The equation of a curve is given as y = 2×3 —9/2 x2 — 15x + 3. (a) Find: (i) the value of y when x = 2; (2 marks) (ii) the equation of the tangent to the curve at x = 2. (4 marks) (b) Determine the turning points of the curve.

The equation of a curve is given as y = 2x3 —9/2 x2 — 15x + 3.

(a) Find:

(i) the value of y when x = 2;

(ii) the equation of the tangent to the curve at x = 2.

(b) Determine the turning points of the curve.