(i)[2]
Find the coordinates of $B$ and $C$.
(ii)[4]
Find the equation of the normal to the curve at $C$.
(iii)[5]
Find the volume obtained when the shaded region is rotated through $360^\circ$ about the $y$-axis.
Mathematics 9709 · AS & A Level · Integration
Integration — practice question
The diagram depicts the curve $y = \sqrt{1 + 2x}$, which crosses the $x$-axis at $A$ and the $y$-axis at $B$. The $y$-coordinate of point $C$ on the curve is $3$.