Paper 1 October/November 2003 MATHEMATICH (9709/1) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The diagram shows the curve $y = \surd \left( {1 + 2x} \right)$ meeting the x-axis at $A$ and the y-axis at $B$. The y-coordinate of the point $C$ on the curve is 3.
a) Find the coordinates of $B$ and $C$.
b) Find the equation of the normal to the curve at $C$.
c) Find the volume obtained when the shaded region is rotated through ${360^ \circ }$ about the y-axis.