWw4pLYLbDeOHd3YUwSWuhzg3dwEUw5LWQiLfgQ/bNbp60gKMPC0ZPH79 HeQx9I41hiyAd86ZCw773wH7gmTJpM0CFLN6xF36VAgF3V9zZeQWgD52P2XT ZAFw5igmvcqcB3YCx215yXw4lCnWoxgzD3ri32d9R/LALJVz+we/eea7ctcj w+w8KIoajOq/OQ9deT5zqgp5YO4ZEbJDah4sWV1bY61zoMxgzj06ZQ7WFPR3 yWpng/V8vmlQ7CzEq7dL8ZFT4KXKrOqtwFnYLvz3IjgnQ80jhe2aLrMQ9vef HL2SJJAi5P5YvTgLfFf3ZnGpJ0A/91tj622zcCxkTL5OJgYu7Ek30I2ZAaX9 pr6qG4Hw1OqnvJT/DHAv/Yw6/bc/FLzdzUd0noE93vmj2fd8gF/p1ZeSf2bA SqZ/yiTKE+pRsp608Az05I71Ks2aweMC5QBeuWlwU6t+1UZ4inqPFGpXcU1D sYs5XWy3HzoGB9k9JqZg0AG3Z58JRH/qDzz5nT0Fb6cjHv64GIbu/pR2b5CZ ArVlNyWdkShkIrLjQeDe36BlL0711k9FBzzYLrLvmoDd6/7vr2flIdGy5ugx 1glwCjIbSt+Zj9j+xLXVjYzDQ/54WWpMPuq2UTwfmj0OW5r0Qm8FFaDAK9fO iiiOw74ZrurPLu/Q6LHSE7LHf0G0fL7he+8SlLx2V1H/2ijYnFTIn0zC6Nnh Iw8Ujo9CreQHvo5fGDk9ZMnbsmsU4q32c1GUaUh/4uX+9pERWGZz8vCvo6GN zippM9sR+Gd4jod34wO6VLZT3M79J2TYeGk8dfmMtj5q5YqKG4L7hxeu83TX oWXGisC0yxAsdS8lhqvXo15fcRGdS0NgfclZ9WNKPcqMtN69KjIEDCVzb0Xr BqSeR1C7GjUIYpuUd1xhaURWo3K2e8IHoM64uGrwTTPyeMOZYsPTB/9g/lIJ nVakW3rhX/GGXua/wiD4qE8rIlcnl7YE9oKw9upf5R9aUdagytdDHL3A+e9Z vKj+HbVus2Chk3pA/4uAx/VjbUjWv/xGyHInNL5Lj4051YHaLe/K5g61QaJD mFcPdCNqj8HhovQ2yDsckSjK3oPSjQ9pVVq1wXSsd/LH0z3IXod+pX76O7gS yv0vd/Ugfrmw8NG1VogON4gv2OhFuvOFy+Lkb/BUbKaJ+qYfObAsBUsENMIJ YxfT7weHkNYiZMjzNQKtaumhhukQ2jLqT1N78QXk5Pi4p32HUE6d6OLFlAaw Lirh4OgZQiPh6qYRpXUQfT/hvMazYWSy01eWZbwKGtJ8AySXfiInF9mQ2hdU cJhKur9C+IX0p2bactMrwejJtoMbir/QHvNi8ajiCqCuSqTr3PiFvutq5Zv/ KIOSn4PCJXW/kNK2q61rfxWDvEa8MMvLcdR7b9chU51caBjVbo/VnETNb8X6 zhvdhG9uW7Ltvk0j1uundvpr6iN+o9S/IzbNoKwDqU7cZXaoZjCd84XUDOr5 YZWbou+PJmJdNLeZzyCn3DOnJkXikPNB5w6JnhmkFYteCni8RXxXcYJ51yzK Dj1CSVOoRKsfV6SlV+cR66ekik3KVHSflKqUs3MBXVtm//vOYUDiPrV9NtoL KDBvXGQb08cz2w8bxb1YQOrbSgX6X39A4yaWcsXKiyh9/AKLbWEVGgy3tDji 8Qc5B4eOBDQ2oopMyTOvKCvo9d6PaaoGTWixJX5p1XYFfaX9Mf/d0oSqy4YL oxJWkNBazr1M62aUd0W0IW5tBd2XF5rksm1BIa+KXEfKVpFUzPDwV/tvyCL4 iknTyXUUYvW4zcy7HR3P9fN8HsVA/vXE98PUdtTlafn2bh0Dee/3fn57rR2d fN1bHkRnIKdZb4P79h1o5o6OTaMSgWL26Gmd580fqEpcWC8wkUA5GOBHTdTr Qhd/acV8cyFSWjOD07u39KFDNwx3TZ5loTRy8vqYne1Dl1hObgTbslBq7oZY DAf1IQ+7liCTYBbK1RhtfkdSPzI9aBN8u56Fcs5U54u7az+KDkxIfKTLSjk2 rKsdbDOA0qpUY56dYaPwLJxWfWs4hJpS54+OOm6i8HcqWjjZDaEAFfvzPImb KGQsEqTxfAiJcocJ3fm8iSL6bLizo3UI5evwlzaSOSjSu91c2EyG0dNZ70D1 Ig6Kxvk3pVev/kQVn1T3kVg5KY7vNh8RuDOKPtz5Yqv6hZvyKHb6WnfQKEro X0ATa9wUN6/vfhlvR5GstUhktywP5cnplHa1qVGkqMMQ9QngoYQNH3GyfjCG sp4abFnS5aW8Id8u+uj0C10MMvF+085H6bevUnZ8OoGaOxz4rCMFKN01bKKZ aRNIJWOuISdXgNLx1wnGj08TyIysniFSL0Bp/vSxVo1tEunbTdmakrZQMJl2 lc13EvX94fTKsttCSXpX7h/p9xvFPHfd+vTSVsrVhbzugsBpZCJwIi1WR5By SWeGNpw9jS48y4HB24KUC/HyGUL10+g0f/1Z4wBByh7J9iOVbDOIQz0uC9cJ UsTqLrBInJxBRu8SjTLPClF4Rc/FjFXNoB9TRs0L14UpjkFdgdHcs4jw/yZC +R+r3QFh "]]}}, Axes->True, AxesOrigin->{0, 0}, ImageSize->{515., Automatic}, PlotRange->{{-6, 6}, {-6, 6}}, PlotRangeClipping->True, PlotRangePadding->{ Scaled[0.02], Automatic}], TraditionalForm]], "Output", CellChangeTimes->{3.3892415485990868`*^9, 3.389241614112423*^9}] }, Open ]] }, WindowSize->{640, 750}, WindowMargins->{{20, Automatic}, {Automatic, 44}}, PrintingCopies->1, PrintingPageRange->{1, Automatic}, CellLabelAutoDelete->True, FrontEndVersion->"6.0 for Mac OS X x86 (32-bit) (April 20, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[590, 23, 275, 8, 20, "Input", CellOpen->False], Cell[CellGroupData[{ Cell[890, 35, 403, 10, 23, "Print"], Cell[1296, 47, 151, 2, 23, "Print"], Cell[1450, 51, 311, 7, 23, "Print"], Cell[1764, 60, 141, 2, 23, "Print"], Cell[1908, 64, 492, 15, 49, "Print"], Cell[2403, 81, 152, 2, 23, "Print"], Cell[2558, 85, 546, 10, 32, "Print"], Cell[3107, 97, 521, 9, 32, "Print"], Cell[3631, 108, 424, 9, 23, "Print"], Cell[4058, 119, 157, 2, 23, "Print"], Cell[4218, 123, 618, 12, 23, "Print"], Cell[4839, 137, 292, 6, 23, "Print"], Cell[5134, 145, 144, 2, 23, "Print"], Cell[5281, 149, 405, 10, 23, "Print"], Cell[5689, 161, 493, 15, 49, "Print"], Cell[6185, 178, 340, 7, 43, "Print"], Cell[6528, 187, 145, 2, 23, "Print"], Cell[6676, 191, 409, 10, 23, "Print"], Cell[7088, 203, 495, 15, 49, "Print"], Cell[7586, 220, 336, 7, 43, "Print"], Cell[7925, 229, 153, 2, 23, "Print"], Cell[8081, 233, 1257, 35, 137, "Print"], Cell[9341, 270, 144, 2, 23, "Print"] }, Open ]], Cell[9500, 275, 6749, 117, 520, "Output"] }, Open ]] } ] *) (* End of internal cache information *)