Consider the curve given by the equation 4e\" 4813; + 1 = 0, where O 5 a: 5 1 . (a) Find the arc length of this curve. [5 marks 03) Find the area bounded by this curve together with the lines 3; = 0, .1: = 0, and :1: = 1. [5 marks (c) Find the area of the surface obtained by rotating this curve about the :raxis. [5 marks (d) Find the volume of the solid obtained by rotating the area in 3(b) about the Iaxis. [5 marks (e) Find the volume of the solid obtained by rotating the area in 3(b) about the yaxis. [5 marks