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Question 3 [23 Marks] a) How large should we take n E N in order to guarantee that the Trapezoidal rule approximation for 30 + 2022x ) dx is accurate to within 10-3. [6] b) Sketch a graph, then use it to find the area enclosed by the line y = x - 1 and the parabola y? = 2x + 6 in the following manner: (i) integrating with respect to z. [6] (ii) integrating with respect to y. [4] c) Find the volume of the solid obtained by rotating the region bounded by y = 1 + sec x for -