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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,331 prompts matching "find the gradient of y = x^3 - 4x at the point where x = 2"

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Worked Example: The identity that A times its adjoint gives the determinant times the identity

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Learn: Swapping and negating the entries when inverting a 2 by 2 matrix

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Explain Back: Solving two simultaneous equations by multiplying by the inverse

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Practice: What a singular coefficient matrix says about the equations

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Quiz: Solving three simultaneous equations with the inverse matrix

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Practice: Comparing the inverse method with elimination for three equations

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Practice: Limiting friction, and the greatest value it can reach

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Quiz: The situations a Poisson distribution models

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Explain Back: Testing whether data are Poisson by comparing mean and variance

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Quiz: The area under the normal curve, and what it represents

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Learn: The probability that a normal variable lies between two values

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Practice: Using the normal tables when the z-score is negative

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Spot My Mistake: When the normal distribution may approximate the binomial

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Worked Example: The continuity correction when approximating a discrete distribution

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Spot My Mistake: Dividing one complex number by another using the conjugate

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Worked Example: The quotient rule for differentiation

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Quiz: Using the initial conditions to fix the constants in a kinematics problem

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Practice: The sign convention for displacement, velocity and acceleration

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Explain Back: The greatest height reached by a body thrown upwards

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Practice: The rank correlation coefficient

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