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integration calculus curve sketching complex numbers polynomials trigonometry series parabola quadratic algebra locus motion euclidean geometry geometry inequalities induction conics inverse trig dynamics binomial theorem probability parametrics circle geometry volumes quadratics functions factorising logarithms trig functions binomial surds rates of change hyperbola differentiation permutations linear function trig trig equations circular motion inverse functions arithmetic function growth & decay acceleration theorems ellipse sum permutation sums linear area t results geometric cartesian geometry equations combinations discriminant exponentials roots & coefficients angle areas means conjugates argand diagram tangent quadrilaterals roots of unity volume gradient limits geometric series polynomial mathematical induction parametric absolute value divisibility maxima angle theorems conical pendulum algebraic fractions chord parameters slope definite integral roots trig identities irrational cubics rational arithmetic series mod arg form indices shm double angles simultaneous equations de moivres quadratic equations velocity normal discs washers concavity by parts substitution asymptotes chord of contact real numbers displacement inequalties rates binomial products minima exponential vectors identities approximations polynomial division banked curves partial fractions triangle theorems circles congruent triangles cylindrical shells projectile motion theorem radians graphs transversals first principles resisted motion angle between lines quadratic denominators finance formulas point formula matrices symmetry distance projectile triangles finance multiple roots arcs & sectors banked curve differentiating division shells comlpex numbers regions similarity indefinite integral expansions product rule circular cosine rule sine rule reduction formula 3d trig chain rule harder extension quotient rule rectangular hyperbola implicit differentaition range domain permuatations chords tangents normals compound angles critical points approximations to roots perpendicular distance products converse derivative chain sketching curve second principles first intercepts banked curves conical tangnt pendulum triangle straight line congruent circle lines lamda perpendicular a=f(x) similar sections parallel cross interval cylindrical tresults auxiliary denominators primitive partial fractions between asymptote growth decay sector arc inequations derivative on function idivisibility maxima & minima critical first derivative quotient continuity circular maotion congruency ratio elleipse hyperbols newton approximate curve sketch ind polynom approximation integtaion trig identituies mod arg fina alternate segment theorem primitive function cicle geometry second derivative curve sketchin definite binomial probability products to sums coefficients terms binomial expansion binomial product radian dynamic simple harmonic motion coordinate geometry alternate segment coefiicients quadraticsmaximum minimum product rule similar triangles slicing integrations euler counting principle general solutions transformations point slope division of interval geometric properties completing the square log laws polynomials factor remainder theorems polynomials curve sketching paramterics difference powers comp poynomials mod world series prod tri intersection resistance parallel crosssections division of an interval reduction trig ratios simultaneous inequation equation factors logarithm polynomialsroots de moivre remainder theorem factor theorem product of intercepts