## Further Pure Mathematics, Volume 2Drawing on over 10 years' experience of publishing for Edexcel maths, Heinemann Modular Maths for Edexcel AS and A Level brings you dedicated textbooks to help you give your students a clear route to success, now with new Core maths titles to match the new 2004 specification. Further Pure 2 replaces Pure 5 in the new specification. |

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### Contents

Hyperbolic functions | 1 |

Differentiation | 13 |

Integration | 27 |

Coordinate systems | 71 |

Review exercise | 113 |

Examination style paper FP2 | 131 |

List of symbols and notation | 141 |

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angle answer in terms arc length arccos arcosh arcsin arctan arsinh artanh asymptotes cartesian equation cartesian form cos2 cosech cosh x cosh x cosh cosh.v cosh2 coth curve given curve with equation d.v d.v Differentiate with respect directrices Edexcel ellipse with equation equation v2 equation xy equation y Example Exercise Find a cartesian Find an equation Find the area Find the coordinates Find the radius find the value focus giving your answer gradient Hence evaluate Hence find hyperbola with equation hyperbolic identity integral intrinsic coordinates intrinsic equation inverse function inverse hyperbolic functions line with equation locus of Q meets the v-axis natural logarithms numbers parabola with equation parametric coordinates parametric equations point Q positive constant Prove radius of curvature rectangular hyperbola reduction formula rotated completely sech sech.v significant figures sin2 sinh A cosh sinh.v sinh2 Solve the equation substitution tan2 tangent tanh tanh.v v-coordinates