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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 "Finding the unit vector in the direction of a given vector"

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

Quiz me on the finding the remainder when a cubic is divided by a linear factor

Act as my SS2 Further Mathematics tutor and quiz me on finding the remainder when a cubic

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Quiz me on the inclusive sense of 'or' in a disjunction

Act as my SS2 Further Maths tutor. Quiz me by giving me combinations of true and false val

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Teach me the number of arrangements of n distinct objects

You are my SS2 Further Mathematics tutor. Teach me the number of arrangements of n distinc

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Teach me how to the general term formula of a binomial expansion

You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial

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Teach me the laws of indices at Further Maths level

Act as my SS2 Further Maths tutor. Teach me the laws of indices at the depth needed for Fu

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Teach me changing the base of a logarithm

Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and

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

Act as my SS2 Further Maths tutor. Show me a full worked example for this differentiation

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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 tangent to y = x^2 - 5x + 6 at the point where x = 1

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

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