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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 "Using concurrence to find the direction of an unknown third force"

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

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Find the value of k for a line to be tangent to a curve

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

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Worked example: finding the angle between two vectors

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Final Revision: Using a symmetric function to find an unknown coefficient

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Worked example: finding the middle term of a binomial expansion

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Quiz me on the laws of logarithms used to solve an equation

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Teach me finding the determinant of a 2x2 matrix

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Teach me finding the magnitude of a vector

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Worked example: an AP with first term 5 and common difference 3, find the 20th term and the sum of the first 20 terms

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Worked example: a GP with first term 4 and common ratio 2, find the 8th term and the sum of the first 8 terms

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Worked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one

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Worked example: find the equation of the line through (2,3) and (5,9)

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Worked example: find the midpoint of the segment joining (-3,5) and (7,-1)

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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 magnitude of the vector (3,4)

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