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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 "Writing the result of a polynomial division out in full"

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Quiz: The direction cosines of a vector in three dimensions

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

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Quiz: The vector equation of the line through two given points

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

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

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

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Spot My Mistake: Finding the constant of integration from a given point

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Quiz: Why the power rule fails for the integral of one over x

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Learn: Connected rates of change through the chain rule

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Practice: The conservation of momentum in a collision

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Quiz: Newton's third law, and identifying the pair of forces

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Worked Example: Power as the rate of doing work

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Learn: The kinetic energy of a moving body

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Practice: The sum to infinity of a convergent geometric series

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Quiz: The general term of a binomial expansion

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Find the transpose of a 3x3 matrix

I am in SS 3. Give me a 3x3 matrix and ask me to write down its transpose by swapping rows

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Explain the rule of signs for determinants

Explain the checkerboard pattern of positive and negative signs used when expanding a 3x3

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Find the inverse of a 2x2 matrix #2

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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