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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,019 prompts matching "A set closed under one operation but not another"

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Worked Example: The position vector of the midpoint of AB

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Worked Example: The triangle law of vector addition

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Explain Back: The dot product of two perpendicular vectors

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Worked Example: Testing two vectors for perpendicularity

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Explain Back: The resultant of forces given as vectors

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Worked Example: The powers of i, and the cycle they follow

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Learn: The real and the imaginary parts of a complex number

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Worked Example: Squaring a complex number

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Explain Back: The locus of a complex number at a fixed distance from a point

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Explain Back: Raising a complex number to a power by de Moivre's theorem

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Learn: The cube roots of unity

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Explain Back: Forming a quadratic equation with given complex roots

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Explain Back: Differentiating tan x

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Worked Example: The quotient rule for differentiation

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Learn: Choosing between the product rule and the quotient rule

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Worked Example: Differentiating a bracket raised to a power

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Learn: Differentiating sin of a multiple of x

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Worked Example: Classifying a stationary point by the sign of the gradient either side

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Explain Back: The constant of integration, and why it appears

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Learn: Integrating a polynomial term by term

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