2019 NJC Promo Q4

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Timothy Gan

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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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Published: 13th December 2022

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