User talk:Cgalindito

%% Created by Maple 10.00 (IBM INTEL NT) %% Source Worksheet: homework.mw %% Generated: Wed Dec 20 20:49:19 2006 \documentclass{article} \usepackage{maple2e} \def\emptyline{\vspace{12pt}} \DefineParaStyle{Line Printed Output} \DefineParaStyle{Maple Output} \DefineCharStyle{2D Input} \DefineCharStyle{2D Math} \DefineCharStyle{2D Output} \DefineCharStyle{Text} \begin{document} \pagestyle{empty} \begin{maplegroup} \begin{flushleft} \mapleinline{active}{2d}{restart; 1; with(Student[Calculus1]); -1; infolevel[Student[Calculus1]] := 3; -1; assume(0 < x); 1; assume(`in`(lambda, nonnegint), 0 < lambda); 1;}{% $\mathit{restart}\,;\,1\,;\,\mathrm{with}({\mathit{Student}_{ \mathit{Calculus1}}})\,;\, - 1\,;\,{\mathit{infolevel}_} := 3\,;\, - 1\,;\,\mathrm{assume }(0 < x)\,;\,1\,;\,\mathrm{assume}(\lambda \,\ \textbf{in}\ \, \mathit{nonnegint}, \,0 < \lambda )\,;\,1$% } \end{flushleft}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \QTR{Text}{Note that as any pdf the exponential function integrates to 1} \end{flushleft}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \mapleinline{active}{2d}{Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-msubsup(Typesetting:-mo("&Integral;", form = "prefix", fence = "false", separator = "false", lspace = "0em", rspace = "0em", stretchy = "true", symmetric = "false", maxsize = "", minsize = "", largeop = "true", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mrow(Typesetting:-mn("0"), Typesetting:-mspace(height = "0.0 ex", width = "0.0 em", depth = "0.0 ex", linebreak = "newline"), Typesetting:-mi("")), Typesetting:-mn("&infin;"), superscriptshift = "0", subscriptshift = "0"), Typesetting:-mi(""), Typesetting:-mrow(Typesetting:-mi("lambda"), Typesetting:-mo("*", form = "infix", fence = "false", separator = "false", lspace = "thinmathspace", rspace = "thinmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mi("exp"), Typesetting:-mo("(", form = "prefix", fence = "true", separator = "false", lspace = "thinmathspace", rspace = "verythinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mo("-", form = "infix", fence = "false", separator = "false", lspace = "mediummathspace", rspace = "mediummathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mi("lambda"), Typesetting:-mo("*", form = "infix", fence = "false", separator = "false", lspace = "thinmathspace", rspace = "thinmathspace", stretchy = "false", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mi("x"), Typesetting:-mo(")", form = "postfix", fence = "true", separator = "false", lspace = "thinmathspace", rspace = "verythinmathspace", stretchy = "true", symmetric = "false", maxsize = "infinity", minsize = "1", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]")), Typesetting:-mi(""), Typesetting:-mo("&DifferentialD;", form = "", fence = "false", separator = "false", lspace = "", rspace = "", stretchy = "false", symmetric = "false", maxsize = "", minsize = "", largeop = "false", movablelimits = "false", accent = "false", font_style_name = "2D Input", size = "12", foreground = "[0,0,0]", background = "[255,255,255]"), Typesetting:-mi("x")), Typesetting:-mi("")), Typesetting:-mi(""));}{% $\mathit{Typesetting}:-\mathit{mrow}(\mathit{Typesetting}:- \mathit{mi}(\mbox{``''}), \,\mathit{Typesetting}:-\mathit{mrow}( \mathit{Typesetting}:-\mathit{mi}(\mbox{``''}), \,\mathit{ Typesetting}:-\mathit{mrow}(\mathit{Typesetting}:-\mathit{mi}( \mbox{``''}), \,\mathit{Typesetting}:-\mathit{msubsup}(\mathit{ Typesetting}:-\mathit{mo}(\mbox{``\&Integral;}, \,\mathit{form} =\mbox{``prefix}, \,\mathit{fence}=\mbox{``false}, \,\mathit{ separator}=\mbox{``false}, \,\mathit{lspace}=\mbox{``0em}, \, \mathit{rspace}=\mbox{``0em}, \,\mathit{stretchy}=\mbox{ ``true}, \,\mathit{symmetric}=\mbox{``false}, \,\mathit{ maxsize}=\mbox{``}, \,\mathit{minsize}=\mbox{``}, \,\mathit{ largeop}=\mbox{``true}, \,\mathit{movablelimits}=\mbox{ ``false}, \,\mathit{accent}=\mbox{``false}, \,\mathit{ font\_style\_name}=\mbox{``2D~Input}, \,\mathit{size}=\mbox{ ``12}, \,\mathit{foreground}=\mbox{``[0,0,0]}, \,\mathit{ background}=\mbox{``[255,255,255]''}), \,\mathit{Typesetting}:- \mathit{mrow}(\mathit{Typesetting}:-\mathit{mn}(\mbox{``0''}), \, \mathit{Typesetting}:-\mathit{mspace}(\mathit{height}=\mbox{``0.0 ~ex}, \,\mathit{width}=\mbox{``0.0~em}, \,\mathit{depth}= \mbox{``0.0~ex}, \,\mathit{linebreak}=\mbox{``newline}), \, \mathit{Typesetting}:-\mathit{mi}(\mbox{``''})), \,\mathit{ Typesetting}:-\mathit{mn}(\mbox{``\&infin;''}), \,\mathit{ superscriptshift}=\mbox{``0''}, \,\mathit{subscriptshift}=\mbox{ ``0}), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{``}), \, \mathit{Typesetting}:-\mathit{mrow}(\mathit{Typesetting}:- \mathit{mi}(\mbox{``lambda''}), \,\mathit{Typesetting}:-\mathit{ mo}(\mbox{``*}, \,\mathit{form}=\mbox{``infix}, \,\mathit{ fence}=\mbox{``false}, \,\mathit{separator}=\mbox{``false}, \,\mathit{lspace}=\mbox{``thinmathspace}, \,\mathit{rspace}= \mbox{``thinmathspace}, \,\mathit{stretchy}=\mbox{``false}, \,\mathit{symmetric}=\mbox{``false}, \,\mathit{maxsize}=\mbox{ ``infinity}, \,\mathit{minsize}=\mbox{``1}, \,\mathit{largeop }=\mbox{``false}, \,\mathit{movablelimits}=\mbox{``false}, \, \mathit{accent}=\mbox{``false}, \,\mathit{font\_style\_name}= \mbox{``2D~Input}, \,\mathit{size}=\mbox{``12}, \,\mathit{ foreground}=\mbox{``[0,0,0]}, \,\mathit{background}=\mbox{ ``[255,255,255]}), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{ ``exp}), \,\mathit{Typesetting}:-\mathit{mo}(\mbox{``(''}, \, \mathit{form}=\mbox{``prefix}, \,\mathit{fence}=\mbox{``true} , \,\mathit{separator}=\mbox{``false''}, \,\mathit{lspace}=\mbox{ ``thinmathspace}, \,\mathit{rspace}=\mbox{``verythinmathspace }, \,\mathit{stretchy}=\mbox{``true''}, \,\mathit{symmetric}= \mbox{``false}, \,\mathit{maxsize}=\mbox{``infinity}, \, \mathit{minsize}=\mbox{``1}, \,\mathit{largeop}=\mbox{``false }, \,\mathit{movablelimits}=\mbox{``false''}, \,\mathit{accent}= \mbox{``false}, \,\mathit{font\_style\_name}=\mbox{``2D~Input }, \,\mathit{size}=\mbox{``12''}, \,\mathit{foreground}=\mbox{ ``[0,0,0]}, \,\mathit{background}=\mbox{``[255,255,255]}), \, \mathit{Typesetting}:-\mathit{mo}(\mbox{``-''}, \,\mathit{form}= \mbox{``infix}, \,\mathit{fence}=\mbox{``false}, \,\mathit{ separator}=\mbox{``false''}, \,\mathit{lspace}=\mbox{ ``mediummathspace}, \,\mathit{rspace}=\mbox{``mediummathspace }, \,\mathit{stretchy}=\mbox{``false''}, \,\mathit{symmetric}= \mbox{``false}, \,\mathit{maxsize}=\mbox{``infinity}, \, \mathit{minsize}=\mbox{``1}, \,\mathit{largeop}=\mbox{``false }, \,\mathit{movablelimits}=\mbox{``false''}, \,\mathit{accent}= \mbox{``false}, \,\mathit{font\_style\_name}=\mbox{``2D~Input }, \,\mathit{size}=\mbox{``12''}, \,\mathit{foreground}=\mbox{ ``[0,0,0]}, \,\mathit{background}=\mbox{``[255,255,255]}), \, \mathit{Typesetting}:-\mathit{mi}(\mbox{``lambda}), \,\mathit{ Typesetting}:-\mathit{mo}(\mbox{``*}, \,\mathit{form}=\mbox{ ``infix}, \,\mathit{fence}=\mbox{``false}, \,\mathit{ separator}=\mbox{``false''}, \,\mathit{lspace}=\mbox{ ``thinmathspace}, \,\mathit{rspace}=\mbox{``thinmathspace}, \,\mathit{stretchy}=\mbox{``false''}, \,\mathit{symmetric}=\mbox{ ``false}, \,\mathit{maxsize}=\mbox{``infinity}, \,\mathit{ minsize}=\mbox{``1}, \,\mathit{largeop}=\mbox{``false}, \, \mathit{movablelimits}=\mbox{``false''}, \,\mathit{accent}=\mbox{ ``false}, \,\mathit{font\_style\_name}=\mbox{``2D~Input}, \, \mathit{size}=\mbox{``12''}, \,\mathit{foreground}=\mbox{ ``[0,0,0]}, \,\mathit{background}=\mbox{``[255,255,255]}), \, \mathit{Typesetting}:-\mathit{mi}(\mbox{``x}), \,\mathit{ Typesetting}:-\mathit{mo}(\mbox{``)}, \,\mathit{form}=\mbox{ ``postfix}, \,\mathit{fence}=\mbox{``true}, \,\mathit{ separator}=\mbox{``false}, \,\mathit{lspace}=\mbox{ ``thinmathspace}, \,\mathit{rspace}=\mbox{``verythinmathspace }, \,\mathit{stretchy}=\mbox{``true}, \,\mathit{symmetric}= \mbox{``false}, \,\mathit{maxsize}=\mbox{``infinity}, \, \mathit{minsize}=\mbox{``1}, \,\mathit{largeop}=\mbox{``false }, \,\mathit{movablelimits}=\mbox{``false}, \,\mathit{accent}= \mbox{``false}, \,\mathit{font\_style\_name}=\mbox{``2D~Input }, \,\mathit{size}=\mbox{``12}, \,\mathit{foreground}=\mbox{ ``[0,0,0]}, \,\mathit{background}=\mbox{``[255,255,255]})), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{``}), \,\mathit{ Typesetting}:-\mathit{mo}(\mbox{``\&DifferentialD;}, \,\mathit{ form}=\mbox{``}, \,\mathit{fence}=\mbox{``false}, \,\mathit{ separator}=\mbox{``false}, \,\mathit{lspace}=\mbox{``}, \, \mathit{rspace}=\mbox{``}, \,\mathit{stretchy}=\mbox{``false} , \,\mathit{symmetric}=\mbox{``false''}, \,\mathit{maxsize}= \mbox{``}, \,\mathit{minsize}=\mbox{``}, \,\mathit{largeop}= \mbox{``false}, \,\mathit{movablelimits}=\mbox{``false}, \, \mathit{accent}=\mbox{``false''}, \,\mathit{font\_style\_name}= \mbox{``2D~Input}, \,\mathit{size}=\mbox{``12}, \,\mathit{ foreground}=\mbox{``[0,0,0]''}, \,\mathit{background}=\mbox{ ``[255,255,255]''}), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{ ``x})), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{``})), \, \mathit{Typesetting}:-\mathit{mi}(\mbox{``''}))$% } \end{flushleft}

\mapleresult \begin{maplelatex} \mapleinline{inert}{2d}{1;}{% \[ 1 \] % } \end{maplelatex}

\end{maplegroup} \begin{maplegroup} \begin{mapleinput} \mapleinline{active}{1d}{print(}{% }[LABEL REFERENCE NOT SUPPORTED] \mapleinline{active}{1d}{);}{% } \end{mapleinput}

\mapleresult \begin{maplelatex} \mapleinline{inert}{2d}{1;}{% \[ 1 \] % } \end{maplelatex}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \mapleinline{active}{2d}{with(Student[Calculus1]); -1; infolevel[Student[Calculus1]] := 1; -1;}{% $\mathrm{with}({\mathit{Student}_{\mathit{Calculus1}}})\,;\, - 1 \,;\,{\mathit{infolevel}_{{\mathit{Student}_{\mathit{Calculus1}}} }} := 1\,;\, - 1$% } \end{flushleft}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \end{flushleft}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \mapleinline{active}{2d}{with(Student[Calculus1]); -1; infolevel[Student[Calculus1]] := 1; -1;}{% $\mathrm{with}({\mathit{Student}_{\mathit{Calculus1}}})\,;\, - 1 \,;\,{\mathit{infolevel}_{{\mathit{Student}_{\mathit{Calculus1}}} }} := 1\,;\, - 1$% } \end{flushleft}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \mapleinline{active}{2d}{Int(x*lambda*exp(-lambda*x), x = 0 .. infinity); 1; Hint(\%); 1; Rule[\%](`\%\%`); 1;}{% $\int _{0}^{\infty }x\,\lambda \,e^{( - \lambda \,x)}\,dx\,;\,1\, )\,;\,1$% } \end{flushleft}
 * \,\mathrm{Hint}(\%)\,;\,1\,;\,{\mathit{Rule}_{\%}}(\mathit{\%\%}

\mapleresult \begin{maplelatex} \mapleinline{inert}{2d}{Int(x*lambda*exp(-lambda*x),x = 0 .. infinity);}{% \[ {\displaystyle \int _{0}^{\infty }} \mathit{x\symbol{126}}\, \lambda \symbol{126}\,e^{( - \lambda \symbol{126}\,\mathit{x \symbol{126}})}\,d\mathit{x\symbol{126}} \] % } \end{maplelatex}

\begin{maplettyout} Creating problem #4 \end{maplettyout}

\begin{maplelatex} \mapleinline{inert}{2d}{[constantmultiple];}{% \[ [\mathit{constantmultiple}] \] % } \end{maplelatex}

\begin{maplelatex} \mapleinline{inert}{2d}{CALCULUS1OBJECT([4, [], []],\{x, lambda\}) = lambda*Int(x*exp(-lambda*x),x = 0 .. infinity);}{% \[ \mathrm{CALCULUS1OBJECT}([4, \,[], \,[]], \,\{\mathit{x \symbol{126}}, \,\lambda \symbol{126}\})=\lambda \symbol{126}\, {\displaystyle \int _{0}^{\infty }} \mathit{x\symbol{126}}\,e^{( - \lambda \symbol{126}\,\mathit{x\symbol{126}})}\,d\mathit{x \symbol{126}} \] % } \end{maplelatex}

\end{maplegroup} \begin{maplegroup} \begin{mapleinput} \mapleinline{active}{1d}{print(}{% }[LABEL REFERENCE NOT SUPPORTED] \mapleinline{active}{1d}{);}{% } \end{mapleinput}

\mapleresult \begin{maplelatex} \mapleinline{inert}{2d}{CALCULUS1OBJECT([4, [], []],\{x, lambda\}) = lambda*Int(x*exp(-lambda*x),x = 0 .. infinity);}{% \[ \mathrm{CALCULUS1OBJECT}([4, \,[], \,[]], \,\{\mathit{x \symbol{126}}, \,\lambda \symbol{126}\})=\lambda \symbol{126}\, {\displaystyle \int _{0}^{\infty }} \mathit{x\symbol{126}}\,e^{( - \lambda \symbol{126}\,\mathit{x\symbol{126}})}\,d\mathit{x \symbol{126}} \] % } \end{maplelatex}

\end{maplegroup} \begin{maplegroup} \begin{flushleft} \mapleinline{inert}{2d}{Typesetting:-mrow(Typesetting:-mi(""), Typesetting:-mspace(height = "0.0 ex", width = "0.0 em", depth = "0.0 ex", linebreak = "newline"), Typesetting:-mi(""));}{% $\mathit{Typesetting}:-\mathit{mrow}(\mathit{Typesetting}:- \mathit{mi}(\mbox{``}), \,\mathit{Typesetting}:-\mathit{mspace} (\mathit{height}=\mbox{``0.0~ex}, \,\mathit{width}=\mbox{``0.0~ em}, \,\mathit{depth}=\mbox{``0.0~ex}, \,\mathit{linebreak}= \mbox{``newline''}), \,\mathit{Typesetting}:-\mathit{mi}(\mbox{ ``''}))$% } \end{flushleft}

\end{maplegroup} \end{document} %% End of Maple 10.00 Output