| Exam Board | SPS |
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| Module | SPS FM Pure (SPS FM Pure) |
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| Year | 2023 |
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| Session | September |
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| Topic | Volumes of Revolution |
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8. A curve has equation \(y = 2 + \mathrm { e } ^ { \frac { 1 } { 2 } x }\). The region \(R\) is bounded by the curve and by the straight lines \(x = 0 , x = 4\) and \(y = 0\). Find the exact volume of the solid obtained when \(R\) is rotated completely about the x-axis.
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