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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,045 prompts matching "The product of a 2 by 2 matrix with the identity"

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Use the remainder theorem on 2x^3 + x^2 - 5x + 2 divided by x + 2

Act as my SS2 Further Maths tutor. Show me step by step how to use the remainder theorem t

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Use the remainder theorem on x^3 + 3x^2 - x - 3 divided by x - 1

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Use the remainder theorem on x^3 - 6x^2 + 11x - 6 divided by x - 2

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Quiz me on the factorising a cubic with the factor theorem

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Worked example: finding the middle term of a binomial expansion

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Quiz me on the binomial expansion of a bracket raised to the power four

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

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Teach me changing the base of a logarithm

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Teach me the basics of differentiation

Act as my SS2 Further Maths tutor. Teach me the basic rules of differentiation for polynom

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Worked example: finding the gradient of a curve at a point

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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: find the gradient of y = x^3 - 4x at the point where x = 2

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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: find the equation of the line through (2,3) and (5,9)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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Worked example: find the determinant of [[5,2],[3,4]]

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Worked example: find the inverse of [[2,1],[5,3]]

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