Graph the curve defined by the given parametric equations and indicate the orientation. For $($a$)($d$),$ eliminate the parameter to convert the parametric equations to a single equation in rectangular coordinates.

$($a$)x=4-t,y=\sqrt[\phantom{2}]{t}-1,t0$

$($b$),x(t)=2sint,y(t)=5cost,0t2$

$($c$),x(t)=co{s}^{2}t,y(t)=cost,0t2,x(t)=sin(2t),y(t)=cost,0t2x(t)=3sect,y(t)=2tant,-\frac{}{2}$

$(d),x(t)=co{s}^{2}t,y(t)=cost,0t2$

$(e),x(t)=sin(2t),y(t)=cost,0t2$