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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 range of values of x for which an expression stays positive"

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

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Solve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360

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Solve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360

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Solve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360

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

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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 the magnitude of the vector (3,4)

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Worked example: find the unit vector in the direction of (6,8)

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

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Worked example: use the binomial expansion to estimate (2.01)^5 to 4 decimal places

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Give me a 5-minute recap of completing the square

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Give me a 5-minute recap of the remainder theorem

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Give me a 5-minute recap of the factor theorem

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Give me a 5-minute recap of propositions and compound statements

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Give me a 5-minute recap of converse and inverse propositions

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Give me a 5-minute recap of the binomial theorem

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Give me a 5-minute recap of indices and surds

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