4
The diagram below shows part of the graph of y =
along with the point (2,0.5) on the graph.
15
(2.0.5)
OS
-
..
The diagram also shows a rectangle with sides parallel to the axes, one vertex is the given point and the opposite vertex on the branch of the graph in the
third quadrant
(a) Find the position of the vertex in the third quadrant that gives the rectangle with the smallest possible area.
(b) Calculate this smallest possible area.
121
(e) Suppose that a similar rectangle with opposite verices
1
(- :) -- ~ 5) where a > 0) and < 0) has the same area. Find a relationship between a
and b.
141
Maximum mark: 11)
