(a)[4]
Find the coordinates for $A$ and $B$.
(b)[5]
Hence find the shaded region's area.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The diagram presents the curves with equations $y = 2x^{\frac{1}{2}} + 13x^{-\frac{1}{2}}$ and $y = 3x^{\frac{1}{2}} + 12$. The points where these curves cross are $A$ and $B$.