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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,330 prompts matching "finding the gradient of a curve at a point"

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WAEC Prep: The standard deviation of grouped data using an assumed mean

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Show All Working: The effect on the standard deviation of adding a constant to every value

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Common Mistakes: The coefficient of variation, for comparing two sets

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Spot My Mistake: The point at which a loaded beam will tip about its support

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Learn: The velocity of one body relative to another

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Practice: The triangle of velocities for a boat crossing a river

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Common Mistakes: The relative displacement of two bodies after a given time

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Worked Example: The common acceleration of two connected particles

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Spot My Mistake: Two particles on a pulley at the top of an inclined plane

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Common Mistakes: What becomes of the tension when the string goes slack

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Quiz: The acceleration of a body sliding down a smooth incline

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Worked Example: The acceleration of a body moving round a circle at constant speed

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Learn: The defining equation of simple harmonic motion

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Quiz: The velocity of a body in simple harmonic motion at a given displacement

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Learn: Hooke's law, and what the modulus of elasticity means

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Common Mistakes: A particle oscillating on the end of an elastic string

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Spot my mistake: Treating the rth term of a binomial expansion as the one carrying the rth power

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Spot my mistake: Treating the variance of a binomial distribution as its standard deviation

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Spot my mistake: Treating the dot product of two vectors as another vector

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Spot my mistake: Differentiating a product by multiplying the derivatives of its two factors

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