| Exam Board | CAIE |
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| Module | FP1 (Further Pure Mathematics 1) |
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| Year | 2013 |
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| Session | November |
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| Topic | Integration with Partial Fractions |
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7 The curve \(C\) has equation
$$y = \frac { 2 x ^ { 2 } + 5 x - 1 } { x + 2 }$$
Find the equations of the asymptotes of \(C\).
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } > 2\) at all points on \(C\).
Sketch C.