2006 HCI Promo Q13
Sketch the graph of $y=\frac{1}{{{\left( x-2 \right)}^{2}}}-1$ , showing clearly all asymptotes.
[2]
The region $R$ is bounded by $x-$axis and the curve from $x=0$ to $x=\frac{3}{2}$.
(i)
Find the exact value of the area of $R$.
[3]
(ii)
The region $R$ is rotated $2\pi $ radians about the $y$-axis. Find the volume of the solid generated, giving your answer correct to $3$ decimal places.
[4]
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