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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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976 prompts matching "Differentiating a sum of a polynomial and a trigonometric term"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

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

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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 inverse of [[2,1],[5,3]]

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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: how many ways can a president and secretary be chosen from 8 people

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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 quadratic equations

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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 cubic equations

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Real-life application of propositional logic

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Real-life application of truth tables

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Real-life application of permutations

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