Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,044 prompts matching "Simplifying the answer once the denominator is rational"
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 logarithmic equation log2(x) + log2(x-2) = 3
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Subscribe to unlock allSolve the logarithmic equation log(x+1) - log(x-1) = 2
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Subscribe to unlock allSolve the logarithmic equation 2log(x) = log(x+6) + log(4)
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Subscribe to unlock allSolve the logarithmic equation log3(x^2) - log3(x+2) = 1
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Subscribe to unlock allSolve the logarithmic equation log5(x+3) + log5(2) = 2
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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked 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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Subscribe to unlock allWorked example: a GP with first term 100 and common ratio 0.5, find the sum to infinity
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Subscribe to unlock allWorked example: find the equation of the line through (2,3) and (5,9)
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Subscribe to unlock allWorked example: find the midpoint of the segment joining (-3,5) and (7,-1)
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Subscribe to unlock allWorked example: find the equation of a circle with centre (2,-1) and radius 4
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Subscribe to unlock allWorked example: find the centre and radius of the circle x^2+y^2-4x+6y-3=0
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Subscribe to unlock allWorked example: find the determinant of [[5,2],[3,4]]
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Subscribe to unlock allWorked example: find the inverse of [[2,1],[5,3]]
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Subscribe to unlock allWorked example: use matrices to solve the simultaneous equations 2x+y=8 and x-y=1
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Subscribe to unlock allWorked example: find the magnitude of the vector (3,4)
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Subscribe to unlock allWorked example: find the angle between the vectors (1,2) and (3,-1) using the dot product
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Subscribe to unlock allWorked example: find the unit vector in the direction of (6,8)
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Subscribe to unlock allWorked example: expand (x+2)^5 fully using the binomial theorem
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Subscribe to unlock allWorked example: find the term in x^3 in the expansion of (2x-1)^6
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