Further Mathematics
AI prompts for senior secondary learners.
📅 36-Week WAEC Study Guide for Further Mathematics →1,043 prompts matching "The rectangular hyperbola xy equals c squared"
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Simplify the surd expression sqrt(50) - sqrt(8)
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Subscribe to unlock allSimplify the surd expression (3+sqrt2)(3-sqrt2)
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Subscribe to unlock allSimplify the surd expression 5/(1+sqrt3)
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Subscribe to unlock allSimplify the surd expression (2+sqrt5)^2
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Subscribe to unlock allSolve the trigonometric equation 2cos(x) = 1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation sin(2x) = 0.5, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation tan(x) = -1, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation 3sin(x) - 1 = 0, for 0 <= x <= 360
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Subscribe to unlock allSolve the trigonometric equation cos^2(x) - sin^2(x) = 0.5, for 0 <= x <= 360
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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: an AP where the 4th term is 15 and the 9th term is 35, find the first term and common difference
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Subscribe to unlock allWorked example: a GP where the 2nd term is 6 and the 5th term is 162, find the first term and common ratio
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Subscribe to unlock allWorked example: find the gradient of y = x^3 - 4x at the point where x = 2
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Subscribe to unlock allWorked example: find the stationary points of y = x^3 - 3x^2 - 9x + 5 and classify each one
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Subscribe to unlock allWorked example: find the equation of the tangent to y = x^2 - 5x + 6 at the point where x = 1
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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 distance between the points (1,2) and (4,6)
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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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