The equation of a curve is

i. Find an expression for dy/dx and determine, with a reason, whether the curve has any stationary points.
ii. Find the volume obtained when the region bounded by the curve, the coordinate axes and the line x = 1 is rotated through 360° about the x-axis.
iii. Find the set of values of k for which the line y = x + k intersects the curve at two distinct points.

Transcribed Image Text:

y = 9 2-x