Question 3 (a) Find the length of the curve y = ln(cos x) for -x [7] (b) Find the area of the surface generated by revolving the curve of a Cycloid with parametric equations about the line y = 2. (x(t) = t - sint (y(t) = 1 - cost 0st 2t Question 4 Given five points A(1,0,2), B(3, 1, 1), C(4,2,-1), D(2,3,1) and E(2,3,0) in R. Use vector methods to answer the following questions. (a) Find the angle ZBAC. (b) Find the equation of the plane containing the points A, B and E. (c) [8] [4] [6] Suppose that line L passes through points A and B, and that line L passes through points C and D. Find the shortest distance between line L and line L2. [7]