(a)[1]
Fill in the table for $y = \frac{x}{4} + \frac{2}{x}$. The values of $y$ are shown correct to $2$ decimal places where needed.
(b)[3]
On the grid, draw the graph of $y = \frac{x}{4} + \frac{2}{x}$ for $0.5 \le x \le 7$.
(c)[2]
By using a tangent, estimate the gradient of $y = \frac{x}{4} + \frac{2}{x}$ when $x = 1$.
(d(i))[2]
On the grid, draw the graph of $2y + x = 6$.
(d(ii))[2]
Write down the $x$-coordinates of the points where the graphs $2y + x = 6$ and $y = \frac{x}{4} + \frac{2}{x}$ meet.
(d(iii))[3]
These $x$-coordinates are the solutions of $3x^2 + Ax + B=0$. Use $2y + x = 6$ together with $y = \frac{x}{4} + \frac{2}{x}$ to determine $A$ and $B$.