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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 "Explain completing the square back to me"

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Worked Example: The amplitude, period and frequency of a simple harmonic motion

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Worked Example: The tension in a stretched elastic string

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Spot my mistake: Negating the leading diagonal and swapping the other two entries when inverting a 2 by 2 matrix

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

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Spot my mistake: Leaving out the constant of integration when velocity is found from acceleration

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Spot my mistake: Reading a strong correlation between two variables as proof that one causes the other

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Factorising an expression with a common algebraic bracket factor

I am in SS 3. Teach me factorising an expression where the common factor is itself a brack

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Simplifying algebraic fractions that need factorising a quadratic first

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Testing whether a relation is a function

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The vertical line test

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Finding the inverse of a simple linear function

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Finding the making x the subject of a fractional function

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Composite function leading to solving an equation

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One-to-one versus many-to-one functions

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Restricting the domain so an inverse exists

I am in SS 3. Teach me restricting the domain of a many-to-one function, such as f(x) = x^

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Finding f(x) given a description of the function rule

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