Paper 1 October/November 2010 MATHEMATICS (9709/12) A Levels
لطفا برای اطمینان از عملکرد و تجربه بهتر از مرورگرهای مدرن و به روز مانند کروم یا فایرفاکس استفاده کنید.

The equation of a curve is $y = \surd \left( {8x - {x^2}} \right)$. Find
a) an expression for $\frac{{dy}}{{dx}}$, and the coordinates of the stationary point on the curve,
b) the volume obtained when the region bounded by the curve and the x-axis is rotated through ${360^ \circ }$ about the x-axis.