Pure Mathematics: a Second Course

2x dx ABCD ascending powers axes centre centroid change of variable chord circle common axis complex numbers cos² cos³ cosec cosh curve deduce diameter differential equation directrix distance dy dx ellipse Evaluate Example Exercise expression Find the equation Find the following Find the locus Find the values following integrals formula frustum function given gradient height h Hence inertia latus rectum length Ma² mass method mid-point moment of inertia obtain orthogonal parabola parabola y²=4ax parallel partial fractions perpendicular plane projection Prove radical axis radius right angles right circular cone roots sec² Show sides sin-¹ sin² sin³ sinh Sketch the graph skew lines solution Solve the equation sphere straight line substitution tan-¹ tangent tetrahedron theorem vertex viii Write x dx x-axis x²+1 y₁