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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 "The logarithm of the base itself"

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

Worked example: find the gradient of y = x^3 - 4x at the point where x = 2

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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 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

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

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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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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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