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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,190 prompts matching "IGCSE Additional Maths Y11: When cot x is nought, and when it is undefined — Exa"

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Practice: The addition of complex numbers shown on an Argand diagram

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Practice: Converting a complex number from polar form back to a plus bi

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Explain Back: Forming a quadratic equation with given complex roots

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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: The quotient rule for differentiation

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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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Practice: A body thrown vertically upwards

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

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Practice: The range of a projectile on level ground

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Worked Example: Power as the rate of doing work

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Worked Example: Finding the first term and the common difference from two given terms

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Explain Back: The sum of the first n terms of a geometric progression

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Practice: The sum to infinity of a convergent geometric series

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Explain Back: Writing a recurring decimal as a geometric series

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Explain Back: Partial fractions with a repeated linear factor

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