A curve is given by the parametric equations

1. Show that

   $$\frac{dy}{dx}={(1+\frac{1}{t})}^2$$

2. Show that, in Cartesian form, the equation can be given as

   $$y=\frac{ax+b}{2-x}$$

   where $a,b\in \mathbb{Z}$ are constants to be determined.

For (a), you will need the quotient rule.

For (b), rearrange

to make $t$ the subject, and then substitute this into $y$.

Give the value of $10a+b$.