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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 "A particle in equilibrium on a smooth inclined plane"

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Worked example: solve x^2+4x+13=0 giving the roots as complex numbers

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Worked example: find AB where A = [[1,2],[3,4]] and B = [[2,0],[1,3]]

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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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Worked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1

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Worked example: find A+B and A-B where A = [[1,-2],[3,0]] and B = [[4,1],[-2,5]]

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Worked example: find the magnitude of the vector (3,4)

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Worked example: find a+b where a=(2,-1) and b=(-3,5)

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Worked example: find the angle between the vectors (1,2) and (3,-1) using the dot product

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Worked example: find 2a-3b where a=(4,1) and b=(-2,3)

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Worked example: expand (x+2)^5 fully using the binomial theorem

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Factorise x^2 + 5x + 6

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Factorise x^2 - 7x + 12

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Factorise x^2 + 2x - 15

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Factorise 2x^2 + 7x + 3

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Factorise 3x^2 - 5x - 2

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Factorise 6x^2 + x - 12

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Act as my SS2 Further Maths tutor. Walk me through factorising the quadratic trinomial x^2

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Factorise 4x^2 - 25

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Factorise x^2 - x - 20

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