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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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981 prompts matching "Why not every function has an inverse function"

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Find sum and product of roots of 2x^2 - 5x + 3 = 0

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Find sum and product of roots of x^2 + 4x - 12 = 0

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Find sum and product of roots of 3x^2 + 7x - 6 = 0

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Find sum and product of roots of x^2 - 8x + 15 = 0

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Teach me conditions for a line and a curve to intersect

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Explain the difference between remainder and factor theorem

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Quiz me on the why p implies q is true when p is false

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Worked example: expanding (x+y)^4 using Pascal's triangle

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Worked example: solving an equation with logarithms to the same base

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Worked example: solving simultaneous equations using matrices

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Spot my mistake finding a matrix inverse

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Solve the trigonometric equation tan(x) = -1, for 0 <= x <= 360

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity

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Worked example: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference

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Worked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1

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Worked example: differentiate y = (2x-1)(x+3) after expanding it first

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