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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,112 prompts matching "Sum of a geometric series with a negative common ratio"

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Practice: The probability of exactly r events in a Poisson distribution

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Worked Example: The probability of no events at all in a Poisson distribution

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Practice: The variance of a binomial distribution as npq

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WAEC Prep: The standard normal distribution, with mean nought and variance one

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

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Practice: The components of a vector given its magnitude and direction

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Worked Example: Finding the unit vector in the direction of a given vector

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Practice: A vector of stated magnitude in a given direction

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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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Practice: The dot product as the magnitudes times the cosine of the angle

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Explain Back: The dot product of two perpendicular vectors

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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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Practice: The argument of a complex number in the second or third quadrant

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

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

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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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WAEC Prep: Differentiating a polynomial with a fractional index

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