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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,278 prompts matching "Find sum and product of roots of x^2 + 4x - 12 = 0"

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Show All Working: Solving a cos x plus b sin x equals c by the R method

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Final Revision: Losing solutions by dividing through by cos x

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Show All Working: Proving two given lines perpendicular from their gradients

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Common Mistakes: The angle between two lines found from their gradients

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Final Revision: The perpendicular distance from a point to a line

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Common Mistakes: The condition for a line to be a tangent to a circle

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Show All Working: The rectangular hyperbola xy equals c squared

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Common Mistakes: Identifying a conic from a general second-degree equation

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Final Revision: The focus-directrix definition shared by all the conics

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Show All Working: Replacing two parallel forces by a single resultant

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Show All Working: The time at which two bodies are nearest one another

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Final Revision: Interception, where one body must catch another

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Final Revision: The distance connected particles travel before one reaches the floor

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Show All Working: The angle at which a body just begins to slide

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Common Mistakes: The work done against friction on an incline

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Common Mistakes: The condition for a body to complete a vertical circle

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Show All Working: A mass on a spring performing simple harmonic motion

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Final Revision: Showing that a given motion is simple harmonic

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Show All Working: The work done in stretching an elastic string

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Final Revision: The greatest extension reached by a falling particle on an elastic string

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