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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 "Power as the rate of doing work"

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Worked example: find the equation of a circle with centre (2,-1) and radius 4

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Worked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0

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Worked example: find the modulus and argument of 3+4i

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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 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: how many distinct arrangements are there of the letters in the word MISSISSIPPI

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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: write the converse, inverse and contrapositive of 'if a number is even, then it is divisible by 2'

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Worked Example: Halving the coefficient of x and squaring it

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Show All Working: Completing the square with a fractional coefficient of x

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Show All Working: The point of contact when a line touches a curve

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Worked Example: The degree of a polynomial in one variable

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Show All Working: Synthetic division as a shorter route

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Practice: Factorising a quartic as the product of two quadratics

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Show All Working: Reading the final column of a truth table

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Show All Working: The negation of a tautology

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Show All Working: The fallacy of affirming the consequent

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