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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 "Why the mean and the variance of a Poisson distribution are equal"

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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: 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 distance between the points (1,2) and (4,6)

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

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Worked example: find the term in x^3 in the expansion of (2x-1)^6

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Worked example: find the coefficient of x^4 in the expansion of (1+3x)^7

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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 completing the square

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Real-life application of the quadratic formula

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Real-life application of the remainder theorem

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Real-life application of the binomial theorem

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Real-life application of sequences and series

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Real-life application of the factor theorem

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Real-life application of the condition for a line to be tangent to a curve

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