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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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463 prompts matching "Why simultaneous linear-quadratic systems can have two solutions"

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Common Mistakes: The work done against friction on an incline

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Explain Back: A car on a banked track

I have just studied a car on a banked track in my SS3 Further Mathematics class. Let me ex

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Common Mistakes: The condition for a body to complete a vertical circle

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Learn: The defining equation of simple harmonic motion

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Explain Back: The displacement written as x equals a sin omega t

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Common Mistakes: The energy of a body in simple harmonic motion

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

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Explain Back: The elastic potential energy stored in a stretched string

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

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Spot my mistake: Assuming AB and BA give the same matrix

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Spot my mistake: Treating the kilogram and the kilogram weight as the same unit

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Spot my mistake: Adding the magnitudes of concurrent forces to get the magnitude of their resultant

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Spot my mistake: Assuming moments may only be taken about the pivot and never about another point

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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: Assuming the normal curve meets the horizontal axis at its points of inflexion

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Spot my mistake: Assuming multiplying a vector by a negative scalar leaves its magnitude negative

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Spot my mistake: Treating any vector with small components as a unit vector

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Spot my mistake: Applying the power rule to the integral of one over x

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Spot my mistake: Reporting an area computed below the x-axis as a negative distance travelled

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