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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,327 prompts matching "Real-life application of the condition for a line to be tangent to a curve"

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Learn: Solving two simultaneous equations by Cramer's rule

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Spot My Mistake: Checking a Cramer's rule solution by substituting back

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Practice: Why a 2 by 2 matrix with determinant nought cannot be inverted

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Quiz: Checking a 3 by 3 inverse by multiplication

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Learn: Inertia, and what mass actually measures

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Explain Back: A particle hanging from two strings set at different angles

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Practice: Using a binomial expansion to approximate a number

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Explain Back: Finding n and p from a given mean and variance

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Learn: Finding lambda from a stated mean

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Explain Back: Converting a value to a z-score

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Worked Example: Finding a value from a given probability by working backwards

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Quiz: Writing a two-dimensional vector as a column

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Worked Example: Squaring a complex number

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Practice: Differentiating x squared from first principles

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Explain Back: Differentiating one over x from first principles

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Practice: Differentiating sin x and cos x

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Explain Back: Differentiating tan x

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Worked Example: Differentiating a bracket raised to a power

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Learn: Integrating a polynomial term by term

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Learn: Finding displacement by integrating velocity

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