(a)[2]
Complete the value table for $y = \frac{x^3}{3} - x^2 + 1$.
(b)[4]
Draw the graph of $y = \frac{x^3}{3} - x^2 + 1$ for $-1.5 \le x \le 3$.
(c(i))[3]
Solve for $x$ in $\frac{x^3}{3} - x^2 + 1 = 0$.
(c(ii))[2]
Solve for $x$ in $\frac{x^3}{3} - x^2 + x + 1 = 0$.
(d(i))[2]
Write down the equation for each tangent.
(d(ii))[1]
For $0 \le x \le 3$, write down the least possible value of $y$.