$9.$ The point Ps$1,0$d lies on the curve y sins$10$yxd$.($a$)$ If Q is the point sx$,$ sins$10$yxdd$,$ find the slope of thesecant line PQ $($correct to four decimal places$)$ for x $2,1\mathrm{.}5,1\mathrm{.}4,1\mathrm{.}3,1\mathrm{.}2,1\mathrm{.}1,0\mathrm{.}5,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8,$ and $0\mathrm{.}9.$ Do the slopes appear to be approaching a limit$?$