2019 NJC Promo Q4
A curve $C$ has equation $y={{\text{e}}^{x}}$.
(a)
Find the exact volume of revolution when the region bounded by $C$, the line $y=3$ and the $y$-axis is rotated completely about the $y$-axis.
[5]
(b)
Describe a pair of transformations which transforms the curve with equation $y={{\text{e}}^{1+2x}}$ on to the curve $C$.
[2]
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