Identifying the relation between two expressions. Indicate, for each pair of expressions

$($A$,$ B$)$ in the table below, whether A is $\backslash$Theta $,$ O$,\backslash$Omega $,$ o$,$ or $\backslash$omega of B$.$ Assume that k $>=1,>0,$ and

c $>1$ are constants. Justify your answers. Present the final answers in the form of the

table with $$yes$$ or $$no$$ in each cell. $(15$ points$)$

A B $\backslash$Theta O $\backslash$Omega o $\backslash$omega

n

lg c c

lg n

lgkn n

e

n

$1/2$ n

sin