(a(i))[2]
Find the value of $a$ together with the value of $b$.
(a(ii))[1]
Write down the equation of the tangent line at $(0,4)$.
(a(iii))[2]
Find the equation of the tangent line at $x=1$.
(b(i))[3]
Complete the table.
(b(ii))[4]
On the grid, sketch the graph of $y = 1 + \frac{5}{3-x}$ for $-2 \leq x \leq 1.5$.
(c(i))[2]
Write down the $x$-values where the two graphs meet.
(c(ii))[4]
Find this equation in the form $ax^3 + bx^2 + cx + d = 0$, where $a$, $b$, $c$ and $d$ are integers.