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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,323 prompts matching "Completing the square with a fractional coefficient of x"

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

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

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Practice: The magnitude of the sum of two vectors

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

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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

I have just studied the resultant of forces given as vectors in my SS3 Further Mathematics

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

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Practice: The sum of a complex number and its conjugate

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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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WAEC Prep: De Moivre's theorem used with a negative index

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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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WAEC Prep: A definite integral evaluated with the limits reversed

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Practice: The range of a projectile on level ground

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Practice: The conservation of momentum in a collision

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