Find the asymptotes, if any, of each of the following curves given by the equations: (i) `y=(x-2)/x` (iii) `y=x/(x^2+2)`

Find the asymptotes of the following curves : y = x+ (sin x)//x

Find the asymptotes of the following curves: f(x) = (x^(2))/(x+1)

Find the asymptotes of the following curves : y = 2x - arc cos . 1/x

Draw the graph of each of the following given equations: (i) y=3x, (ii) x=2y , (iii) x+3y=0 ,(iv)2x+3y=0

Find the order and degree, if defined, of each of the following differential equations: i) (d y)/(d x)-cos x=0 ii) x y( (d^2 y)/(d x^2))+x((dy)/(dx))^2-y (dy)/(dx)=0 iii) y'''+y^2+e^y=0