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Year 12 Maths Extension 1. A free paper for every topic.

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Year 12 Extension 1

6 topics, 86 subtopics

    • Bernoulli Trials and Bernoulli DistributionsComing soon
    • Mean and Variance of a Bernoulli DistributionComing soon
    • Binomial Experiments and Binomial Random VariablesComing soon
    • Binomial ProbabilitiesComing soon
    • Expected Frequencies from a Binomial ExperimentComing soon
    • Mean and Variance of a Binomial DistributionComing soon
    • Solving Practical Binomial ProblemsComing soon
    • Populations, Samples and Sample StatisticsComing soon
    • The Sample Mean and Sampling DistributionsComing soon
    • Mean and Variance of the Sample MeanComing soon
    • Effect of Sample Size on the Variance of Sample MeansComing soon
    • The Central Limit TheoremComing soon
    • Probabilities for the Sample Mean Using the Central Limit TheoremComing soon
    • Multiplicity of Zeros Using the DerivativeComing soon
    • Multiplicity and the Shape of a Curve at a ZeroComing soon
    • Graphing Polynomials in Factored FormComing soon
    • Related Rates with Given FormulasComing soon
    • Modelling Related Rates with the Chain RuleComing soon
    • Forming and Verifying dQ/dt = k(Q − P)Coming soon
    • Graphs of Q = P + Ae^(kt)Coming soon
    • Newton's Law of Cooling and Limited Growth ProblemsComing soon
    • Areas Between CurvesComing soon
    • Volumes of Revolution About the x-AxisComing soon
    • Volumes of Revolution About the y-AxisComing soon
    • Volumes of Regions Between Two CurvesComing soon
    • Differential Equations, Order and SolutionsComing soon
    • Slope Fields and Solution CurvesComing soon
    • Matching Slope Fields and Differential EquationsComing soon
    • Solving dy/dx = f(x) and dy/dx = g(y)Coming soon
    • Exponential Growth and Decay Differential EquationsComing soon
    • Separation of VariablesComing soon
    • The Logistic EquationComing soon
    • Modelling with Differential EquationsComing soon
    • Derivatives of Parametric FunctionsComing soon
    • Derivatives of Inverse FunctionsComing soon
    • Derivatives of Inverse Trigonometric FunctionsComing soon
    • Product, Quotient and Chain Rules with Inverse Trigonometric FunctionsComing soon
    • Integrals Giving Inverse Trigonometric FunctionsComing soon
    • Integration by Substitution: Indefinite IntegralsComing soon
    • Integration by Substitution: Definite IntegralsComing soon
    • Integration by Substitution with x as the SubjectComing soon
    • Integrals of sin² nx and cos² nxComing soon
    • Vectors, Directed Line Segments and NotationComing soon
    • Representing Vectors and Equal VectorsComing soon
    • Points in Three Dimensions and Coordinate PlanesComing soon
    • Midpoint and Distance Formulas in 2D and 3DComing soon
    • Zero Vector, Unit Vectors and i, j, kComing soon
    • Two-Dimensional Vectors in Component FormComing soon
    • Three-Dimensional Vectors in Component FormComing soon
    • Scalar Multiples of VectorsComing soon
    • Parallel and Perpendicular Vectors in Component FormComing soon
    • Adding and Subtracting VectorsComing soon
    • Magnitude and Unit VectorsComing soon
    • The Scalar Product in Component FormComing soon
    • Geometric Form of the Scalar ProductComing soon
    • Angle Between Two VectorsComing soon
    • Perpendicular and Parallel Vectors Using the Scalar ProductComing soon
    • Projection of a VectorComing soon
    • Component of a Vector Perpendicular to AnotherComing soon
    • Vector Proofs Using ProjectionsComing soon
    • Position and Displacement Vectors in MotionComing soon
    • Cartesian Equation of the Path of an ObjectComing soon
    • Motion with Constant VelocityComing soon
    • Relative Velocity with Crosswinds and CurrentsComing soon
    • Velocity and Acceleration Vectors by DifferentiationComing soon
    • Position and Velocity Vectors by IntegrationComing soon
    • Deriving the Equations of Projectile MotionComing soon
    • Cartesian Equation of a Projectile's PathComing soon
    • Features of the Flight of a ProjectileComing soon
    • Projectiles with Unknown Speed or AngleComing soon
    • Horizontal Line Test and Domain RestrictionsComing soon
    • Defining the Inverse Trigonometric FunctionsComing soon
    • Evaluating Inverse Trigonometric ExpressionsComing soon
    • Graphing the Inverse Trigonometric FunctionsComing soon
    • Symmetry Properties of Inverse Trigonometric FunctionsComing soon
    • Applying Inverse Trigonometric IdentitiesComing soon
    • Composite Functions of the Form sin(sin⁻¹ x)Coming soon
    • Composite Functions of the Form sin⁻¹(sin x)Coming soon
    • Describing Transformations of Inverse Trigonometric FunctionsComing soon
    • Graphing Transformed Inverse Trigonometric FunctionsComing soon
    • Structure of an Inductive ProofComing soon
    • Proving Sums of Series by InductionComing soon
    • Sums with Fractions, Powers and FactorialsComing soon
    • Divisibility Proofs with a Single PowerComing soon
    • Divisibility with Mixed Bases and ExponentsComing soon
    • Identifying Errors in False ProofsComing soon

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