The curve C has parametric equations
(i) Sketch C, labeling all axial intercepts(s).
(ii) Find the equation of the tangent to the curve when t=1, leaving your answer in terms of e.
(iii) The normal to the curve C at point is parallel to the x-axis and intersects the y-axis at point S (0,s), where s<1. Find the exact value of p.
(iv) Find the area of the region bounded by the curve C and the y-axis.