(a)[1]
Fill in the table for $y = 3 + 2x - \frac{x^3}{5}$.
(b)[3]
Draw the curve for $y = 3 + 2x - \frac{x^3}{5}$ over $-4 \le x \le 4$.
(c)[2]
By drawing a tangent, estimate the gradient of the graph of $y = 3 + 2x - \frac{x^3}{5}$ at $(1, 4.8)$.
(d(i))[2]
On the grid, plot the line $2y + x = 8$.
(d(ii))[2]
Write down the $x$-coordinates of the points at which the line intersects the graph of $y = 3 + 2x - \frac{x^3}{5}$.
(d(iii))[3]
These $x$-coordinates solve the equation $2x^3 + Ax + B = 0$. Find the value of $A$ and the value of $B$.