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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,334 prompts matching "An answer left in surd form after completing the square"

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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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Learn: The angle between a vector and one of the axes

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Practice: Deciding whether a point lies on a given line

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

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Worked Example: Squaring a complex number

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Practice: The sum of a complex number and its conjugate

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

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

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

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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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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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Learn: Integrating a polynomial term by term

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Worked Example: The area between a curve and the x-axis

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Learn: Finding displacement by integrating velocity

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