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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 "An indicial equation with the unknown in the exponent on both sides"

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Practice: Resolving three forces in two perpendicular directions

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Practice: The probability of at least one success

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Worked Example: Finding a value from a given probability by working backwards

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Practice: The magnitude of the sum of two vectors

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Practice: A vector of stated magnitude in a given direction

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Worked Example: Testing two vectors for perpendicularity

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Worked Example: Squaring a complex number

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Practice: Converting a complex number from polar form back to a plus bi

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Practice: Why complex roots of a real quadratic come in conjugate pairs

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Practice: Differentiating x squared from first principles

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Worked Example: The quotient rule for differentiation

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Worked Example: Differentiating a bracket raised to a power

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Practice: The middle term when the power is odd

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Order of matrices before multiplying

I am in SS 3. Quiz me on when two matrices can be multiplied based on their orders. Give m

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Show all working: adding three matrices in one question

Give me a Cambridge Additional-Mathematics style question that asks me to find A + B - 2C

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Multi-part matrix question: add then multiply

Set me a two-part question: part (a) add two matrices A and B, part (b) multiply the resul

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Spot my mistake in finding a matrix inverse

I found the inverse of a 2x2 matrix but I think I mixed up the sign or swapped the wrong d

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WAEC past-question practice: inverse matrices #2

I am in SS 3. Set me a WAEC-style question finding the inverse of a 3x3 matrix using cofac

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Spot my mistake resolving a force

I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component

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Teach me composition of coplanar forces

I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr

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