(a)[6]
Find the area enclosed by the two curves.
(b)[4]
At the point $(1, 1)$ on the curve $y = x^{-\frac{1}{2}}$, the normal crosses the $y$-axis at $(0, p)$. Find the value of $p$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram presents the curves with equations $y = x^{-\frac{1}{2}}$ and $y = \dfrac{5}{2} - x^{\frac{1}{2}}$. The two curves cross at the points $A\left(\dfrac{1}{4}, 2\right)$ and $B\left(4, \dfrac{1}{2}\right)$.