(a)[2]
Fill in the values in the table.
(b)[4]
On the grid, draw the graph of $y = \frac{x^3}{8} - \frac{2}{x^2}$ for $0.5 \le x \le 3.5$.
(c)[1]
Use your graph to solve $\frac{x^3}{8} - \frac{2}{x^2} = 0$.
(d(i))[1]
Write down a value of $k$ for which the equation has one solution.
(d(ii))[1]
Write down a value of $k$ for which the equation has three solutions.
(e)[3]
By drawing an appropriate tangent, estimate the gradient of the curve at $x = -3$.
(f(i))[3]
By drawing a suitable line on the grid, find $x$ when $\frac{x^3}{8} - \frac{2}{x^2} = 6 - x$.
(f(ii))[4]
Find the values of $a$, $b$ and $c$.