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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 arithmetic and geometric progressions back to me"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Explain the conditions for equilibrium of a rigid body

I am in SS 3. Explain the principal conditions needed for a rigid body to be in equilibriu

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Explain the polygon of forces

I am in SS 3. Explain what the polygon of forces method is and how it shows several concur

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Explain equal complex numbers

I am in SS 3. Explain the condition for two complex numbers to be equal (real parts equal

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Explain finding area under a curve using integration

I am in SS 3. Explain how definite integration gives the area under a curve between two li

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Worked Example: Simplifying an expression carrying both a negative and a fractional index

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on simpli

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Worked Example: The difference between a permutation and a combination

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Worked Example: The identities for one plus tan squared and one plus cot squared

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Worked Example: Solving cos x equals a negative value, and finding both solutions

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Worked Example: The shape, period and range of the cosine curve

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Worked Example: The equation of a circle with a given centre and radius

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

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

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

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the variance of

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

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming the normal curve

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

Act as my SS3 Further Mathematics tutor. Write a short answer on assuming multiplying a ve

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

Act as my SS3 Further Mathematics tutor. Write a short answer on treating any vector with

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

Act as my SS3 Further Mathematics tutor. Write a short answer on treating the dot product

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

Act as my SS3 Further Mathematics tutor. Write a short answer on differentiating a product

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

Act as my SS3 Further Mathematics tutor. Write a short answer on applying the power rule t

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