Question 8 (10 marks) a) Given that the equation of a curve is y = 5e-2x sin3x i) Find ay (3 marks) ii ) Find the exact value of the gradient of a tangent to the curve at the point where x = 0. (1 mark) iii) Hence, find the exact equation of the tangent to the curve at the point where x = 0. (3 marks) b) Find the exact area bounded by the curve y = 4x* + 5, x - axis, y axis and the line x = 13 (3 marks) Page 5 of 7 XI