(a)[3]
Fill in the table.
(b)[4]
On the grid, sketch the graph of $y = \frac{1}{2x} - \frac{x}{4}$ for $0.15 \le x \le 3.5$. The final two points are already marked.
(c)[1]
Use your graph to solve $\frac{1}{2x} - \frac{x}{4} = \frac{1}{2}$ for $0.15 \le x \le 3.5$.
(d(i))[2]
On the grid, sketch the line $y = 2 - x$.
(d(ii))[2]
State the $x$-coordinates of the points at which the line $y = 2 - x$ intersects the graph of $y = \frac{1}{2x} - \frac{x}{4}$ for $0.15 \le x \le 3.5$.
(e)[2]
Show that the graph of $y = \frac{1}{2x} - \frac{x}{4}$ may be used to determine the value of $\sqrt{2}$ for $0.15 \le x \le 3.5$.