$(9).$ Use the Intermediate Value Theorem to show that there is a solution of the equation in the given interval. x$^(5)-$x$^(3)+3$x$-5=0,$ Interval $(1,2)$

$(10).$ Use the Intermediate Value Theorem to show that there is a solution of the equation in the given interval. Assume the function is continuous in the interval. cos$\backslash$sqrt$($x$)=$e$^($x$)-2,$ Interval $(0,1)$

$(11).$ Find the slope of the tangent line to the curve: y$=9-2$x$^(2)$ at the point $(2,1).$ Find the equation of the tangent line.