Question 12 (2+ 2 + 3 =7 marks) Consider the region bounded by the curve y = 27x - x4 and the x-axis. (a) Use the trapezoidal rule with six intervals to find an approximation for the area of the region. (b) Use Simpson's Rule with six intervals to find an approximation for the area of the region. (c) Find the exact area of the region. Which of the methods used in the previous two parts provides us with a more accurate approximation for the area