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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,235 prompts matching "A tautology used to justify a rule of algebra"

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

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

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Worked Example: Power as the rate of doing work

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Solve simultaneous equations with Cramer's rule (order 2) #1

I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient

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Solve a 3x3 simultaneous equation system with Cramer's rule #1

I am in SS 3. Use Cramer's rule to solve the system x + y + z = 6, 2x - y + z = 3, x + 2y

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Solve a 3x3 simultaneous equation system with Cramer's rule #2

I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2

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Solve a 3x3 simultaneous equation system with Cramer's rule #3

Use Cramer's rule to solve the system x - 2y + z = -1, 3x + y - z = 8, 2x - y + 3z = 5. Sh

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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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Teach me the chain rule with an example

I am in SS 3. Teach me the chain rule for differentiation as if I've never used it, with o

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Worked example: resultant of two forces

I am in SS 3. Show me one fully worked example finding the resultant of two forces at an a

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Spot my mistake finding a vector cross product

I am in SS 3. I calculated the cross product of two 3D vectors but I'm not confident about

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Teach me Cramer's rule from first principles

I am in SS 3. Teach me Cramer's rule as if I've never seen it before, starting from why de

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Worked Example: The intersection of two overlapping sets

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Worked Example: The discriminant, and what each of its three cases means

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Worked Example: The sum of the products of the roots of a cubic taken two at a time

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Worked Example: The number of arrangements of n different objects in a row

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Final Revision: Counting the number plates or codes that can be formed under a rule

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Final Revision: Combinations used with the addition and multiplication principles

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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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 parametric form of a point on a parabola

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