From the same paper as the previous two questions, here is the hardest question (as measured by marks on offer – 12):
Sketch the curve given parametrically by ,
Show that an equation of the normal to the curve at the point is
This normal meets the x-axis at the point . Find the area of the region enclosed by the arc of the curve, the line segment and the x-axis.
While I can see the ideas behind each part of this question I am not at all sure where to begin with it.
For background, by the marking scheme you should take about 16 minutes to answer this – (and about 5 minutes per question for the earlier two). No pressure then.