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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 elastic potential energy stored in a stretched string"

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Simplify the surd expression sqrt(50) - sqrt(8)

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Simplify the surd expression (3+sqrt2)(3-sqrt2)

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Simplify the surd expression 5/(1+sqrt3)

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Simplify the surd expression (2+sqrt5)^2

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Solve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360

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

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

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

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

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

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Worked example: in how many ways can 6 people be seated around a circular table

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Worked example: construct the truth table for (p AND q) OR (NOT p)

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Worked example: construct the truth table for NOT(p OR q) and compare it to (NOT p) AND (NOT q)

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Real-life application of the quadratic formula

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Real-life application of combinations

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Real-life application of probability using combinatorics

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Real-life application of indices

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Real-life application of coordinate geometry

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Real-life application of the factor theorem

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