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\title{Homework 13}
\author{Menyoung Lee}
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\begin{document}
\maketitle
\subsection*{EX 6}
\paragraph{a} ${3, 1, 4} \>	{\-13, 1, \-14},	\l_c = 1,	K \< \-13$.
\paragraph{b} ${3, 1, 4} \>	{-\-12, -\-14, -1},	\l_c = 4,	K \< \-12$.
\paragraph{c} ${3, 1, -4} \>	{\-13, 1, -\-14},	\l_c = 1,	K \< \-13$.
\paragraph{d} ${-1, 2, 4} \>	{-1, \-12, \-14},	\l_c = -1,	K \< \-12$.
\paragraph{e} ${-1, 2, 4} \>	{-\-12, 1, \-13},	\l_c = 2,	K \< \-12$.
\paragraph{f} ${1, 9, 10} \>	{-\-15, \-13, \-14},	\l_c = 9,	K \< \-34$.
\paragraph{g} ${1, 9, 10} \>	{-\-17, 1, \-12},	\l_c = 9,	K \< \-12$.
\subsection*{CP 2}
\paragraph{a} $\l_c = 0.99999715098363,	K = 0.24999928775265$.
\paragraph{b} $\l_c = 4.00000381470212,	K = 0.24999904630143$.
\paragraph{c} $\l_c = 1.00000357628124,	K = 0.25000089407999$.
\paragraph{d} $\l_c = -1.00146913843225,	K = 0.49951801292794$.
\paragraph{e} $\l_c = 1.99997459704563,	K = 0.33332486569483$.
\paragraph{f} $\l_c = 8.95590239564946,	K = 0.73897559891240$.
\paragraph{g} $\l_c = 8.99926704129000,	K = 0.49963352064595$.
\subsection*{CP 4}
\paragraph{a} $\l_c = 1.00000000000000$.
\paragraph{b} $\l_c = 3.00000000000001$.
\paragraph{c} $\l_c = 2.00000000000000$.
\paragraph{d} $\l_c = 10.00000000000000$.
Much better.
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